%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Petter Erling Bj{\o}rstad", %%% version = "2.31", %%% date = "30 January 2019", %%% time = "07:27:45 MST", %%% filename = "domain-decomp.bib", %%% address = "Institutt for Informatikk, %%% H{\o}yteknologisenteret %%% Universitetet i Bergen %%% Bergen, Norway N-5020", %%% telephone = "+47-55544171", %%% FAX = "+47-55544199", %%% checksum = "01780 39674 154673 1637165", %%% email = "Petter.Bjorstad at ii.uib.no (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "numerical analysis, parallel computing", %%% license = "public domain", %%% supported = "no", %%% docstring = "This is a bibliography of publications on %%% domain decomposition. %%% %%% At version 2.00, results from searches of the %%% TeX User Group and BibNet Project %%% bibliography archives, and of the MathSciNet %%% database, were added to the original 238 %%% entires from the author's original collection %%% of data from 1890 to 1993. Based on the %%% MathSciNet search results, the results here %%% cover about 1/5 to 1/3 of those recorded in %%% that database. Much work therefore remains %%% to be done to expand the coverage, and %%% possibly, tighten the focus, of this %%% subject-specific bibliography. %%% %%% At version 2.31, the year coverage looked %%% like this: %%% %%% 1890 ( 1) 1931 ( 0) 1972 ( 2) %%% 1891 ( 0) 1932 ( 0) 1973 ( 3) %%% 1892 ( 0) 1933 ( 0) 1974 ( 1) %%% 1893 ( 0) 1934 ( 1) 1975 ( 1) %%% 1894 ( 0) 1935 ( 0) 1976 ( 1) %%% 1895 ( 0) 1936 ( 1) 1977 ( 0) %%% 1896 ( 1) 1937 ( 0) 1978 ( 3) %%% 1897 ( 0) 1938 ( 0) 1979 ( 1) %%% 1898 ( 0) 1939 ( 0) 1980 ( 3) %%% 1899 ( 0) 1940 ( 0) 1981 ( 3) %%% 1900 ( 0) 1941 ( 0) 1982 ( 3) %%% 1901 ( 1) 1942 ( 0) 1983 ( 7) %%% 1902 ( 0) 1943 ( 0) 1984 ( 12) %%% 1903 ( 0) 1944 ( 1) 1985 ( 13) %%% 1904 ( 0) 1945 ( 0) 1986 ( 22) %%% 1905 ( 0) 1946 ( 0) 1987 ( 27) %%% 1906 ( 0) 1947 ( 0) 1988 ( 69) %%% 1907 ( 0) 1948 ( 0) 1989 ( 96) %%% 1908 ( 0) 1949 ( 0) 1990 ( 77) %%% 1909 ( 0) 1950 ( 0) 1991 ( 96) %%% 1910 ( 0) 1951 ( 0) 1992 ( 95) %%% 1911 ( 0) 1952 ( 0) 1993 ( 86) %%% 1912 ( 0) 1953 ( 0) 1994 ( 86) %%% 1913 ( 0) 1954 ( 0) 1995 ( 78) %%% 1914 ( 0) 1955 ( 0) 1996 ( 86) %%% 1915 ( 0) 1956 ( 2) 1997 ( 84) %%% 1916 ( 0) 1957 ( 1) 1998 ( 75) %%% 1917 ( 0) 1958 ( 1) 1999 ( 71) %%% 1918 ( 0) 1959 ( 0) 2000 ( 72) %%% 1919 ( 0) 1960 ( 0) 2001 ( 70) %%% 1920 ( 0) 1961 ( 0) 2002 ( 63) %%% 1921 ( 0) 1962 ( 1) 2003 ( 72) %%% 1922 ( 0) 1963 ( 1) 2004 ( 60) %%% 1923 ( 0) 1964 ( 0) 2005 ( 67) %%% 1924 ( 0) 1965 ( 0) 2006 ( 62) %%% 1925 ( 0) 1966 ( 1) 2007 ( 64) %%% 1926 ( 0) 1967 ( 1) 2008 ( 62) %%% 1927 ( 0) 1968 ( 0) 2009 ( 62) %%% 1928 ( 0) 1969 ( 1) 2010 ( 38) %%% 1930 ( 0) 1971 ( 1) %%% 19xx ( 2) %%% %%% Article: 920 %%% Book: 82 %%% InBook: 3 %%% InCollection: 458 %%% InProceedings: 113 %%% MastersThesis: 1 %%% PhdThesis: 11 %%% Proceedings: 151 %%% TechReport: 70 %%% Unpublished: 2 %%% %%% Total entries: 1811 %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ====================================================================

@Preamble{ "" # "\def \Dbar {\leavevmode \lower.6ex \hbox to 0pt{\hskip-.23ex \accent"16\hss}D} " # "\def \cdprime {$''$} " # "\def \cprime {$'$} " # "\def \hckudot #1{\ifmmode \setbox7 \hbox{$\accent"14#1$}\else \setbox7 \hbox{\accent"14#1}\penalty 10000\relax \fi \raise 1\ht7 \hbox{\raise.2ex\hbox to 1\wd7{\hss.\hss}}\penalty 10000 \hskip-1\wd7 \penalty 10000\box7} " # "\def\polhk#1{\setbox0=\hbox{#1}{\ooalign{\hidewidth \lower1.5ex\hbox{`}\hidewidth\crcr\unhbox0}}} " # "\ifx \undefined \cyr \let \cyr = \rm \fi" }

%% Other: The keys of this collection should most likely be updated %% and standardized. This bibliography has been collected over %% time by several scientists, credit is particularly due to %% professor Olof Widlund

%%% ==================================================================== %%% Institute abbreviations:

@String{inst-CC-SB-USSR-ACAD-SCI= "Computing Center of the Siberian Branch of the {USSR} Academy of Sciences"} @String{inst-CC-SB-USSR-ACAD-SCI:adr= "Novosibirsk, USSR"} @String{inst-CERFACS= "CERFACS"} @String{inst-CERFACS:adr= "Toulouse, France"} @String{inst-CS-PURDUE= "Department of Computer Science, Purdue University"} @String{inst-CS-PURDUE:adr= "West Lafayette, IN 47907-2107, USA"} @String{inst-MATH-NPS= "Department of Mathematics, Naval Postgraduate School"} @String{inst-MATH-NPS:adr= "Monterey CA 93943, USA"} @String{inst-SRC-IDA= "Supercomputing Research Center: IDA"} @String{inst-SRC-IDA:adr= "Lanham, MD, USA"} @String{inst-UIUC-CSRD= "University of Illinois at Urbana-Champaign, Center for Supercomputing Research and Development"} @String{inst-UIUC-CSRD:adr= "Urbana, IL 61801, USA"}

%%% ==================================================================== %%% Journal abbreviations:

@String{j-ACTA-MATH= "Acta Math"} @String{j-ADV-COMPUT-MATH= "Advances in computational mathematics"} @String{j-AIAAJ= "Am. Inst. Aero. Astro. J."} @String{j-ANN-INST-HENRI-POINCARE-ANAL-NON-LINEAIRE= "Annales de l'Institut Henri Poincar{\'e}. Analyse non lin{\'e}aire"} @String{j-ANZIAM-J= "The ANZIAM Journal"} @String{j-APP-MATH-COMP= "Appl. Math. Comp."} @String{j-APP-NUM-ANA= "Applied Numerical Analysis"} @String{j-APP-NUM-MATH= "Appl. Num. Math."} @String{j-APP-THEORY= "J. Appr. Theory"} @String{j-APPL-ANAL= "Applicable Analysis"} @String{j-APPL-MATH= "Applications of Mathematics"} @String{j-APPL-MATH-COMP= "Applied Mathematics and Computation"} @String{j-APPL-MATH-LETT= "Applied Mathematics Letters"} @String{j-APPL-MATH-MECH-ENGL-ED= "Applied mathematics and mechanics = Ying yung shu hsueh ho li hsueh"} @String{j-APPL-NUM-ANAL-COMPUT-MATH= "ANACM. Applied Numerical Analysis and Computational Mathematics"} @String{j-APPL-NUM-MATH= "Applied Numerical Mathematics: Transactions of IMACS"} @String{j-BIT= "BIT (Nordisk tidskrift for informationsbehandling)"} @String{j-BIT-NUM-MATH= "BIT Numerical Mathematics"} @String{j-BULL-AM-MATH-SOC= "Bull. Amer. Math. Soc."} @String{j-C-R-ACAD-SCI-PARIS-SER-I-MATH= "Comptes Rendus des S{\'e}ances de l'Acad{\'e}mie des Sciences. S{\'e}rie I. Math{\'e}matique"} @String{j-C-R-MATH-ACAD-SCI-PARIS= "Comptes Rendus Math{\'e}matique. Acad{\'e}mie des Sciences. Paris"} @String{j-CALCOLO= "Calcolo"} @String{j-CCPE= "Concurrency and Computation: Prac\-tice and Experience"} @String{j-CGF= "Com{\-}pu{\-}ter Graphics Forum"} @String{j-COMM-APPL-ANAL= "Communications in Applied Analysis"} @String{j-COMM-NUMER-METHODS-ENGRG= "Communications in Numerical Methods in Engineering"} @String{j-COMMUN-APPL-MATH-COMPUT-SCI= "Communications in Applied Mathematics and Computational Science"} @String{j-COMMUN-COMPUT-PHYS= "Communications in Computational Physics"} @String{j-COMP-APPL-MATH= "J. of Computational and Applied Mathematics"} @String{j-COMP-GEOSCI= "Computers and Geosciences"} @String{j-COMP-J= "The Computer Journal"} @String{j-COMP-MATH= "Journal of Computational Mathematics"} @String{j-COMPUT-MATH-APPL= "Computers and Mathematics with Applications"} @String{j-COMP-METH-APP-MECH-ENG= "Comput. Meth. Appl. Mech. Engin."} @String{j-COMP-PHYS-COMM= "Computer Physics Communications"} @String{j-COMPUT-MECH= "Computational mechanics"} @String{j-COMPUT-METH-APPL-MATH= "Computational Methods in Applied Mathematics"} @String{j-COMPUT-METH-APPL-MECH-ENG= "Computer Methods in Applied Mechanics and Engineering"} @String{j-COMPUT-SYST-ENG= "Computing Systems in Engineering"} @String{j-COMPUT-VIS-SCI= "Computing and Visualization in Science"} @String{j-COMPUTING= "Computing"} @String{j-COMPUTING-SUPPLEMENTUM= "Computing. Supplementum"} @String{j-CONTROL-CYBERN= "Control and cybernetics"} @String{j-CPE= "Concurrency: practice and experience"} @String{j-CRAS-PARIS= "C. R. Acad. Sci. Paris"} @String{j-CZECH-MATH-J= "Czech. Math. J."} @String{j-DOKL-AKAD-NAUK= "Doklady Akademii nauk SSSR"} @String{j-ELECTRON-TRANS-NUMER-ANAL= "Electronic Transactions on Numerical Analysis"} @String{j-ENG-ANAL-BOUND-ELEM= "Engineering Analysis with Boundary Elements"} @String{j-EW-J-NUM-MATH= "East-West Journal of Numerical Mathematics"} @String{j-FUT-GEN-COMP-SYS= "Future Generation Computer Systems"} @String{j-IBM-SYS-J= "IBM Systems Journal"} @String{j-IEEE-COMPUT-SCI-ENG= "IEEE Computational Science \& Engineering"} @String{j-IEEE-TRANS-ANTENNAS-PROPAG= "IEEE Transactions on Antennas and Propagation"} @String{j-IEEE-TRANS-IMAGE-PROCESS= "IEEE Transactions on Image Processing"} @String{j-IEEE-TRANS-NETWORKING= "IEEE\slash ACM Transactions on Networking"} @String{j-IEEE-TRANS-PAR-DIST-SYS= "IEEE Transactions on Parallel and Distributed Systems"} @String{j-IFIP-TRANS-A= "IFIP Transactions. A. Computer Science and Technology"} @String{j-IJSA= "The International Journal of Supercomputer Applications"} @String{j-IJSAHPC= "The International Journal of Supercomputer Applications and High Performance Computing"} @String{j-IMA-J-NUMER-ANAL= "IMA Journal of Numerical Analysis"} @String{j-IMP-COMP-SCI-ENG= "Impact Comput. Sci. Eng."} @String{j-INT-J-COMPUT-FLUID-DYN= "International Journal of Computational Fluid Dynamics"} @String{j-INT-J-COMPUT-SYST-SCI-ENG= "International Journal of Computer Systems Science and Engineering"} @String{j-INT-J-CONTROL= "International Journal of Control"} @String{j-INT-J-HIGH-SPEED-COMPUTING= "International Journal of High Speed Computing (IJHSC)"} @String{j-INT-J-NUM-METH-ENG= "International J. Numer. Methods Engineering"} @String{j-INT-J-NUMER-METHODS-ENG= "International Journal for Numerical Methods in Engineering"} @String{j-INT-J-NUMER-METHODS-FLUIDS= "International Journal for Numerical Methods in Fluids"} @String{j-INT-J-PAR-EMER-DIST-SYS= "International Journal of Parallel, Emergent and Distributed Systems: IJPEDS"} @String{j-INT-J-PURE-APPL-MATH= "International Journal of Pure and Applied Mathematics"} @String{j-INVERSE-PROBLEMS= "Inverse Problems"} @String{j-IZV-VYSS-UCEBN-ZAVED-MAT= "Izvestiia vysshikh uchebnykh zavedenii. Matematika"} @String{j-J-ALGORITHMS-COMPUT-TECHNOL= "Journal of Algorithms \& Computational Technology"} @String{j-J-COMPUT-APPL-MATH= "Journal of Computational and Applied Mathematics"} @String{j-J-COMP-MATH= "Journal of Computational Mathematics"} @String{j-J-COMPLEXITY= "Journal of complexity"} @String{j-J-COMPUT-PHYS= "Journal of computational physics"} @String{j-J-FLUID-MECH= "Journal of Fluid Mechanics"} @String{j-J-NUM-LIN-ALG-APPL= "Journal of Numerical linear algebra with applications"} @String{j-J-NUMER-METHODS-COMPUT-APPL= "Journal on Numerical Methods and Computer Applications"} @String{j-J-PAR-DIST-COMP= "Journal of Parallel and Distributed Computing"} @String{j-J-SCI-COMPUT= "Journal of Scientific Computing"} @String{j-J-SUPERCOMPUTING= "The Journal of Supercomputing"} @String{j-LINEAR-ALGEBRA-APPL= "Linear Algebra and its Applications"} @String{j-MATH-COMP-MODELLING= "Mathematical and computer modelling"} @String{j-MATH-COMP-SIM= "Mathematics and Computers in Simulation"} @String{j-MATH-COMPUT= "Mathematics of Computation"} @String{j-MATH-MODEL-NUM-ANA= "Mathematical modelling and numerical analysis = Modelisation math{\'e}matique et analyse num{\'e}rique: $M^2AN$"} @String{j-MATH-MODELS-METHODS-APPL-SCI= "Mathematical models and methods in applied sciences"} @String{j-MMAN= "$M^{2}AN$"} @String{j-NONLINEAR-ANAL= "Nonlinear Analysis, Theory, Methods and Applications"} @String{j-NUM-LIN-ALG-APPL= "Numerical Linear Algebra with Applications"} @String{j-NUM-MATH= "Numerische Mathematik"} @String{j-NUMER-ALGORITHMS= "Numerical Algorithms"} @String{j-NUMER-METHODS-PARTIAL-DIFFER-EQU= "Numerical Methods for Partial Differential Equations"} @String{j-PARALLEL-COMPUTING= "Parallel Computing"} @String{j-REND-MAT-APPL-1981= "Rendiconti di matematica e delle sue applicazioni (1981)"} @String{j-RUSS-J-NUM-ANAL-MATH-MODEL= "Russian journal of numerical analysis and mathematical modelling"} @String{j-SIAM-J-MAT-ANA-APPL= "SIAM Journal on Matrix Analysis and Applications"} @String{j-SIAM-J-MAT-ANAL-APPL= "SIAM J. Matrix Anal. Appl."} @String{j-SIAM-J-MATH-ANA= "SIAM journal on mathematical analysis"} @String{j-SIAM-J-NUMER-ANAL= "SIAM Journal on Numerical Analysis"} @String{j-SIAM-J-SCI-COMP= "SIAM Journal on Scientific Computing"} @String{j-SIAM-J-SCI-STAT-COMP= "SIAM Journal on Scientific and Statistical Computing"} @String{j-SIAM-REVIEW= "SIAM Review"} @String{j-SIB-MAT-Z= "Sibirskii matematicheskii zhurnal"} @String{j-SOV-MATH= "Soviet Mathematics"} @String{j-J-SYMBOLIC-COMP= "Journal of Symbolic Computation"} @String{j-J-SYST-SOFTW= "The Journal of Systems and Software"} @String{j-LECT-NOTES-COMP-SCI= "Lecture Notes in Computer Science"} @String{j-MULTISCALE-MODELING-SIMUL= "Multiscale Modeling \& Simulation"} @String{j-PARALLEL-ALGORITHMS-APPL= "Parallel Algorithms and Applications"} @String{j-SCI-PROG= "Scientific Programming"} @String{j-SIAM-J-CONTROL-OPTIM= "SIAM Journal on Control and Optimization"} @String{j-SIGADA-LETTERS= "ACM SIGADA Ada Letters"} @String{j-SIGMETRICS= "ACM SIGMETRICS Performance Evaluation Review"} @String{j-SIGNUM= "ACM SIGNUM Newsletter"} @String{j-SIGPLAN= "ACM SIG{\-}PLAN Notices"} @String{j-SIGSAM= "SIGSAM Bulletin (ACM Special Interest Group on Symbolic and Algebraic Manipulation)"} @String{j-SUPERCOMPUTER= "Supercomputer"} @String{j-TCBB= "IEEE/ACM Transactions on Computational Biology and Bioinformatics"} @String{j-THEOR-COMP-SCI= "Theoretical Computer Science"} @String{j-TODS= "ACM Transactions on Database Systems"} @String{j-TOG= "ACM Transactions on Graphics"} @String{j-TOMS= "ACM Transactions on Mathematical Software"} @String{j-TOPLAS= "ACM Transactions on Programming Languages and Systems"} @String{j-TRANS-SOC-COMP-SIM= "Transactions of the Society for Computer Simulation"} @String{j-VLDB-J= "VLDB Journal: Very Large Data Bases"} @String{j-USSR-COMP-MATH-MATH-PHYS= "U.S.S.R. Computational Math. and Math. Phys."} @String{j-Z-ANA-ANW= "Z. Anal. Anwendungen"} @String{j-Z-ANGE-MATH-MECH= "{Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}"} @String{j-Z-VYCISL-MAT-MAT-FIZ= "Zhurnal vychislitel'noi matematiki i matematicheskoi fiziki"} @String{j-ZAMM= "ZAMM"}

%%% ==================================================================== %%% Publisher abbreviations:

@String{pub-ACADEMIA= "Academia"} @String{pub-ACADEMIA:adr= "Prague"} @String{pub-ACADEMIC= "Academic Press"} @String{pub-ACADEMIC:adr= "New York, NY, USA"} @String{pub-ACM= "ACM Press"} @String{pub-ACM:adr= "New York, NY 10036, USA"} @String{pub-AKADEMIE-VERLAG= "Akademie-Verlag"} @String{pub-AKADEMIE-VERLAG:adr= "Berlin, Germany"} @String{pub-AMS= "AMS"} @String{pub-AMS:adr= "Providence, RI, USA"} @String{pub-ATT-BELL= "AT\&T Bell Laboratories"} @String{pub-ATT-BELL:adr= "Murray Hill, NJ, USA"} @String{pub-BIRKHAUSER= "Birkh{\"a}user Verlag"} @String{pub-BIRKHAUSER:adr= "Basel, Switzerland"} @String{pub-BIRKHAUSER-BOSTON= "Birkh{\"a}user Boston Inc."} @String{pub-BIRKHAUSER-BOSTON:adr= "Cambridge, MA, USA"} @String{pub-BOOLE= "Boole Press"} @String{pub-BOOLE:adr= "Dublin, Ireland"} @String{pub-BULG-ACAD-SCI= "Bulgarian Academy of Sciences"} @String{pub-BULG-ACAD-SCI:adr= "Sofia, Bulgaria"} @String{pub-CAMBRIDGE= "Cambridge University Press"} @String{pub-CAMBRIDGE:adr= "Cambridge, UK"} @String{pub-CRC= "CRC Press"} @String{pub-CRC:adr= "2000 N.W. Corporate Blvd., Boca Raton, FL 33431-9868, USA"} @String{pub-DOVER= "Dover Publications"} @String{pub-DOVER:adr= "New York"} @String{pub-DUNOD= "Dunod"} @String{pub-DUNOD:adr= "Paris, France"} @String{pub-ELLIS-HORWOOD= "Ellis Horwood"} @String{pub-ELLIS-HORWOOD:adr= "New York, NY, USA"} @String{pub-ELSEVIER= "Elsevier"} @String{pub-ELSEVIER:adr= "Amsterdam, The Netherlands"} @String{pub-IEEE= "IEEE Computer Society Press"} @String{pub-IEEE:adr= "1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA"} @String{pub-IMACS= "IMACS"} @String{pub-IMACS:adr= "Department of Computer Science, Rutgers University, New Brunswick, NJ"} @String{pub-JOHNS-HOPKINS= "The Johns Hopkins University Press"} @String{pub-JOHNS-HOPKINS:adr= "Baltimore, MD, USA"} @String{pub-KLUWER= "Kluwer Academic Publishers"} @String{pub-KLUWER:adr= "Norwell, MA, USA, and Dordrecht, The Netherlands"} @String{pub-LONGMAN= "Longman Scientific and Technical"} @String{pub-LONGMAN:adr= "Harlow, Essex, UK"} @String{pub-MASSON= "Masson Editeur"} @String{pub-MASSON:adr= "Masson, France"} @String{pub-MATH-SOC-CHARKOV= "Mathematical Society of Charkov"} @String{pub-MATH-SOC-CHARKOV:adr= "Charkov, Russia"} @String{pub-MCGRAW-HILL= "McGraw-Hill"} @String{pub-MCGRAW-HILL:adr= "New York"} @String{pub-NAUKA= "Nauka"} @String{pub-NAUKA:adr= "Moscow, USSR"} @String{pub-NORTH-HOLLAND= "North-Holland Publishing Co."} @String{pub-NORTH-HOLLAND:adr= "Amsterdam, The Netherlands"} @String{pub-NTH= "NTH"} @String{pub-NTH:adr= "Trondheim, Norway"} @String{pub-OXFORD= "Oxford University Press"} @String{pub-OXFORD:adr= "Walton Street, Oxford OX2 6DP, UK"} @String{pub-PH= "Prentice-{H}all"} @String{pub-PH:adr= "Englewood Cliffs, NJ 07632, USA"} @String{pub-PITMAN= "Pitman Publishing"} @String{pub-PITMAN:adr= "London, UK"} @String{pub-PLENUM= "Plenum Press"} @String{pub-PLENUM:adr= "New York, NY, USA; London, UK"} @String{pub-PRENTICE-HALL= "Prentice-Hall"} @String{pub-PRENTICE-HALL:adr= "Englewood Cliffs, N.J."} @String{pub-SIAM= "SIAM"} @String{pub-SIAM:adr= "Philadelphia, PA, USA"} @String{pub-SPRINGER= "Springer-Verlag"} @String{pub-SPRINGER:adr= "Berlin"} @String{pub-SV= "Springer-Verlag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-TEUBNER= "Teubner"} @String{pub-TEUBNER:adr= "Stuttgart, Germany; Leipzig, Germany"} @String{pub-U-ALABAMA= "University of Alabama in Huntsville Press"} @String{pub-U-ALABAMA:adr= "Huntsville, AL, USA"} @String{pub-USSR-ACAD-SCI= "USSR{A}cademy of {S}ciences"} @String{pub-USSR-ACAD-SCI:adr= "Moscow, USSR"} @String{pub-VIEWEG= "Vieweg \& Son"} @String{pub-VIEWEG:adr= "Braunschweig, Germany"} @String{pub-VIEWEG-VERLAG= "Vieweg-Verlag"} @String{pub-VIEWEG-VERLAG:adr= "Braunschweig and Wiesbaden, Germany"} @String{pub-WILEY= "John Wiley and Sons, Ltd."} @String{pub-WILEY:adr= "New York, London, Sydney"} @String{pub-WORLD-SCI= "World Scientific Publishing Co. Pte. Ltd."} @String{pub-WORLD-SCI:adr= "P. O. Box 128, Farrer Road, Singapore 9128"}

%%% ==================================================================== %%% Series abbreviations:

@String{ser-LNCS= "Lecture Notes in Computer Science"} @String{ser-LNCSE= "Lecture Notes in Computational Science and Engineering"}

%%% ==================================================================== %%% Bibliography entries:

@InBook{Schwarz:1890:GMA, author = "H. A. Schwarz", title = "{Gesammelte Mathematische Abhandlungen}", volume = "2", publisher = pub-SV, address = pub-SV:adr, pages = "133--143", year = "1890", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "First published in {Vierteljahrsschrift} der {Naturforschenden} {Gesellschaft} in {Z}{\"u}rich, volume 15, 1870, pp. 272--286.", } @Article{Poincare:1896:MNP, author = "Henri Poincar{\'e}", title = "La m{\'e}thode de {Neumann} et le probl{\`e}me de {Dirichlet}. ({French}) [{The} {Neumann} method and the {Dirichlet} problem]", journal = j-ACTA-MATH, volume = "20", pages = "59--??", year = "1896", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", language = "French", } @Book{Steklov:1901:GMS, author = "V. A. Steklov", title = "General Methods for Solving Basic Problems of Mathematical Physics", publisher = pub-MATH-SOC-CHARKOV, address = pub-MATH-SOC-CHARKOV:adr, year = "1901", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Book{Hardy:1934:I, author = "G. H. Hardy and J. E. Littlewood and G. P{\'o}lya", title = "Inequalities", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xii + 314", year = "1934", LCCN = "QA303 .H32 1934", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Sobolev:1936:LST, author = "S. L. Sobolev", title = "{L}'Algorithme de {Schwarz} dans la Th{\'e}orie de l'Elasticit{\'e}. ({French}) [{The} {Schwarz} algorithm in the theory of elasticity]", journal = "Comptes Rendus (Doklady) de {l'Acad{\'e}mie des Sciences de l'URSS}", volume = "IV", number = "(XIII) 6", pages = "243--246", year = "1936", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", language = "French", } @Article{Bellman:1944:NIS, author = "Richard Bellman", title = "A Note on an Inequality of {E. Schmidt}", journal = j-BULL-AM-MATH-SOC, volume = "50", pages = "734--736", year = "1944", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Hestenes:1956:CGM, author = "Magnus R. Hestenes", booktitle = "Proc. Symp. Appl. Math VI, American Mathematical Society", title = "The Conjugate Gradient Method for Solving Linear Systems", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "83--102", year = "1956", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Morgenstern:1956:BAV, author = "D. Morgenstern", title = "{Begr{\"u}ndung des alternierenden Verfahrens durch Orthogonalprojektion}. ({German}) [{Basis} of the alternating procedure for orthogonal projection]", journal = j-ZAMM, volume = "36", pages = "7--8", year = "1956", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", language = "German", } @Article{Babuska:1957:SAP, author = "Ivo Babu{\v{s}}ka", title = "{{\"U}ber Schwarzsche Algorithmen in partielle Differentialgleichungen der mathematischen Physik}. ({German}) [{On} the {Schwarz} algorithms in partial differential equations of mathematical physics]", journal = j-ZAMM, volume = "37", number = "7--8", pages = "243--245", year = "1957", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", language = "German", } @Article{Babuska:1958:SAP, author = "Ivo Babu{\v{s}}ka", title = "The {Schwarz} Algorithm in Partial Differential Equations of Mathematical Physics", journal = j-CZECH-MATH-J, volume = "83", number = "8", pages = "328--343", year = "1958", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "In Russian", } @Book{Varga:1962:MIA, author = "Richard S. Varga", title = "Matrix Iterative Analysis", publisher = pub-PRENTICE-HALL, address = pub-PRENTICE-HALL:adr, pages = "322", year = "1962", LCCN = "QA263 .V3 1962", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Przemieniecki:1963:MSA, author = "J. S. Przemieniecki", title = "Matrix structural analysis of substructures", journal = j-AIAAJ, volume = "1", pages = "138--147", year = "1963", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Bramble:1966:SOF, author = "James H. Bramble", title = "A second order finite difference analogue of the first biharmonic boundary value problem", journal = j-NUM-MATH, volume = "9", pages = "236--249", year = "1966", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Book{Necas:1967:MDT, author = "Jind{\v{r}}ich Ne{\v{c}}as", title = "Les m{\'e}thodes directes en th{\'e}orie des {\'e}quations elliptiques. ({French}) [{Direct} methods in the theory of elliptic equations]", publisher = pub-ACADEMIA, address = pub-ACADEMIA:adr, pages = "351", year = "1967", LCCN = "QA377 .N4", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", language = "French", } @InBook{Ilin:1969:PSC, author = "V. P. Il'in", title = "The Properties of Some Classes of Differentiable Functions of Several Variables Defined in an $n$-dimensional Region", volume = "81", publisher = pub-AMS, address = pub-AMS:adr, pages = "91--256", year = "1969", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Originally in Trudy Mat. Inst. Steklov. 66 (1962), 227--363", series = "2", } @Article{Schultz:1971:EBR, author = "Martin H. Schultz", title = "${L}^{2}$ error bounds for the {Rayleigh--Ritz--Galerkin} method", journal = j-SIAM-J-NUMER-ANAL, volume = "8", number = "4", pages = "737--748", month = dec, year = "1971", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, } @Book{Lions:1972:NBV, author = "Jacques-Louis Lions and Enrico Magenes", title = "Nonhomogeneous Boundary Value Problems and Applications", volume = "I", publisher = pub-SV, address = pub-SV:adr, year = "1972", ISBN = "0-387-05363-8", ISBN-13 = "978-0-387-05363-9", LCCN = "QA3 .G75 v.181", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Strang:1972:AFE, author = "Gilbert Strang", title = "Approximation in the finite element method", journal = j-NUM-MATH, volume = "19", pages = "81--98", year = "1972", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Book{Bell:1973:NPS, author = "K. Bell and B. Hatlestad and O. E. Hansteen and Per O. Araldsen", title = "{NORSAM}, a programming system for the finite element method. {Users} manual, {Part} 1, {General} description", publisher = pub-NTH, address = pub-NTH:adr, year = "1973", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{George:1973:NDR, author = "Alan George", title = "Nested Dissection of a Regular Finite Element Mesh", journal = j-SIAM-J-NUMER-ANAL, volume = "10", number = "2", pages = "345--363", month = apr, year = "1973", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, } @Book{Strang:1973:AFE, author = "Gilbert Strang and George J. Fix", title = "An Analysis of the Finite Element Method", publisher = pub-PH, address = pub-PH:adr, pages = "xiv + 306", year = "1973", ISBN = "0-13-032946-0", ISBN-13 = "978-0-13-032946-2", LCCN = "TA335 .S77", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Schatz:1974:OCR, author = "Alfred H. Schatz", title = "An observation concerning {Ritz--Galerkin} methods with indefinite bilinear forms", journal = j-MATH-COMPUT, volume = "28", number = "128", pages = "959--962", month = oct, year = "1974", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290B (Error analysis in numerical methods); B0290P (Differential equations); C4110 (Error analysis in numerical methods); C4170 (Differential equations)", keywords = "analysis; boundary value problems; boundary-value problems; error; error analysis; estimates; existence; finite element; finite element method; Garding type inequality; indefinite bilinear forms; partial differential equations; Ritz/Galerkin methods; uniqueness", treatment = "T Theoretical or Mathematical", } @InProceedings{Raviart:1975:MFE, author = "P. A. Raviart and J. M. Thomas", editor = "A. Dold and B. Eckmann", booktitle = "Mathematical Aspects of Finite Element Methods", title = "A Mixed Finite Element Method for 2-nd Order Elliptic Problems", publisher = pub-SV, address = pub-SV:adr, year = "1975", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Lecture Notes of Mathematics, Volume 606", } @InProceedings{Concus:1976:GCG, author = "Paul Concus and Gene H. Golub and Dianne P. O'Leary", editor = "James R. Bunch and Donald J. Rose", booktitle = "Sparse Matrix Computations", title = "A generalized conjugate gradient method for the numerical solution of elliptic {PDE}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "309--332", year = "1976", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Astrakhatsev:1978:MFD, author = "G. P. Astrakhatsev", title = "Method of fictitious domains for a second-order elliptic equation with natural boundary conditions", journal = j-USSR-COMP-MATH-MATH-PHYS, volume = "18", pages = "114--121", year = "1978", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Book{Ciarlet:1978:FEM, author = "Philippe G. Ciarlet", title = "The Finite Element Method for Elliptic Problems", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "xvii + 530", year = "1978", ISBN = "0-444-85028-7", ISBN-13 = "978-0-444-85028-7", LCCN = "QA3 .T3 v.49", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Lions:1978:ISM, author = "Pierre Louis Lions", title = "Interpr{\'e}tation stochastique de la m{\'e}thode altern{\'e}e de {Schwarz}. ({French}) [{The} stochastic interpretation of the {Schwarz} alternating method]", journal = j-CRAS-PARIS, volume = "268", pages = "325--328", year = "1978", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", language = "French", } @Article{Glowinski:1979:NMF, author = "R. Glowinski and O. Pironneau", title = "Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional {Stokes} Problem", journal = j-SIAM-REVIEW, volume = "21", number = "2", pages = "167--212", month = apr, year = "1979", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1021028", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65N30 (76D99)", MRnumber = "80e:65101", bibdate = "Sat Mar 29 09:53:00 MDT 2014", bibsource = "http://epubs.siam.org/toc/siread/21/2; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "April 1979", xxtitle = "Numerical methods for the first biharmonic equation and the two-dimensional {Stokes} problem", xxtitle = "Numerical Methods for the 1st Biharmonic Equation and for the Two-Dimensional {Stokes} Problem", } @PhdThesis{Bjorstad:1980:NSB, author = "Petter E. Bj{\o}rstad", title = "Numerical solution of the biharmonic equation", school = "Stanford University, Stanford, CA", year = "1980", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Dinh:1980:ADD, author = "R. V. Dinh and R. Glowinski and J. Periaux", booktitle = "{Numerical methods for engineering, 1 (Paris, 1980)}", title = "Applications of domain decomposition techniques to the numerical solution of the {Navier--Stokes} equations", publisher = pub-DUNOD, address = pub-DUNOD:adr, pages = "383--404", year = "1980", MRclass = "65P05 (76D05)", MRnumber = "660683 (83g:65115)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @TechReport{Chin:1981:PCD, author = "R. C. Y. Chin", title = "Parallel computation of a domain decomposition method", type = "Technical Report", number = "CSRD 657", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "7", year = "1981", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, annote = "Supported in part by Lawrence Livermore National Laboratory. Supported in part by the National Science Foundation. Supported in part by the U.S. Department of Energy. Supported in part by the U.S. Air Force.", keywords = "Decomposition method; Parallel programming (Computer science)", } @InProceedings{Dryja:1981:ACM, author = "Maksymilian Dryja", editor = "G. I. Marchuk", booktitle = "Variational-Difference Methods in Mathematical Physics", title = "An Algorithm with a Capacitance Matrix for a Variational-Difference Scheme", publisher = pub-USSR-ACAD-SCI, address = pub-USSR-ACAD-SCI:adr, pages = "63--73", year = "1981", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Book{George:1981:CSL, author = "Alan George and Joseph Liu", title = "Computer Solution of Large Sparse Positive Definite Systems", publisher = pub-PRENTICE-HALL, address = pub-PRENTICE-HALL:adr, pages = "xii + 324", year = "1981", ISBN = "0-13-165274-5", ISBN-13 = "978-0-13-165274-3", LCCN = "QA188 .G46 1980", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Dryja:1982:CMM, author = "Maksymilian Dryja", title = "A capacitance matrix method for {Dirichlet} problem on polygon region", journal = j-NUM-MATH, volume = "39", pages = "51--64", year = "1982", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Book{Oden:1982:IMT, author = "J. T. Oden and J. N. Reddy", title = "An Introduction to the Mathematical Theory of Finite Elements", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xii + 429", year = "1982", ISBN = "0-471-65261-X", ISBN-13 = "978-0-471-65261-8", LCCN = "QA379 .O3 1976", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Book{Zavadskii:1982:MKR, author = "V. Yu. Zavadski{\u\i}", title = "Metod konechnykh raznostei v volnovykh zadachakh akustiki", publisher = "Nauka", address = "Moscow, USSR", pages = "272", year = "1982", MRclass = "76Q05 (65N05 76-08)", MRnumber = "701705 (84m:76083)", MRreviewer = "G. W. Hedstrom", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Dinh:1983:ASN, author = "Q. V. Dinh and B. Mantel and J. P{\'e}riaux and R. Glowinski", booktitle = "{Numerical methods (Caracas, 1982)}", title = "Approximate solution of the {Navier--Stokes} equations for incompressible viscous fluids. {Related} domain decomposition methods", volume = "1005", publisher = pub-SV, address = pub-SV:adr, pages = "46--86", year = "1983", MRclass = "76-08 (65N30 76D05)", MRnumber = "722815 (85d:76003)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Lecture Notes in Math.", acknowledgement = ack-nhfb, } @Article{Eisenstat:1983:VIM, author = "Stanley C. Eisenstat and Howard C. Elman and Martin H. Schultz", title = "Variational Iterative Methods for Nonsymmetric Systems of Linear Equations", journal = j-SIAM-J-NUMER-ANAL, volume = "20", number = "2", pages = "345--357", month = apr, year = "1983", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65F10", MRnumber = "84h:65030", MRreviewer = "Zden{\v{e}}k Dost{\'a}l", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, } @InProceedings{Feng:1983:FEM, author = "Kang Feng", booktitle = "Proceedings of the International Congress of Mathematicians", title = "Finite Element Method and Natural Boundary Reduction", publisher = "????", address = "Warsaw, Poland", year = "1983", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Glowinski:1983:DDM, author = "R. Glowinski and Q. V. Dinh and J. Periaux", title = "Domain decomposition methods for nonlinear problems in fluid dynamics", journal = j-COMPUT-METH-APPL-MECH-ENG, volume = "40", number = "1", pages = "27--109", year = "1983", CODEN = "CMMECC", DOI = "https://doi.org/10.1016/0045-7825(83)90045-2", ISSN = "0045-7825, 0374-2830", MRclass = "76-08 (65N30)", MRnumber = "718028 (84i:76007)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Computer Methods in Applied Mechanics and Engineering", } @InCollection{Kuznetsov:1983:IMU, author = "Yu. A. Kuznetsov and O. D. Trufanov", booktitle = "{Computational methods in linear algebra (Russian) (Moscow, 1982)}", title = "Iterative methods that utilize domain decomposition for solving the {Helmholtz} wave equation", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "151--174", year = "1983", MRclass = "65N99", MRnumber = "931813 (88k:65121)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Bjorstad:1984:SEP, author = "Petter E. Bj{\o}rstad and Olof B. Widlund", editor = "Garrett Birkhoff and Arthur Schoenstadt", booktitle = "Elliptic Problem Solvers {II}", title = "Solving elliptic problems on regions partitioned into substructures", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "245--256", year = "1984", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Dihn:1984:SEP, author = "Q. V. Dihn and Roland Glowinski and Jacques P{\'e}riaux", editor = "Garrett Birkhoff and Arthur Schoenstadt", booktitle = "{Elliptic problem solvers, II (Monterey, Calif., 1983)}", title = "Solving elliptic problems by domain decomposition methods with applications", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "395--426", year = "1984", MRclass = "65N99", MRnumber = "764246", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Dryja:1984:FEC, author = "Maksymilian Dryja", title = "A finite element-capacitance method for elliptic problems on regions partitioned into subregions", journal = j-NUM-MATH, volume = "44", pages = "153--168", year = "1984", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Book{Egorov:1984:CRG, author = "A. V. Egorov and E. P. Zhidkov and B. N. Khoromski{\u\i}", title = "Chislennoe reshenie granichnykh integralnykh uravnenii dlya operatora {Laplasa} na poverkhnosti kuba. {Chast} 2", publisher = "Joint Inst. Nuclear Res.", address = "Dubna, USSR", pages = "12", year = "1984", MRclass = "65N30 (65N45 65R20)", MRnumber = "777145 (86e:65152b)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "With an English summary", series = "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta Yadernykh Issledovani\u\i. Dubna} [Communications of the Joint Institute for Nuclear Research. Dubna], R11-84-596", acknowledgement = ack-nhfb, } @InProceedings{Golub:1984:UPI, author = "Gene Golub and D. Mayers", editor = "R. Glowinski and J. L. Lions", booktitle = "Computing Methods in Applied Sciences and Engineering, VI", title = "The Use of Preconditioning Over Irregular Regions", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "3--14", year = "1984", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Proceedings of a conference held in Versailles, France, December 12-16,1983.", } @InProceedings{Hackbusch:1984:LDC, author = "W. Hackbusch", booktitle = "{Defect correction methods (Oberwolfach, 1983)}", title = "Local defect correction method and domain decomposition techniques", crossref = "Bohmer:1984:DCM", volume = "5", publisher = pub-SV, address = pub-SV:adr, pages = "89--113", year = "1984", CODEN = "COSPDM", ISSN = "0344-8029", MRclass = "65N05 (65B05)", MRnumber = "782692 (86e:65146)", MRreviewer = "V. Pereyra", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Parallel/mgnet.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/computing.bib; MathSciNet database", series = j-COMPUTING-SUPPLEMENTUM, acknowledgement = ack-nhfb, } @Article{Lappalainen:1984:PCN, author = "V. Lappalainen and P. Neittaanm{\"a}ki and T. Tiihonen", title = "Parallel computing in numerical solution procedures for partial differential equations", journal = "Arkhimedes", volume = "36", number = "2", pages = "73--84", year = "1984", CODEN = "AKMDA5", ISSN = "0004-1920", MRclass = "65W05 (65N05)", MRnumber = "753363 (85f:65131)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Arkhimedes. Suomen Fyysikkoseura-Finlands Fysikerforening r.y. Suomen Matemaattinen Yhdistys-Finlands Matematiska F{\"o}rening r.y.", } @InProceedings{McCormick:1984:FAC, author = "Steve McCormick", editor = "K. B{\"{o}}hmer and H. J. Stetter", booktitle = "Defect Correction Methods: Theory and Applications", title = "Fast adaptive composite grid ({FAC}) methods", organization = "Computing Supplementum 5", publisher = pub-SPRINGER, address = pub-SPRINGER:adr, pages = "115--121", year = "1984", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Nepomnyaschikh:1984:AMB, author = "S. V. Nepomnyaschikh", title = "On the application of the method of bordering for elliptic mixed boundary value problems and on the difference norms of $ {W}^{1/2}_{2}({S}) $", number = "106", institution = inst-CC-SB-USSR-ACAD-SCI, address = inst-CC-SB-USSR-ACAD-SCI:adr, year = "1984", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "In Russian", } @InProceedings{Widlund:1984:IME, author = "Olof B. Widlund", editor = "R. Glowinski and J. L. Lions", booktitle = "Computing Methods in Applied Sciences and Engineering, VI", title = "Iterative Methods for Elliptic Problems on Regions Partitioned into Substructures and the Biharmonic {Dirichlet} Problem", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "33--45", year = "1984", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Agapov:1985:PAR, author = "V. K. Agapov and S. A. Finogenov", booktitle = "{Methods of numerical and applied mathematics (Russian)}", title = "On a problem on the approximate realization of a method for domain decomposition", publisher = "Akad. Nauk SSSR Vychisl. Tsentr", address = "Moscow, USSR", pages = "4--16", year = "1985", MRclass = "65N50", MRnumber = "938319", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @TechReport{Chan:1985:DDF, author = "Tony F. Chan and Diana C. Resasco", title = "A domain-decomposed fast {Poisson} solver on a rectangle", number = "{/DCS/RR-409}", institution = "Yale University", year = "1985", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Chan:1985:SPD, author = "Tony F. Chan and Diana C. Resasco", title = "A survey of preconditioners for domain decomposition", number = "{/DCS/RR-414}", institution = "Yale University", year = "1985", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Glowinski:1985:FEL, author = "R. Glowinski and J. P{\'e}riaux", booktitle = "{Numerical methods in fluid dynamics (Como, 1983)}", title = "Finite element, least squares and domain decomposition methods for the numerical solution of nonlinear problems in fluid dynamics", volume = "1127", publisher = pub-SV, address = pub-SV:adr, pages = "1--114", year = "1985", DOI = "https://doi.org/10.1007/BFb0074529", MRclass = "76-08 (65M60 65N30 76D05)", MRnumber = "802211 (87c:76008)", MRreviewer = "Wolfgang Moldenhauer", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Lecture Notes in Math.", acknowledgement = ack-nhfb, } @Book{Grisvard:1985:EPN, author = "P. Grisvard", title = "Elliptic problems in nonsmooth domains", publisher = pub-PITMAN, address = pub-PITMAN:adr, pages = "xiv + 410", year = "1985", ISBN = "0-273-08647-2", ISBN-13 = "978-0-273-08647-5", LCCN = "QA379 .G74 1985", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Gustafson:1985:PEE, author = "Karl Gustafson", title = "Principles of electricity and economics in fluid dynamics", journal = j-NUMER-METHODS-PARTIAL-DIFFER-EQU, volume = "1", number = "2", pages = "145--157", year = "1985", CODEN = "NMPDEB", DOI = "https://doi.org/10.1002/num.1690010205", ISSN = "0749-159X", MRclass = "76-08 (90C50)", MRnumber = "847023 (87k:76002)", MRreviewer = "Eugene L. Wachspress", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Methods for Partial Differential Equations. An International Journal", } @Book{Kuznetsov:1985:MVP, editor = "Yu. A. Kuznetsov", title = "Metody vychislitelnoi i prikladnoi matematiki", publisher = "Akad. Nauk SSSR Vychisl. Tsentr", address = "Moscow, USSR", pages = "173", year = "1985", MRclass = "00A10 (65-06)", MRnumber = "938318 (88k:00015)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Matsokin:1985:SAM, author = "A. M. Matsokin and S. V. Nepomnyaschikh", title = "A {Schwarz} alternating method in a subspace", journal = j-SOV-MATH, volume = "29", number = "10", pages = "78--84", year = "1985", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Book{Przemieniecki:1985:TMS, author = "J. S. Przemieniecki", title = "Theory of Matrix Structural Analysis", publisher = pub-DOVER, address = pub-DOVER:adr, pages = "468", year = "1985", ISBN = "0-486-64948-2", ISBN-13 = "978-0-486-64948-1", LCCN = "TA642.P77 1985", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Reprint of McGraw Hill, 1968", } @Article{Rodrigue:1985:IOI, author = "Garry Rodrigue", title = "Inner/outer iterative methods and numerical {Schwarz} algorithms", journal = j-PARALLEL-COMPUTING, volume = "2", number = "3", pages = "205--218", year = "1985", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/0167-8191(85)90003-1", ISSN = "0167-8191 (print), 1872-7336 (electronic)", MRclass = "65N20 (65W05)", MRnumber = "825967 (87c:65138)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Parallel Computing. Theory and Applications", } @InCollection{Trufanov:1985:MDD, author = "O. D. Trufanov", booktitle = "{Methods of numerical and applied mathematics (Russian)}", title = "A method of domain decomposition for the {Helmholtz} equation with a complex parameter", publisher = "Akad. Nauk SSSR Vychisl. Tsentr", address = "Moscow, USSR", pages = "136--143", year = "1985", MRclass = "65N50", MRnumber = "938330", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Yserentant:1985:HBF, author = "Harry Yserentant", title = "Hierarchical Bases of Finite-Element Spaces in the Discretization of Nonsymmetric Elliptic Boundary Value Problems", journal = j-COMPUTING, volume = "35", pages = "39--49", year = "1985", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Agoshkov:1986:DDM, author = "V. I. Agoshkov", booktitle = "{Computing methods in applied sciences and engineering, VII (Versailles, 1985)}", title = "Domain decomposition methods in problems of hydrodynamics", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "303--310", year = "1986", MRclass = "65P05 (65W05 76-08)", MRnumber = "905303 (88h:65226)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Book{Bespalov:1986:MRO, author = "A. N. Bespalov and Yu. A. Kuznetsov", title = "Metody razbieniya oblasti i fiktivnykh komponent dlya rascheta obemnykh rezonatorov", volume = "134", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "32", year = "1986", MRclass = "65N05 (39A70 47B39 78A50)", MRnumber = "937510 (90a:65216)", MRreviewer = "B. Belinskiy", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "{\cyr Preprint} [Preprint]", acknowledgement = ack-nhfb, } @Article{Bjorstad:1986:IMS, author = "Petter E. Bj{\o}rstad and Olof B. Widlund", title = "Iterative methods for the solution of elliptic problems on regions partitioned into substructures", journal = j-SIAM-J-NUMER-ANAL, volume = "23", number = "6", pages = "1097--1120", month = dec, year = "1986", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N20 (65F10 65N30)", MRnumber = "88h:65188", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, } @Article{Bramble:1986:CPE, author = "James H. Bramble and Joseph E. Pasciak and Alfred H. Schatz", title = "The construction of preconditioners for elliptic problems by substructuring. {I}", journal = j-MATH-COMPUT, volume = "47", number = "175", pages = "103--134", month = jul, year = "1986", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008084", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N30 (65F10 65W05)", MRnumber = "842125 (87m:65174)", MRreviewer = "Charles I. Goldstein", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database; MathSciNet database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", keywords = "algebraic system of equations; boundary-value problems; condition number analysis; convergence of numerical methods; differential; discrete systems; domain decomposition; finite element analysis; finite element methods; irregular geometry; iterative convergence rate; iterative methods; linear algebra; operators; parallel computing; parallel processing; partial differential equations; preconditioners; substructuring; symmetric elliptic boundary; value problems", kwds = "nla, preconditioning", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1986:IME, author = "James H. Bramble and Joseph E. Pasciak and Alfred H. Schatz", title = "An iterative method for elliptic problems on regions partitioned into substructures", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "361--369", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N20 (65F10 65N30)", MRnumber = "88a:65123", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", keywords = "analytic estimates; discretizations; elliptic problems; iterative method; iterative methods; matrix problems; preconditioners", treatment = "T Theoretical or Mathematical", } @InProceedings{Dryja:1986:MDD, author = "Maksymilian Dryja and Wlodek Proskurowski and Olof Widlund", editor = "Bl. Sendov", booktitle = "Optimal Algorithms", title = "A Method of Domain Decomposition with Crosspoints for Elliptic Finite Element Problems", publisher = pub-BULG-ACAD-SCI, address = pub-BULG-ACAD-SCI:adr, pages = "97--111", year = "1986", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Glowinski:1986:DMS, author = "Roland Glowinski and J. P{\'e}riaux", booktitle = "{Innovative numerical methods in engineering (Atlanta, Ga., 1986)}", title = "Decomposition methods in scientific computing: application to fluid calculations", publisher = "Comput. Mech.", address = "Southampton, UK", pages = "1--15", year = "1986", MRclass = "65L05 (65M05 65N05)", MRnumber = "902856 (88h:65136)", MRreviewer = "Luciano Biasini", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Kuznetsov:1986:FCD, author = "Yu. A. Kuznetsov", booktitle = "{Computing methods in applied sciences and engineering, VII (Versailles, 1985)}", title = "Fictitious component and domain decomposition methods for the solution of eigenvalue problems", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "155--172", year = "1986", MRclass = "65F15 (65F50)", MRnumber = "905293 (88k:65035)", MRreviewer = "Alan L. Andrew", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Kuznetsov:1986:IMS, author = "Yurij A. Kuznetsov", booktitle = "{Vistas in applied mathematics}", title = "Iterative methods in subspaces for eigenvalue problems", publisher = "Optimization Software", address = "New York, NY, USA", pages = "96--113", year = "1986", MRclass = "65F15", MRnumber = "859925 (88a:65043)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Transl. Ser. Math. Engrg.", acknowledgement = ack-nhfb, } @Book{Lebedev:1986:CM, author = "V. I. Lebedev", title = "Composition methods", publisher = pub-USSR-ACAD-SCI, address = pub-USSR-ACAD-SCI:adr, year = "1986", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "In Russian", } @Article{Marchuk:1986:FDD, author = "G. I. Marchuk and Yu. A. Kuznetsov and A. M. Matsokin", title = "Fictitious domain and domain decomposition methods", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "1", number = "1", pages = "3--61", year = "1986", ISSN = "0169-2895", MRclass = "65F10 (65N20)", MRnumber = "897996 (88d:65061)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", xxpages = "3--35", } @Article{McCormick:1986:FAC, author = "S. F. McCormick and J. W. Thomas", title = "The fast adaptive composite grid ({FAC}) method for elliptic equations", journal = j-MATH-COMPUT, volume = "46", number = "174", pages = "439--456", month = apr, year = "1986", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N20 (65F10 65N50)", MRnumber = "87e:65070", MRreviewer = "Harry Yserentant", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.bib; Parallel/Multi.grid.bib; Theory/o_ccd.bib", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); C4170 (Differential equations)", corpsource = "Dept. of Math., Colorado State Univ., Fort Collins, CO, USA", keywords = "boundary-value problems; coarse grid; differential boundary value problems; differential equations; elliptic; equations; fast adaptive grid method; parallel computation; solution; vector computation", treatment = "T Theoretical or Mathematical", } @Article{Miellou:1986:IMP, author = "J.-C. Miellou and G.-R. Perrin and P. Spiteri", title = "Inexpensive Method of Performance Evaluation for Subdomain Decomposition Parallel Algorithms of Three-Dimensional Elliptical Problems", journal = j-J-SYST-SOFTW, volume = "6", number = "1--2", pages = "169--173", month = may, year = "1986", CODEN = "JSSODM", ISSN = "0164-1212 (print), 1873-1228 (electronic)", bibdate = "Wed Dec 16 15:40:53 MST 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/jsystsoftw.bib; http://www.sciencedirect.com/science/journal/01641212", acknowledgement = ack-nhfb, affiliationaddress = "Univ de Franche-Comte, Besancon, Fr", classification = "722; 723; 921", conference = "Perform 84, Modell and Perform Eval of", journalabr = "J Syst Software", keywords = "Algorithms; computer programming; computer systems, digital --- Parallel Processing; mathematical software; mathematical techniques --- Iterative Methods; parallel algorithms; performance evaluation; subdomain decomposition; three-dimensional elliptical problems", meetingdate = "1986", meetingdate2 = "84", } @Article{Miki:1986:NSP, author = "Kazuyoshi Miki and Toshiyuki Takagi", title = "Numerical solution of {Poisson}'s equation with arbitrarily shaped boundaries using a domain decomposition and overlapping technique", journal = j-J-COMPUT-PHYS, volume = "67", number = "2", pages = "263--278", month = dec, year = "1986", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/0021-9991(86)90262-7", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65N30 (78-08)", MRnumber = "867774 (87m:65188)", bibdate = "Sun Jan 1 15:59:33 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib; MathSciNet database", URL = "http://www.sciencedirect.com/science/article/pii/0021999186902627", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", } @PhdThesis{Nepomnyaschikh:1986:DDS, author = "Sergey V. Nepomnyaschikh", title = "Domain Decomposition and Schwarz Methods in a Subspace for the Approximate Solution of Elliptic Boundary Value Problems", school = inst-CC-SB-USSR-ACAD-SCI, address = inst-CC-SB-USSR-ACAD-SCI:adr, year = "1986", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Saad:1986:GGM, author = "Y. Saad and M. H. Schultz", title = "{GMRES}: {A} generalized minimum residual algorithm for solving nonsymmetric linear systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "7", pages = "856--869", year = "1986", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Vassilevski:1986:MMS, author = "Panayot Vassilevski", booktitle = "{Multigrid methods, II (Cologne, 1985)}", title = "Multigrid method in subspace and domain partitioning in the discrete solution of elliptic problems", volume = "1228", publisher = pub-SV, address = pub-SV:adr, pages = "301--314", year = "1986", DOI = "https://doi.org/10.1007/BFb0072654", MRclass = "65N20", MRnumber = "896068 (88g:65102)", MRreviewer = "Dietrich Braess", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Lecture Notes in Math.", acknowledgement = ack-nhfb, } @Article{Yserentant:1986:HBG, author = "Harry Yserentant", title = "Hierarchical Bases Give Conjugate Gradient Type Methods a Multigrid Speed of Convergence", journal = j-APP-MATH-COMP, volume = "19", pages = "347--358", year = "1986", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Yserentant:1986:MLSa, author = "Harry Yserentant", title = "On the Multi-Level Splitting of Finite Element Spaces", journal = j-NUM-MATH, volume = "49", pages = "379--412", year = "1986", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Yserentant:1986:MLSb, author = "Harry Yserentant", title = "On the Multi-Level Splitting of Finite Element Spaces for Indefinite Elliptic Boundary Value Problems", journal = j-SIAM-J-NUMER-ANAL, volume = "23", number = "3", pages = "581--595", month = jun, year = "1986", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N30 (65F10 65N20)", MRnumber = "87m:65199", MRreviewer = "Stephen W. Brady", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, } @Article{Agoshkov:1987:ROD, author = "V. I. Agoshkov", title = "Reflection operators and domain decomposition methods in transport theory problems", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "2", number = "5", pages = "325--347", year = "1987", ISSN = "0169-2895", MRclass = "65R20 (47B99 65J15 82A70)", MRnumber = "915327 (88j:65288)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Translated from the Russian", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @InCollection{Bespalov:1987:FEM, author = "A. N. Bespalov", booktitle = "{Numerical methods and mathematical modeling (Russian)}", title = "The finite element method for a problem on the natural oscillations of a three-dimensional resonator", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "82--103", year = "1987", MRclass = "78-08 (65N30)", MRnumber = "1006886 (90j:78002)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Bespalov:1987:RCC, author = "A. N. Bespalov and Yu. A. Kuznetsov", title = "{RF} cavity computations by the domain decomposition and fictitious components methods", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "2", number = "4", pages = "259--278", year = "1987", ISSN = "0169-2895", MRclass = "78A50 (65N25 65N30 78-08)", MRnumber = "907854 (89a:78010)", MRreviewer = "Lubor Malina", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Translated from the Russian", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @Article{Bramble:1987:CPE, author = "James H. Bramble and Joseph E. Pasciak and Alfred H. Schatz", title = "The construction of preconditioners for elliptic problems by substructuring, {II}", journal = j-MATH-COMPUT, volume = "49", number = "179", pages = "1--16", month = jul, year = "1987", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008246", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N30 (65F10)", MRnumber = "890250 (88j:65248)", MRreviewer = "Charles I. Goldstein", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database; MathSciNet database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib; Theory/Matrix.bib", acknowledgement = ack-nhfb, classcodes = "C4130 (Interpolation and function approximation); C4180 (Integral equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", keywords = "algorithms; approximation; approximation theory; boundary-value problems; condition number; decomposition techniques; discrete systems; domain; elliptic boundary value problems; environments; mesh size; parallel computing; preconditioned system; singularly perturbed problems; subdomain size; substructuring; three-dimensions problems", kwds = "nla, preconditioning", treatment = "T Theoretical or Mathematical", } @TechReport{Bramble:1987:PTI, author = "James H. Bramble and Joseph E. Pasciak", title = "A Preconditioning Technique for Indefinite Systems Resulting from Mixed Approximations of Elliptic Problems", institution = "Cornell University", year = "1987", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Chan:1987:ADD, author = "Tony F. Chan and Diana C. Resasco", editor = "R. Vichnevetsky and R. Stepleman", booktitle = "Advances in Computer Methods for Partial Differential Equations", title = "Analysis of Domain Decomposition Preconditioners on Irregular Regions", publisher = pub-IMACS, address = pub-IMACS:adr, year = "1987", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Chan:1987:APD, author = "Tony F. Chan", title = "Analysis of Preconditioners for Domain Decomposition", journal = j-SIAM-J-NUMER-ANAL, volume = "24", number = "2", pages = "382--390", month = apr, year = "1987", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0724029", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65F10 (65N20)", MRnumber = "881372 (88e:65033)", MRreviewer = "Harry Yserentant", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", } @TechReport{Dryja:1987:AVS, author = "Maksymilian Dryja and Olof B. Widlund", title = "An Additive Variant of the {Schwarz} Alternating Method for the Case of Many Subregions", number = "339, also Ultracomputer Note 131", institution = "Department of Computer Science, Courant Institute", year = "1987", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Gear:1987:SCP, author = "C. W. Gear and R. G. Voigt", title = "{Second Conference on Parallel Processing for Scientific Computing}", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "S139--S287", month = mar, year = "1987", CODEN = "SIJCD4", ISSN = "0196-5204", bibdate = "Sat May 03 12:12:00 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C1140Z (Other and miscellaneous); C4100 (Numerical analysis)", conflocation = "Norfolk, VA, USA; 18-21 Nov. 1985", conftitle = "Second Conference on Parallel Processing for Scientific Computing", keywords = "domain decomposition for elliptic PDEs; hyperbolic conservation-law systems; hypercube algorithms; numerical methods; parallel algorithms; performance measurements; statistical analysis; symmetric eigenvalue problem; symmetric tridiagonal eigenvalue problem", sponsororg = "SIAM; NSF; Air Force Office Sci. Res", treatment = "T Theoretical or Mathematical", } @TechReport{Glowinski:1987:DDM, author = "Roland Glowinski and Mary F. Wheeler", title = "Domain decomposition and mixed finite element methods for elliptic problems", number = "87-11", institution = "Rice University", year = "1987", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Glowinski:1987:NMN, author = "Roland Glowinski and Jacques F. P{\'e}riaux", booktitle = "{Supercomputing}", title = "Numerical methods for nonlinear problem in fluid dynamics", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "381--479", year = "1987", MRclass = "65P05 (76-08)", MRnumber = "1026941 (90k:65187)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Gonzalez:1987:DDE, author = "Ruth Gonzalez and Mary Fanett Wheeler", title = "Domain decomposition for elliptic partial differential equations with {Neumann} boundary conditions", journal = j-PARALLEL-COMPUTING, volume = "5", number = "1--2", pages = "257--263", month = jul, year = "1987", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/0167-8191(87)90022-6", ISSN = "0167-8191 (print), 1872-7336 (electronic)", MRclass = "65N20 (65W05)", MRnumber = "898046 (88d:65148)", bibdate = "Mon Apr 14 12:07:40 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib; MathSciNet database", note = "Proceedings of the international conference on vector and parallel computing---issues in applied research and development (Loen, 1986).", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations); C5440 (Multiprocessor systems and techniques)", conflocation = "Loen, Norway; 2-6 June 1986", conftitle = "International Conference on Vector and Parallel Computing --- Issues in Applied Research and Development", corpsource = "Exxon Production Res. Co., Houston, TX, USA", keywords = "conditions; dimensional problems; domain decomposition; element discretizations; elliptic partial differential equations; finite; finite difference discretization; large two-; Neumann boundary; parallel processing; partial differential equations; preconditioned conjugate gradient method; preconditioner", sponsororg = "IBM Norway; R. Norwegian Council Sci. and Ind. Res.; AMDAHL; FPS; CRAY", treatment = "P Practical; T Theoretical or Mathematical", } @TechReport{Hart:1987:AMA, author = "Leslie Hart and Steve McCormick", title = "Asynchronous Multilevel Adaptive Methods for Solving Partial Differential Equations on Multiprocessors: Computational Analysis", institution = "Comp. Math. Group, Univ. of Colorado at Denver", year = "1987", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Submitted to Parallel Computing", } @Book{Johnson:1987:NSP, author = "Claes Johnson", title = "Numerical Solutions of Partial Differential Equations by the Finite Element Method", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "278", year = "1987", ISBN = "0-521-34514-6", ISBN-13 = "978-0-521-34514-9", LCCN = "TA347.F5 J621 1987", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Kang:1987:PAD, author = "Li Shan Kang", booktitle = "{Numerical methods for partial differential equations (Shanghai, 1987)}", title = "Parallel algorithms and domain decomposition", volume = "1297", publisher = pub-SV, address = pub-SV:adr, pages = "61--75", year = "1987", DOI = "https://doi.org/10.1007/BFb0078540", MRclass = "65N20 (65W05)", MRnumber = "929038 (89f:65113)", MRreviewer = "Dirk Roose", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Lecture Notes in Math.", acknowledgement = ack-nhfb, } @Article{Keyes:1987:CDD, author = "David E. Keyes and William D. Gropp", title = "A comparison of domain decomposition techniques for elliptic partial differential equations and their parallel implementation", journal = j-SIAM-J-SCI-STAT-COMP, volume = "8", number = "2", pages = "S166--S202", year = "1987", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0908020", ISSN = "0196-5204", MRclass = "65N20 (65F10 65W05)", MRnumber = "879402 (88g:65101)", MRreviewer = "Michel Cosnard", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Parallel processing for scientific computing (Norfolk, Va., 1985)", acknowledgement = ack-nhfb, fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", } @Article{Kuznetsov:1987:DDM, author = "Yu. A. Kuznetsov and O. D. Trufanov", title = "Domain decomposition methods for the wave {Helmholtz} equation", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "2", number = "2", pages = "113--136", year = "1987", ISSN = "0169-2895", MRclass = "65N30 (35J05)", MRnumber = "900367 (88i:65133)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @TechReport{Lee:1987:FPS, author = "Daeshik Lee and E. J. (Efstratios J.) Gallopoulos", title = "Fast {{Poisson}} solver on irregular regions by boundary integral-based domain decomposition methods", type = "Technical Report", number = "CSRD 687", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "4", year = "1987", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, annote = "[3-4].", keywords = "Poisson's equation", } @InProceedings{Mastin:1987:IFD, author = "C. Wayne Mastin", booktitle = "{Proceedings of the 2nd international conference on computational and applied mathematics (Leuven, 1986)}", title = "Implicit finite difference methods on composite grids", volume = "20 (special issue)", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "317--323", year = "1987", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0377-0427(87)90148-8", ISSN = "0377-0427 (print), 1879-1778 (electronic)", MRclass = "65N50", MRnumber = "920401 (89b:65292)", MRreviewer = "Randall J. LeVeque", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = j-J-COMPUT-APPL-MATH, acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", } @Article{Quarteroni:1987:DDT, author = "A. Quarteroni", title = "Domain decomposition techniques using spectral methods", journal = j-CALCOLO, volume = "24", number = "2", pages = "141--177", year = "1987", CODEN = "CDABAE", DOI = "https://doi.org/10.1007/BF02575820", ISSN = "0008-0624 (print), 1126-5434 (electronic)", MRclass = "65M50 (65N50)", MRnumber = "945775 (89h:65149)", MRreviewer = "Ji{\v{r}}{\'\i} H{\v{r}}eb{\'\i}{\v{c}}ek", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory of Computation", } @Article{Takagi:1987:NAE, author = "Toshiyuki Takagi and Kazuyoshi Miki and Hiroki Sano", title = "New Approach to Electron Beam Analysis Using a Domain Decomposition and Overlapping Method in a Three-Dimensional Boundary-Fitted Coordinate System", journal = j-APPL-NUM-MATH, volume = "3", number = "4", pages = "305--316", month = aug, year = "1987", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", bibdate = "Sat Feb 8 10:10:32 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", acknowledgement = ack-nhfb, classification = "723; 921; 932", journalabr = "Appl Numer Math", keywords = "computer software; domain decomposition; electron beams; mathematical transformations; overlapping method", } @InProceedings{White:1987:MPI, author = "R. E. White", booktitle = "{Proceedings of the first world congress on computational mechanics (Austin, Tex., 1986)}", title = "Multisplittings and parallel iterative methods", volume = "64(1--3)", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "567--577", year = "1987", CODEN = "CMMECC", DOI = "https://doi.org/10.1016/0045-7825(87)90057-0", ISSN = "0045-7825, 0374-2830", MRclass = "65W05 (65N20)", MRnumber = "912527 (88j:65315)", MRreviewer = "Mari{\'a}n Vajter{\v{s}}ic", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = j-COMPUT-METH-APPL-MECH-ENG, acknowledgement = ack-nhfb, fjournal = "Computer Methods in Applied Mechanics and Engineering", } @InProceedings{Widlund:1987:ETF, author = "Olof B. Widlund", editor = "Wolfgang Hackbusch and Kristian Witsch", booktitle = "Numerical Techniques in Continuum Mechanics", title = "An Extension Theorem for Finite Element Spaces with Three Applications", volume = "16", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "110--122", year = "1987", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Proceedings of the Second GAMM-Seminar, Kiel, January, 1986", series = "Notes on Numerical Fluid Mechanics", } @Article{Zanolli:1987:DDA, author = "P. Zanolli", title = "Domain decomposition algorithms for spectral methods", journal = j-CALCOLO, volume = "24", number = "3--4", pages = "201--240", year = "1987", CODEN = "CDABAE", DOI = "https://doi.org/10.1007/BF02679107", ISSN = "0008-0624 (print), 1126-5434 (electronic)", MRclass = "65N55", MRnumber = "1004518 (91d:65193)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory of Computation", } @Article{Zhao:1987:MTF, author = "He Sheng Zhao", title = "The {Marcinkiewicz} theorem for {Fourier} series on compact {Lie} groups", journal = "Chinese Ann. Math. Ser. A", volume = "8", number = "6", pages = "693--702", year = "1987", ISSN = "1000-8314", MRclass = "43A77", MRnumber = "944428 (89f:43011)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "An English summary appears in Chinese Ann. Math. Ser. B {{\bf{9}}} (1988), no. 1, 148--149", acknowledgement = ack-nhfb, fjournal = "Chinese Annals of Mathematics. Series A. Shuxue Niankan. A Ji", } @Article{Agapov:1988:SVD, author = "V. K. Agapov and Yu. A. Kuznetsov", title = "On some versions of the domain decomposition method", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "3", number = "4", pages = "245--265", year = "1988", ISSN = "0169-2895", MRclass = "65N30 (65F99)", MRnumber = "953946 (89h:65170)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Translated from the Russian", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @InCollection{Agoshkov:1988:NRM, author = "V. I. Agoshkov and S. N. Buleev", booktitle = "{Conjugate equations and perturbation algorithms (Russian)}", title = "Numerical realization of the method of decomposition of domains", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "3--27", year = "1988", MRclass = "65N55", MRnumber = "1035713 (91k:65151)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Agoshkov:1988:PSO, author = "V. I. Agoshkov", editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and Jacques P{\'e}riaux", booktitle = "{First International Symposium on Domain Decomposition Methods for Partial Differential Equations (Paris, 1987)}", title = "{Poincar{\'e}--Steklov} Operators and Domain Decomposition Methods in Finite Dimensional Spaces", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "73--112", year = "1988", MRclass = "65N99 (65F10 65N30)", MRnumber = "972513 (90d:65210)", MRreviewer = "Robert Beauwens", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Book{Agoshkov:1988:SUA, editor = "V. I. Agoshkov and V. P. Shutyaev", title = "Sopryazhennye uravneniya i algoritmy vozmushchenii", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "168", year = "1988", MRclass = "00A10 (65-06)", MRnumber = "1035712 (90h:00002)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Axelsson:1988:BPD, author = "O. Axelsson and B. Polman", title = "Block preconditioning and domain decomposition methods. {II}", journal = j-J-COMPUT-APPL-MATH, volume = "24", number = "1--2", pages = "55--72", year = "1988", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0377-0427(88)90343-3", ISSN = "0377-0427 (print), 1879-1778 (electronic)", MRclass = "65N50 (65F30 65W05)", MRnumber = "976603 (90m:65207)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Iterative methods for the solution of linear systems", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", } @Article{Bank:1988:HBM, author = "Randolph E. Bank and Todd F. Dupont and Harry Yserentant", title = "The Hierarchical Basis Multigrid Method", journal = j-NUM-MATH, volume = "52", pages = "427--458", year = "1988", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Bjorstad:1988:IMS, author = "Petter E. Bj{\o}rstad and Anders Hvidsten", editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and Jacques P{\'e}riaux", booktitle = "Domain Decomposition Methods for Partial Differential Equations", title = "Iterative Methods for Substructured Elasticity Problems in Structural Analysis", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1988", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Boulbrachene:1988:MFE, author = "M. Boulbrachene and Ph. Cortey-Dumont and J.-C. Miellou", booktitle = "{First International Symposium on Domain Decomposition Methods for Partial Differential Equations (Paris, 1987)}", title = "Mixing finite elements and finite differences in a subdomain method", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "198--216", year = "1988", MRclass = "65N30", MRnumber = "972517 (90a:65232)", MRreviewer = "R. S. Naoum", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Bourgat:1988:FVA, author = "Jean-Fran{\c{c}}ois Bourgat and Roland Glowinski and Patrick Le Tallec", title = "Formulation variationnelle et algorithme de d{\'e}composition de domaines pour les probl{\`e}mes elliptiques. ({French}) [{Variational} formulation and algorithm for the domain decomposition in elliptic problems]", journal = j-C-R-ACAD-SCI-PARIS-SER-I-MATH, volume = "306", number = "13", pages = "569--572", year = "1988", CODEN = "CASMEI", ISSN = "0249-6291", MRclass = "65N50", MRnumber = "941627 (89b:65290)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus des S{\'e}ances de l'Acad{\'e}mie des Sciences. S{\'e}rie I. Math{\'e}matique", language = "French", } @Article{Bramble:1988:CPE, author = "James H. Bramble and Joseph E. Pasciak and Alfred H. Schatz", title = "The construction of preconditioners for elliptic problems by substructuring. {III}", journal = j-MATH-COMPUT, volume = "51", number = "184", pages = "415--430", month = oct, year = "1988", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2008756", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N30 (65F10)", MRnumber = "935071 (89e:65118)", MRreviewer = "Charles I. Goldstein", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database; MathSciNet database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classcodes = "C4180 (Integral equations); C4170 (Differential equations); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", fjournal = "Mathematics of Computation", keywords = "boundary interface conditions; boundary-value problems; Chebyshev approximation; converge; convergence of numerical methods; discrete; elliptic boundary value; elliptic problems; equations; incomplete Chebyshev; iteration; iterative algorithms; iterative methods; number of unknowns; numerical approximation; preconditioners; problems; substructuring; systems", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1988:PTE, author = "James H. Bramble and Richard E. Ewing and Joseph E. Pasciak and Alfred H. Schatz", title = "A preconditioning technique for the efficient solution of problems with local grid refinement", journal = j-COMP-METH-APP-MECH-ENG, volume = "67", pages = "149--159", year = "1988", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Brezzi:1988:SMF, author = "F. Brezzi", booktitle = "{Finite elements (Hampton, VA, 1986)}", title = "A survey of mixed finite element methods", publisher = pub-SV, address = pub-SV:adr, pages = "34--49", year = "1988", MRclass = "65N30", MRnumber = "964479 (89m:65099)", MRreviewer = "I. Christie", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "ICASE/NASA LaRC Ser.", acknowledgement = ack-nhfb, } @InCollection{Buleev:1988:MMD, author = "S. N. Buleev", booktitle = "{Conjugate equations and perturbation algorithms (Russian)}", title = "A modification of the method of domain decomposition", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "28--37", year = "1988", MRclass = "65N55 (76M25 76R50)", MRnumber = "1035714 (91d:65185)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Canuto:1988:SAS, author = "C. Canuto and D. Funaro", title = "The {Schwarz} Algorithm for Spectral Methods", journal = j-SIAM-J-NUMER-ANAL, volume = "25", number = "1", pages = "24--40", month = feb, year = "1988", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N35 (65N30)", MRnumber = "89b:65286", MRreviewer = "Viorel Arnautu", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, } @TechReport{Chan:1988:ADD, author = "Tony F. Chan and Diana C. Resasco", title = "An analysis of domain decomposition preconditioners on {L}-shaped and {C}-shaped regions", number = "{/DCS/RR-534}", institution = "Yale University", year = "1988", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Chan:1988:DDA, author = "T. F. Chan", title = "Domain Decomposition Algorithms and Computational Fluid Dynamics", journal = j-IJSA, volume = "2", number = "4", pages = "72--83", month = "Winter", year = "1988", CODEN = "IJSAE9", ISSN = "0890-2720", bibdate = "Tue Feb 18 10:40:00 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/ijsa.bib; UnCover library database", acknowledgement = ack-nhfb, affiliation = "California Univ., Los Angeles, CA, USA", } @TechReport{Chan:1988:DDI, author = "Tony F. Chan and Thomas Y. Hou", title = "Domain Decomposition Interface Preconditions for General Second Order Elliptic Problems", number = "CAM 88-16", institution = "Department of Mathematics, UCLA", year = "1988", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Chan:1988:SSO, author = "Tony F. Chan and Danny Goovaerts", title = "{Schwarz} = {Schur}: Overlapping versus Nonoverlapping Domain Decomposition", number = "CAM 88-21", institution = "Department of Mathematics, UCLA", year = "1988", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Chen:1988:SDD, author = "Hsin-Chu Chen", title = "The {SAS} domain decomposition method for structural analysis", type = "Technical Report", number = "CSRD 754; UILU-ENG-88-8003", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "vi + 112", year = "1988", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, annote = "Supported in part by the National Science Foundation. Supported in part by the U.S. Department of Energy. Supported in part by the U.S. Air Force Office of Scientific Research.", keywords = "Decomposition method; Structural analysis (Engineering) --- Matrix methods; Symmetric domains", } @InCollection{Dinh:1988:CVI, author = "Q. V. Dinh and R. Glowinski and J. P{\'e}riaux and G. Terrasson", booktitle = "{First International Symposium on Domain Decomposition Methods for Partial Differential Equations (Paris, 1987)}", title = "On the coupling of viscous and inviscid models for incompressible fluid flows via domain decomposition", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "350--369", year = "1988", MRclass = "76-08 (76D05)", MRnumber = "972518 (90a:76007)", MRreviewer = "Michel Cotsaftis", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Dryja:1988:MDD, author = "Maksymilian Dryja", editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and Jacques P{\'e}riaux", booktitle = "{First International Symposium on Domain Decomposition Methods for Partial Differential Equations (Paris, 1987)}", title = "A Method of Domain Decomposition for $3$-{D} Finite Element Problems", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "43--61", year = "1988", MRclass = "65N30 (65F10)", MRnumber = "972511 (90b:65200)", MRreviewer = "S. F. McCormick", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, xxtitle = "A method of domain decomposition for three-dimensional finite element elliptic problems", } @TechReport{Ewing:1988:LRT, author = "R. E. Ewing and R. D. Lazarov and P. S. Vassilevski", title = "Local refinement techniques for elliptic problems on cell-centered grids", institution = "University of Wyoming", year = "1988", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Funaro:1988:DDM, author = "Daniele Funaro", title = "Domain decomposition methods for pseudospectral approximations. {I}. {Second} order equations in one dimension", journal = j-NUM-MATH, volume = "52", number = "3", pages = "329--344", month = mar, year = "1988", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01398883", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65L10", MRnumber = "929576 (89b:65186)", MRreviewer = "Erich Bohl", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib; MathSciNet database", acknowledgement = ack-nhfb, classification = "C1320 (Stability); C4130 (Interpolation and function approximation)", corpsource = "Pavia Univ., Italy", fjournal = "Numerische Mathematik", keywords = "boundary-value problems; Chebyshev approximation; Chebyshev nodes; convergence; convergence of numerical methods; domain decomposition methods; patching conditions; pseudo spectral approximations; second order boundary value problems; stability", treatment = "T Theoretical or Mathematical", } @Article{Funaro:1988:IPI, author = "Daniele Funaro and Alfio Quarteroni and Paola Zanolli", title = "An iterative procedure with interface relaxation for domain decomposition methods", journal = j-SIAM-J-NUMER-ANAL, volume = "25", number = "6", pages = "1213--1236", month = dec, year = "1988", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0725069", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N30 (65F10)", MRnumber = "972451 (90a:65236)", MRreviewer = "I. Norman Katz", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", } @TechReport{Gallopoulos:1988:BID, author = "E. J. (Efstratios J.) Gallopoulos and Daeshik Lee", title = "Boundary integral domain decomposition on hierarchical memory multiprocessors", type = "Technical Report", number = "CSRD 752", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "488--499", year = "1988", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, annote = "Supported in part by the National Science Foundation. Supported in part by the U.S. Department of Energy. Supported in part by the Air Force Office of Scientific Research.", keywords = "Boundary element methods; Decomposition method; Harmonic functions; Multiprocessors", } @Article{Gianni:1988:GBP, author = "Patrizia Gianni and Barry Trager and Gail Zacharias", title = "{Gr{\"o}bner bases and primary decomposition of polynomial ideals}", journal = j-J-SYMBOLIC-COMP, volume = "6", number = "2--3", pages = "149--168 (or 149--167??)", month = oct # "--" # dec, year = "1988", CODEN = "JSYCEH", ISSN = "0747-7171 (print), 1095-855X (electronic)", MRclass = "68Q40 (13-04 13A17)", MRnumber = "90f:68091", MRreviewer = "Daniel Lazard", bibdate = "Sat May 10 15:54:09 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/jsymcomp.bib", note = "Computational aspects of commutative algebra.", acknowledgement = ack-nhfb, classcodes = "C7310 (Mathematics); C4130 (Interpolation and function approximation); C6130 (Data handling techniques)", corpsource = "Pisa Univ., Italy", keywords = "polynomials; symbol manipulation; Gr{\"o}bner bases; primary decomposition; polynomial ideals; algorithm; primary decomposition; factorially closed; algorithmic principal ideal domain; constructive PID; primary decomposition", treatment = "T Theoretical or Mathematical", } @InProceedings{Glowinski:1988:DDMb, author = "Roland Glowinski and Mary Fanett Wheeler", editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and Jacques P{\'e}riaux", booktitle = "{First International Symposium on Domain Decomposition Methods for Partial Differential Equations (Paris, 1987)}", title = "Domain Decomposition and Mixed Finite Element Methods for Elliptic Problems", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "144--172", year = "1988", MRclass = "65N30", MRnumber = "972516 (90a:65237)", MRreviewer = "K. Najzar", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Gropp:1988:CPI, author = "William D. Gropp and David E. Keyes", title = "Complexity of parallel implementation of domain decomposition techniques for elliptic partial differential equations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "9", number = "2", pages = "312--326", month = mar, year = "1988", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0909020", ISSN = "0196-5204", MRclass = "65N20 (65F10 65W05 68Q25)", MRnumber = "930048 (88m:65167)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib; MathSciNet database", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4240 (Programming and algorithm theory); C5220 (Computer architecture)", corpsource = "Res. Center for Sci. Comput., Yale Univ., New Haven, CT, USA", fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", keywords = "communication startups; complexity; computational complexity; domain decomposition; elliptic partial differential equations; message-passing parallel computers; parallel algorithms; parallel architectures; partial differential equations; preconditioned conjugate gradient", treatment = "T Theoretical or Mathematical", } @Article{Hagstrom:1988:NED, author = "Thomas Hagstrom and R. P. Tewarson and Aron Jazcilevich", title = "Numerical experiments on a domain decomposition algorithm for nonlinear elliptic boundary value problems", journal = j-APPL-MATH-LETT, volume = "1", number = "3", pages = "299--302", year = "1988", CODEN = "AMLEEL", DOI = "https://doi.org/10.1016/0893-9659(88)90097-3", ISSN = "0893-9659 (print), 1873-5452 (electronic)", MRclass = "65N99", MRnumber = "963704", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics Letters. An International Journal of Rapid Publication", } @InProceedings{Hughes:1988:FVE, author = "Thomas R. Hughes and Robert M. Ferencz", editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and Jacques P{\'e}riaux", booktitle = "First International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Fully Vectorized {EBE} Preconditioners for Nonlinear Solid Mechanics: Applications to Large-Scale Three-Dimensional Continuum, Shell and Contact/Impact Problems", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1988", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Book{Khoromskii:1988:KZMa, author = "B. N. Khoromski{\u\i}", title = "Kraevye zadachi magnitostatiki v nepolno-nelineinoi postanovke i metody ikh resheniya. {Issledovanie} nelineinoi problemy", publisher = "Joint Inst. Nuclear Res.", address = "Dubna, USSR", pages = "23", year = "1988", MRclass = "65P05 (35Q20 78-04 78A30)", MRnumber = "985755 (90a:65261)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "With an English summary", series = "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta Yadernykh Issledovani\u\i. Dubna} [Communications of the Joint Institute for Nuclear Research. Dubna], R11-88-480", acknowledgement = ack-nhfb, } @Book{Khoromskii:1988:KZMb, author = "B. N. Khoromski{\u\i}", title = "Kraevye zadachi magnitostatiki v nepolno-nelineinoi postanovke i metody ikh resheniya. {Postroenie} pereobuslavlivatelei", publisher = "Joint Inst. Nuclear Res.", address = "Dubna, USSR", pages = "32", year = "1988", MRclass = "65P05 (35Q20 78-04 78A30)", MRnumber = "985756 (90a:65262)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "With an English summary", series = "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta Yadernykh Issledovani\u\i. Dubna} [Communications of the Joint Institute for Nuclear Research. Dubna], R11-88-784", acknowledgement = ack-nhfb, } @Book{Knyazev:1988:MIM, author = "A. V. Knyazev and A. L. Skorokhodov", title = "Modifitsirovannye iteratsionnye metody v podprostranstve dlya resheniya sistem uravnenii so znakoneopredelennymi matritsami i spektralnykh zadach", volume = "205", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "48", year = "1988", MRclass = "65F10 (65F15)", MRnumber = "994806 (91a:65083)", MRreviewer = "Zden{\v{e}}k Dost{\'a}l", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "{\cyr Preprint} [Preprint]", acknowledgement = ack-nhfb, } @Article{Kuznetsov:1988:DDM, author = "Yu. A. Kuznetsov and A. V. Lapin", title = "Domain decomposition method to realize an implicit difference scheme for the one-phase {Stefan} problem", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "3", number = "6", pages = "487--504", year = "1988", ISSN = "0169-2895", MRclass = "65N99 (65N50)", MRnumber = "979716 (90h:65202)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Translated from the Russian", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @InCollection{Kuznetsov:1988:MMD, author = "Yu. A. Kuznetsov", booktitle = "{Numerical analysis and mathematical modeling (Russian)}", title = "Multilevel methods for domain decomposition", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "109--126", year = "1988", MRclass = "65N55", MRnumber = "1063295 (91h:65192)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Kvarteroni:1988:DDM, author = "Alfio Kvarteroni", booktitle = "{Numerical analysis and mathematical modeling (Russian)}", title = "A domain decomposition method for the numerical solution of partial differential equations", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "79--92", year = "1988", MRclass = "65N55", MRnumber = "1063292 (91e:65139)", MRreviewer = "G. Siganevich", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Lai:1988:FEU, author = "C. H. Lai and H. M. Liddell", title = "Finite elements using long vectors of the {DAP}", journal = j-PARALLEL-COMPUTING, volume = "8", number = "1--3", pages = "351--361", month = oct, year = "1988", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", bibdate = "Mon Apr 14 11:08:33 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", conflocation = "Liverpool, UK; 25-28 Aug. 1987", conftitle = "International Conference on Vector and Parallel Processors in Computational Science III", corpsource = "Dept. of Comput. Sci. and Stat., Queen Mary Coll., London Univ., UK", keywords = "1-step point Jacobi preconditioner; boundary conditions; conjugate gradient method; domain decomposition; equations; finite element analysis; finite element equations; finite element method; global matrix assembly; iteration; iterative methods; Jacobi preconditioner; long vector mode; long vectors; m-step multi-colour preconditioner; m-step point; matrix algebra; methods; multinodes; parallel; partial differential; partial differential equations; Perq scientific workstation; sliced mapping technique", sponsororg = "US Army Eur. Res. Office", treatment = "T Theoretical or Mathematical", } @InCollection{Lazarov:1988:SEP, author = "R. D. Lazarov and P. S. Vassilevski and S. D. Margenov", booktitle = "{Supercomputing (Athens, 1987)}", title = "Solving elliptic problems by the domain decomposition method using preconditioning matrices derived by multilevel splittings of the finite element matrix", volume = "297", publisher = pub-SV, address = pub-SV:adr, pages = "826--835", year = "1988", MRclass = "65N30 (65W05)", MRnumber = "936232 (89b:65270)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Lecture Notes in Comput. Sci.", acknowledgement = ack-nhfb, } @InProceedings{Lions:1988:SAM, author = "Pierre Louis Lions", editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and Jacques P{\'e}riaux", booktitle = "{First International Symposium on Domain Decomposition Methods for Partial Differential Equations (Paris, 1987)}", title = "On the {Schwarz} alternating method. {I}", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "1--42", year = "1988", MRclass = "65N35 (35J05 35Q10)", MRnumber = "972510 (90a:65248)", MRreviewer = "N. Gass", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Lucier:1988:PEM, author = "B. J. Lucier", title = "Performance evaluation for multiprocessors programmed using monitors", journal = j-SIGMETRICS, volume = "16", number = "1", pages = "22--29", month = may, year = "1988", CODEN = "????", DOI = "https://doi.org/10.1145/55595.55598", ISSN = "0163-5999 (print), 1557-9484 (electronic)", ISSN-L = "0163-5999", bibdate = "Thu Jun 26 11:05:57 MDT 2008", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/sigmetrics.bib", abstract = "We present a classification of synchronization delays inherent in multiprocessor systems programmed using the monitor paradigm. This characterization is useful in relating performance of such systems to algorithmic parameters in subproblems such as domain decomposition. We apply this approach to a parallel, adaptive grid code for solving the equations of one-dimensional gas dynamics implemented on shared memory multiprocessors such as the Encore Multimax.", acknowledgement = ack-nhfb, } @TechReport{Marinescu:1988:NAL, author = "D. C. Marinescu and John R. Rice", title = "Non-Algorithmic Load Imbalance Effects for Domain Decomposition Methods on a Hypercube", type = "Technical report", number = "TR-832", institution = inst-CS-PURDUE, address = inst-CS-PURDUE:adr, pages = "25", month = dec, year = "1988", bibdate = "Sun Dec 30 13:46:29 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/rice-john-r.bib", URL = "http://www.cs.purdue.edu/research/technical_reports/1988/TR%2088-832.pdf", acknowledgement = ack-nhfb, } @InCollection{Marini:1988:IPD, author = "L. D. Marini and A. Quarteroni", booktitle = "{First International Symposium on Domain Decomposition Methods for Partial Differential Equations (Paris, 1987)}", title = "An iterative procedure for domain decomposition methods: a finite element approach", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "129--143", year = "1988", MRclass = "65N30", MRnumber = "972515 (90d:65196)", MRreviewer = "Wolfgang Moldenhauer", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Matsokin:1988:NST, author = "A. M. Matsokin and S. V. Nepomnyaschikh", title = "Norms in the space of traces of mesh functions", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "3", number = "3", pages = "199--216", year = "1988", ISSN = "0169-2895", MRclass = "65N50 (65M50)", MRnumber = "948943 (89i:65128)", MRreviewer = "Chris Arney", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @Article{Meurant:1988:DDM, author = "G. Meurant", title = "Domain Decomposition Methods for Partial Differential Equations on Parallel Computers", journal = j-IJSA, volume = "2", number = "4", pages = "5--12", month = "Winter", year = "1988", CODEN = "IJSAE9", ISSN = "0890-2720", bibdate = "Tue Feb 18 10:40:00 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/ijsa.bib; UnCover library database", acknowledgement = ack-nhfb, affiliation = "CEA, Centre d'Etudes de Limeil-Valenton, Villeneuve, St Georges, France", } @Article{Meurant:1988:DDP, author = "G. Meurant", title = "Domain decomposition preconditioners for the conjugate gradient method", journal = j-CALCOLO, volume = "25", number = "1--2", pages = "103--119", year = "1988", CODEN = "CDABAE", DOI = "https://doi.org/10.1007/BF02575749", ISSN = "0008-0624 (print), 1126-5434 (electronic)", MRclass = "65N55 (65Y05)", MRnumber = "1053749 (91f:65193)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory of Computation", } @InCollection{Mierendorff:1988:PMM, author = "Hermann Mierendorff", booktitle = "{Multigrid methods (Copper Mountain, CO, 1987)}", title = "Parallelization of multigrid methods with local refinements for a class of nonshared memory systems", volume = "110", publisher = "Dekker", address = "New York, NY, USA", pages = "449--465", year = "1988", MRclass = "65W05 (65N50)", MRnumber = "959352 (89i:65145)", MRreviewer = "Chris Arney", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Lecture Notes in Pure and Appl. Math.", acknowledgement = ack-nhfb, } @InCollection{Nicolaides:1988:IME, author = "R. A. Nicolaides and Shenaz Choudhury", booktitle = "{Finite elements (Hampton, VA, 1986)}", title = "Iterative methods for elliptic finite element equations on general meshes", publisher = pub-SV, address = pub-SV:adr, pages = "94--123", year = "1988", MRclass = "65N30", MRnumber = "964482 (90c:65136)", MRreviewer = "Chuan Miao Chen", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "ICASE/NASA LaRC Ser.", acknowledgement = ack-nhfb, } @Article{Overton:1988:MME, author = "Michael L. Overton", title = "On minimizing the maximum eigenvalue of a symmetric matrix", journal = j-SIAM-J-MAT-ANAL-APPL, volume = "9", number = "2", pages = "256--268", year = "1988", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Papamichael:1988:DDM, author = "N. Papamichael and S. N. Stylianopoulos", title = "On a domain decomposition method for the computation of conformal modules", journal = j-APPL-MATH-LETT, volume = "1", number = "3", pages = "277--280", year = "1988", CODEN = "AMLEEL", DOI = "https://doi.org/10.1016/0893-9659(88)90092-4", ISSN = "0893-9659 (print), 1873-5452 (electronic)", MRclass = "30C60 (30C30 65E05)", MRnumber = "963699", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics Letters. An International Journal of Rapid Publication", } @InProceedings{Pasciak:1988:DDPa, author = "Joseph E. Pasciak", editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and Jacques P{\'e}riaux", booktitle = "{First International Symposium on Domain Decomposition Methods for Partial Differential Equations (Paris, 1987)}", title = "Domain Decomposition Preconditioners for Elliptic Problems in Two and Three Dimensions: {First} Approach", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "62--72", year = "1988", MRclass = "65N99", MRnumber = "972512 (90b:65227)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Pasciak:1988:DDPb, author = "Joseph E. Pasciak", booktitle = "{Numerical algorithms for modern parallel computer architectures (Minneapolis, MN, 1986--87)}", title = "Domain decomposition preconditioners for elliptic problems in two and three dimensions", volume = "13", publisher = pub-SV, address = pub-SV:adr, pages = "163--171", year = "1988", MRclass = "65N50 (65W05)", MRnumber = "950708", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "IMA Vol. Math. Appl.", acknowledgement = ack-nhfb, } @InCollection{Pierce:1988:TLP, author = "D. J. Pierce and R. J. Plemmons", booktitle = "{Linear algebra in signals, systems, and control (Boston, MA, 1986)}", title = "A two-level preconditioned conjugate gradient scheme", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "170--185", year = "1988", MRclass = "65F35", MRnumber = "969792 (90c:65061)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Quarteroni:1988:DDP, author = "Alfio Quarteroni and Giovanni Sacchi Landriani", title = "Domain decomposition preconditioners for the spectral collocation method", journal = j-J-SCI-COMPUT, volume = "3", number = "1", pages = "45--76", year = "1988", CODEN = "JSCOEB", DOI = "https://doi.org/10.1007/BF01066482", ISSN = "0885-7474 (print), 1573-7691 (electronic)", ISSN-L = "0885-7474", MRclass = "65N35", MRnumber = "976320 (90d:65207)", MRreviewer = "Bruce A. Finlayson", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Scientific Computing", } @Article{Quarteroni:1988:PAC, author = "A. Quarteroni and G. Sacchi Landriani", title = "Parallel algorithms for the capacitance matrix method in domain decompositions", journal = j-CALCOLO, volume = "25", number = "1--2", pages = "75--102", year = "1988", CODEN = "CDABAE", DOI = "https://doi.org/10.1007/BF02575748", ISSN = "0008-0624 (print), 1126-5434 (electronic)", MRclass = "65N55", MRnumber = "1053748 (92c:65149)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory of Computation", } @Article{Raju:1988:FFD, author = "K. V. S. V. N. Raju and Arun K. Majumdar", title = "Fuzzy Functional Dependencies and Lossless Join Decomposition of Fuzzy Relational Database Systems", journal = j-TODS, volume = "13", number = "2", pages = "129--166", month = jun, year = "1988", CODEN = "ATDSD3", ISSN = "0362-5915 (print), 1557-4644 (electronic)", bibdate = "Sat Apr 14 10:34:48 MDT 2001", bibsource = "Compendex database; Database/Graefe.bib; Database/Wiederhold.bib; http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/tods.bib", URL = "http://www.acm.org/pubs/articles/journals/tods/1988-13-2/p129-raju/p129-raju.pdf; http://www.acm.org/pubs/citations/journals/tods/1988-13-2/p129-raju/; http://www.acm.org/pubs/toc/Abstracts/tods/42344.html", abstract = "This paper deals with the application of fuzzy logic in a relational database environment with the objective of capturing more meaning of the data. It is shown that with suitable interpretations for the fuzzy membership functions, a fuzzy relational data model can be used to represent ambiguities in data values as well as impreciseness in the association among them. Relational operators for fuzzy relations have been studied, and applicability of fuzzy logic in capturing integrity constraints has been investigated. By introducing a fuzzy resemblance measure EQUAL for comparing domain values, the definition of classical functional dependency has been generalized to fuzzy functional dependency (ffd). The implication problem of ffds has been examined and a set of sound and complete inference axioms has been proposed. Next, the problem of lossless join decomposition of fuzzy relations for a given set of fuzzy functional dependencies is investigated. It is proved that with a suitable restriction on EQUAL, the design theory of a classical relational database with functional dependencies can be extended to fuzzy relations satisfying fuzzy functional dependencies.", acknowledgement = ack-nhfb, affiliation = "Ahdhra Univ, Visakhapatnam, India", affiliationaddress = "Ahdhra Univ, Visakhapatnam, India", annote = "Extend Armstrong's axioms to fuzzy domains. The concept works out theoretically, but may not necessarily agree with the intuition of the database user. This paper is highly theoretical and notationally intimidating. Yet worth to peruse.", classification = "723; 921", generalterms = "Design; Theory", keywords = "database systems; fuzzy functional dependencies; fuzzy relational database systems, design; lossless join decomposition; mathematical techniques --- fuzzy sets; relational; theory", subject = "{\bf H.2.1}: Information Systems, DATABASE MANAGEMENT, Logical Design. {\bf E.5}: Data, FILES. {\bf I.2.3}: Computing Methodologies, ARTIFICIAL INTELLIGENCE, Deduction and Theorem Proving, Uncertainty, ``fuzzy,'' and probabilistic reasoning.", } @TechReport{Scroggs:1988:SPP, author = "Jeffrey Scott Scroggs", title = "The solution of a parabolic partial differential equation via domain decomposition: the synthesis of asymptotic and numerical analysis", type = "Technical Report", number = "CSRD 791; UILU-ENG-88-8005", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "ix + 146", year = "1988", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, annote = "Supported in part by the National Science Foundation. Supported in part by the U.S. Department of Energy. Supported in part by the Air Force Office of Scientific Research.", keywords = "Differential equations, Partial; Parallel programming (Computer science)", } @InCollection{Temam:1988:SSF, author = "Roger Temam", booktitle = "{Finite elements (Hampton, VA, 1986)}", title = "Survey of the status of finite element methods for partial differential equations", publisher = pub-SV, address = pub-SV:adr, pages = "1--33", year = "1988", MRclass = "65-02 (65M60 65N30)", MRnumber = "964478 (89m:65003)", MRreviewer = "I. Christie", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "ICASE/NASA LaRC Ser.", acknowledgement = ack-nhfb, } @InProceedings{Tezduyar:1988:EEI, author = "T. E. Tezduyar and J. Liou", editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and Jacques P{\'e}riaux", booktitle = "First International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Element-by-element and implicit-explicit finite element formulations for computational fluid dynamics", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1988", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Wait:1988:FEA, author = "R. Wait and S. E. Audish and C. J. Willis", booktitle = "{Numerical mathematics, Singapore 1988}", title = "Finite element analysis on a highly parallel multiprocessor architecture", volume = "86", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "507--518", year = "1988", MRclass = "65W05", MRnumber = "1022980 (90i:65263)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Internat. Schriftenreihe Numer. Math.", acknowledgement = ack-nhfb, } @Article{Wait:1988:PPF, author = "R. Wait", title = "Partitioning and preconditioning of finite element matrices on the {DAP}", journal = j-PARALLEL-COMPUTING, volume = "8", number = "1--3", pages = "275--284", month = oct, year = "1988", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", bibdate = "Mon Apr 14 11:08:33 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra)", conflocation = "Liverpool, UK; 25-28 Aug. 1987", conftitle = "International Conference on Vector and Parallel Processors in Computational Science III", corpsource = "Dept. of Stat. and Comput. Math., Liverpool Univ., UK", keywords = "architectures; array; coarse grid smoothing; conjugate gradient; DAP; domain decomposition; finite element analysis; finite element matrices; iteration; linear finite element equations; local memory; matrix algebra; one-way dissection; parallel SIMD; partitioning; preconditioning; processor; relaxation", sponsororg = "US Army Eur. Res. Office", treatment = "T Theoretical or Mathematical", } @TechReport{Widlund:1988:CSD, author = "Olof B. Widlund", title = "A Comparison of Some Domain Decomposition and Iterative Refinement Algorithms for Elliptic Finite Element Problems", number = "BSC 88/15", institution = "IBM Bergen Scientific Centre", address = "Thorm{\o}hlensgaten 55, N-5006 Bergen, Norway", year = "1988", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Widlund:1988:ISMa, author = "Olof B. Widlund", booktitle = "Computational Processes and Systems, 6", title = "Iterative Substructuring Methods: {The} General Elliptic Case", publisher = pub-NAUKA, address = pub-NAUKA:adr, year = "1988", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Proceedings of Modern Problems in Numerical Analysis, a conference held in Moscow, USSR, September 1986. In Russian, also available from the author, in English.", } @InProceedings{Widlund:1988:ISMb, author = "Olof B. Widlund", editor = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and Jacques P{\'e}riaux", booktitle = "{First International Symposium on Domain Decomposition Methods for Partial Differential Equations (Paris, 1987)}", title = "Iterative Substructuring Methods: {Algorithms} and Theory for Elliptic Problems in the Plane", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "113--128", year = "1988", MRclass = "65N30", MRnumber = "972514 (90c:65138)", MRreviewer = "Mari{\'a}n Vajter{\v{s}}ic", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Aboulaich:1989:IMS, author = "R. Aboula{\"{\i}}ch and M. Fortin", booktitle = "{Proceedings of the Eighth International Conference on Computing Methods in Applied Sciences and Engineering (Versailles, 1987)}", title = "Iterative methods for the solution of {Stokes} equations", volume = "75(1--3)", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "317--324", year = "1989", CODEN = "CMMECC", DOI = "https://doi.org/10.1016/0045-7825(89)90032-7", ISSN = "0045-7825, 0374-2830", MRclass = "76M10 (76D05)", MRnumber = "1035754 (91a:76060)", MRreviewer = "Timothy Nigel Phillips", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = j-COMPUT-METH-APPL-MECH-ENG, acknowledgement = ack-nhfb, fjournal = "Computer Methods in Applied Mechanics and Engineering", } @InCollection{Agoshkov:1989:DDM, author = "V. I. Agoshkov", booktitle = "{Conjugate equations and perturbation algorithms in problems of mathematical physics (Russian)}", title = "Domain decomposition methods in problems of mathematical physics", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "31--90", year = "1989", MRclass = "65M55 (65N55)", MRnumber = "1704500", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Book{Agoshkov:1989:SUA, editor = "V. I. Agoshkov and V. P. Shutyaev", title = "Sopryazhennye uravneniya i algoritmy vozmushchenii v zadachakh matematicheskoi fiziki", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "206", year = "1989", MRclass = "00B15 (35-06 65-06)", MRnumber = "1704498 (2000c:00022)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Book{Anonymous:1989:MS, editor = "Anonymous", title = "Mathematical sciences", volume = "32", publisher = "Academia Sinica Institute of Mathematical Sciences", address = "Chengdu, PRC", pages = "19", year = "1989", MRclass = "65-06", MRnumber = "1060956 (90m:65007)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Shuli Kexue [Mathematical Sciences. Research Reports IMS]", acknowledgement = ack-nhfb, } @Article{Babuska:1989:PSS, author = "Ivo Babu{\v{s}}ka and M. Griebel and J. Pitk{\"{a}}ranta", title = "The Problem of Selecting the Shape Functions for a $p$-type Finite Element", journal = j-INT-J-NUM-METH-ENG, volume = "28", pages = "1891--1908", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Bernardi:1989:ARS, author = "Christine Bernardi and Yvon Maday", title = "Approximation results for spectral methods with domain decomposition", journal = j-APPL-NUM-MATH, volume = "6", number = "1--2", pages = "33--52", month = dec, year = "1989", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(89)90053-6", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N35 (65N55)", MRnumber = "1045017 (91e:65135)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; MathSciNet database", note = "Spectral multi-domain methods (Paris, 1988).", acknowledgement = ack-nhfb, affiliation = "CNRS and Univ Pierre et Marie Curie", affiliationaddress = "Paris, Fr", classification = "921", conference = "12th International Association for Mathematics and Computation in Simulation (IMACS) World Congress on Scientific Computation", fjournal = "Applied Numerical Mathematics. An IMACS Journal", journalabr = "Appl Numer Math", keywords = "Domain Decomposition; Finite Element Method; Mathematical Techniques--Approximation Theory; Polynomial Approximation; Projection Operators; Spectral Methods; Spectrum Analysis; Weighted Sobolev Spaces", meetingaddress = "Paris, Fr", meetingdate = "Jul 18--22 1988", meetingdate2 = "07/18--22/88", } @TechReport{Berry:1989:ADC, author = "Michael Berry", title = "Algorithmic design on the {CEDAR} multiprocessor", type = "Technical Report", number = "CSRD 851", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "33", month = feb, year = "1989", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", abstract = "The CEDAR system under development in the Center for Supercomputing Research and Development (CSRD) at the University of Illinois at Urbana-Champaign is a clustered shared-memory multiprocessor system which can be used to support parallel processing for a wide range of numerical and non-numerical applications. In this paper. we survey selected algorithms and applications for CEDAR which are under investigation by members of the CSRD Applications Group. Topics include the design of sparse basic linear algebra kernels, the Conjugate Gradient method for linear systems of equations, direct block tridiagonal linear system solvers, a domain decomposition technique for structural mechanics, boundary integral domain decomposition for partial differential equations, parallel algorithms for circuit simulation, and parallelization of a computer graphics technique (ray tracing). Performance results on the 2-cluster CEDAR system, Alliant FX/8, and Cray X-MP/48 are presented.", acknowledgement = ack-nhfb, annote = "To appear in Proc. of Fourth Int'l Conf. on Supercomputing and Third World Computer Exhibition, Santa Clara, CA, April 1989. Supported in part by National Science Foundation. Supported in part by U.S. Department of Energy.", keywords = "Algorithms; Multiprocessors", } @InProceedings{Bjorstad:1989:MAS, author = "Petter E. Bj{\o}rstad", editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Domain Decomposition Methods", title = "Multiplicative and Additive {Schwarz} Methods: Convergence in the 2 domain case", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1989", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Bjorstad:1989:OON, author = "Petter E. Bj{\o}rstad and Olof B. Widlund", title = "To Overlap or Not to Overlap: {A} Note on a Domain Decomposition Method for Elliptic Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "5", pages = "1053--1061", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Boergers:1989:DDL, author = "Christoph B{\"o}rgers and Olof B. Widlund", title = "A Domain Decomposition {Laplace} Solver for Internal Combustion Modeling", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "4", pages = "211--226", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Boergers:1989:NDD, author = "Christoph B{\"o}rgers", title = "The {Neumann--Dirichlet} domain decomposition method with inexact solvers on the subdomains", journal = j-NUM-MATH, volume = "55", pages = "123--136", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Borgers:1989:DDL, author = "Christoph B{\"o}rgers and Olof B. Widlund", title = "A domain decomposition {Laplace} solver for internal combustion engine modeling", journal = j-SIAM-J-SCI-STAT-COMP, volume = "10", number = "2", pages = "211--226", month = mar, year = "1989", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N20 (65F10)", MRnumber = "90f:65192", MRreviewer = "M. M. Sussman", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "C7440 (Civil and mechanical engineering)", corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA", keywords = "algorithms; combustion engine modeling; convergence analysis; convergence of numerical methods; domain decomposition; elliptic problems; internal combustion engine modeling; internal combustion engines; Laplace solver; Laplace transforms; mechanical engineering computing; multigrid cycles; standard software", treatment = "T Theoretical or Mathematical", } @Article{Borgers:1989:NDD, author = "Christoph B{\"o}rgers", title = "The {Neumann--Dirichlet} domain decomposition method with inexact solvers on the subdomains", journal = j-NUM-MATH, volume = "55", number = "2", pages = "123--136", month = may, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N20 (65F10)", MRnumber = "90f:65191", MRreviewer = "G. Maess", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Michigan Univ., Ann Arbor, MI, USA", keywords = "boundary-value problems; inexact solvers; iterative method; iterative methods; linear elliptic boundary value problems; Neumann--Dirichlet domain decomposition method; subdomains", treatment = "T Theoretical or Mathematical", } @InProceedings{Bourgat:1989:VFA, author = "Jean-Fran\c{c}ois Bourgat and Roland Glowinski and Patrick Le Tallec and Marina Vidrascu", editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Domain Decomposition Methods", title = "Variational Formulation and Algorithm for Trace Operator in Domain Decomposition Calculations", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1989", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Bramble:1989:CPE, author = "James H. Bramble and Joseph E. Pasciak and Alfred H. Schatz", title = "The construction of preconditioners for elliptic problems by substructuring. {IV}", journal = j-MATH-COMPUT, volume = "53", number = "187", pages = "1--24", month = jul, year = "1989", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N30 (65F35)", MRnumber = "89m:65098", MRreviewer = "Charles I. Goldstein", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib; Parallel/par.lin.alg.bib", acknowledgement = ack-nhfb, classcodes = "C4170 (Differential equations); C4180 (Integral equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", keywords = "algebraic system of; boundary-value problems; condition number; discretization; domain decomposition; elliptic boundary value problems; equations; parallel computing architectures; preconditioned system; preconditioners; substructuring; three-dimensional Euclidean space", treatment = "T Theoretical or Mathematical", } @Article{Brezzi:1989:PDR, author = "Franco Brezzi and Craig C. Douglas and L. Donatella Marini", title = "A parallel domain reduction method", journal = j-NUMER-METHODS-PARTIAL-DIFFER-EQU, volume = "5", number = "3", pages = "195--202", year = "1989", CODEN = "NMPDEB", DOI = "https://doi.org/10.1002/num.1690050304", ISSN = "0749-159X", MRclass = "65N55", MRnumber = "1107884 (92a:65324)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Methods for Partial Differential Equations. An International Journal", } @InCollection{Buleev:1989:ISD, author = "S. N. Buleev and V. I. Agoshkov", booktitle = "{Conjugate equations and perturbation algorithms in problems of mathematical physics (Russian)}", title = "Investigation of some domain decomposition algorithms", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "91--111", year = "1989", MRclass = "65N06 (65N38)", MRnumber = "1704501", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @PhdThesis{Cai:1989:SDD, author = "Xiao-Chuan Cai", title = "Some Domain Decomposition Algorithms for Nonselfadjoint Elliptic and Parabolic Partial Differential Equations", school = "Courant Institute of Mathematical Sciences", month = sep, year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Tech. Rep. 461, Department of Computer Science, Courant Institute", } @InCollection{Chan:1989:DDA, author = "Tony F. Chan", booktitle = "{Vector and parallel computing (Troms\o, 1988)}", title = "Domain decomposition algorithms and computational fluid dynamics", publisher = "Horwood", address = "Chichester, UK", pages = "65--82", year = "1989", MRclass = "65N55 (76M99)", MRnumber = "1101638", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Ellis Horwood Ser. Comput. Appl.", acknowledgement = ack-nhfb, } @TechReport{Chan:1989:IPD, author = "Tony F. Chan and David F. Keyes", title = "Interface Preconditioning for Domain-Decomposed Convection-Diffusion Operators", number = "CAM 89-28", institution = "Department of Mathematics, UCLA", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Chan:1989:SCD, author = "Tony F. Chan and Danny Goovaerts", title = "{Schur} complement domain decomposition algorithms for spectral methods", journal = j-APPL-NUM-MATH, volume = "6", number = "1--2", pages = "53--64", month = dec, year = "1989", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(89)90054-8", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N99", MRnumber = "1045018 (91b:65137)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; MathSciNet database", note = "Spectral multi-domain methods (Paris, 1988).", acknowledgement = ack-nhfb, affiliation = "Univ of California", affiliationaddress = "Los Angeles, CA, USA", classification = "921", conference = "12th International Association for Mathematics and Computation in Simulation (IMACS) World Congress on Scientific Computation", fjournal = "Applied Numerical Mathematics. An IMACS Journal", journalabr = "Appl Numer Math", keywords = "Domain Decomposition; Mathematical Techniques--Differential Equations; Parallel Algorithms; Partial Differential Equations; Preconditioned Conjugate Gradient; Spectral Element Method; Spectral Methods; Spectrum Analysis", meetingaddress = "Paris, Fr", meetingdate = "Jul 18--22 1988", meetingdate2 = "07/18--22/88", } @TechReport{Chen:1989:DDM, author = "Hsin-Chu Chen and Ahmed Sameh", title = "A domain decomposition method for {3D} elasticity problems", type = "Technical Report", number = "CSRD 890", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "18", month = sep, year = "1989", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", abstract = "The symmetric-and-antisymmetric (SAS) domain decomposition method is a special matrix decomposition scheme for certain classes of discretized physical problems. This scheme decomposes the original problem into independent or loosely coupled subproblems by taking advantage of symmetry or partial symmetry. This is achieved by exploiting important properties possessed by two special classes of matrices A and B, A and B [are elements of] C[superscript nxn], which satisfy the relations A = PAP and B = - PBP where P is some symmetric signed permutation matrix. In this paper we present the application of the SAS decomposition method to 3D isotropic elasticity problems using the (preconditioned) conjugate gradient algorithm. The method is first applied to problems with symmetric domains and boundary conditions. We then extend its application to general asymmetric problems by choosing the preconditioner to be the stiffness matrix of some symmetrically discretized substructure. This method is not only superior to classical schemes on sequential computers, but also lends itself to efficient implementation on multiprocessors with several levels of parallelism.", acknowledgement = ack-nhfb, annote = "Supported in part by the U.S. Department of Energy.", keywords = "Decomposition method; Symmetric domains", } @InCollection{Demaret:1989:NSS, author = "P. Demaret and M. Deville and C. Schneidesch", booktitle = "{Numerical and applied mathematics, Part II (Paris, 1988)}", title = "{Navier--Stokes} solutions by spectral multi-domain decomposition and finite element preconditioning: application to thermal convection", volume = "1", publisher = "Baltzer", address = "Basel, Switzerland", pages = "725--727", year = "1989", MRclass = "65N99", MRnumber = "1066079", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "IMACS Ann. Comput. Appl. Math.", acknowledgement = ack-nhfb, } @Article{Demaret:1989:TCS, author = "P. Demaret and M. O. Deville and C. Schneidesch", title = "Thermal convection solutions by {Chebyshev} pseudospectral multi-domain decomposition and finite element preconditioning", journal = j-APPL-NUM-MATH, volume = "6", number = "1--2", pages = "107--121", month = dec, year = "1989", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(89)90057-3", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "76-08 (65N99 76R10)", MRnumber = "1 045 021", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; MathSciNet database", note = "Spectral multi-domain methods (Paris, 1988).", acknowledgement = ack-nhfb, affiliation = "Univ Catholique de Louvain", affiliationaddress = "Louvain, Belg", classification = "641; 921", conference = "12th International Association for Mathematics and Computation in Simulation (IMACS) World Congress on Scientific Computation", fjournal = "Applied Numerical Mathematics. An IMACS Journal", journalabr = "Appl Numer Math", keywords = "Chebyshev Polynomials; Convection; Finite Element Preconditioning; Galerkin Finite Element Technique; Heat Transfer; Mathematical Techniques--Chebyshev Approximation; Pseudospectral Multi-domain Decomposition; Spectrum Analysis", meetingaddress = "Paris, Fr", meetingdate = "Jul 18--22 1988", meetingdate2 = "07/18--22/88", } @InProceedings{Dong:1989:DPD, author = "Guozhu Dong", title = "On distributed processibility of datalog queries by decomposing databases", crossref = "Clifford:1989:PAS", pages = "26--35", year = "1989", bibdate = "Wed Oct 25 12:40:13 MDT 2000", bibsource = "http://www.acm.org/pubs/contents/proceedings/series/sigmod_pods/; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/pods.bib", URL = "http://www.acm.org/pubs/articles/proceedings/mod/67544/p26-dong/p26-dong.pdf; http://www.acm.org/pubs/citations/proceedings/mod/67544/p26-dong/", abstract = "We consider distributed or parallel processing of datalog queries. We address this issue by decomposing databases into a number of subdatabases such that the computation of a program on a database can be achieved by {\em unioning its independent evaluations\/} on the subdatabases. More specifically, we identify two kinds of distributed-processable programs according to the properties of database decomposition. (i) A program is {\em disjoint distributive\/} if it is distributed processable over a decomposition consisting of subdatabases with disjoint domains. A characterization of such programs is given in terms of an easily decidable syntactic property called {\em connectivity}. (ii) A program is {\em bounded distributive\/} if it is distributed processable over a decomposition consisting of subdatabases with a fixed size. Three interesting characterizations of such a program are presented, the first by bounded recursion, the second by equivalence to a 1-bounded-recursive program, and the third by constant parallel complexity", acknowledgement = ack-nhfb, generalterms = "Algorithms; Design", subject = "Mathematics of Computing --- Numerical Analysis --- General (G.1.0): {\bf Parallel algorithms}; Software --- Programming Techniques --- Concurrent Programming (D.1.3); Information Systems --- Database Management --- Systems (H.2.4): {\bf Distributed databases}; Information Systems --- Database Management --- Systems (H.2.4): {\bf Query processing}; Information Systems --- Database Management --- Systems (H.2.4): {\bf Concurrency}", } @InProceedings{Dryja:1989:ASA, author = "Maksymilian Dryja", editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Domain Decomposition Methods", title = "An Additive {Schwarz} Algorithm for Two- and Three-Dimensional Finite Element Elliptic Problems", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1989", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Dryja:1989:OAI, author = "Maksymilian Dryja and Olof B. Widlund", booktitle = "Proceedings of the Fourth Copper Mountain Conference on Multigrid Methods", title = "On the Optimality of an Additive Iterative Refinement Method", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "161--170", year = "1989", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Dryja:1989:SDD, author = "Maksymilian Dryja and Olof B. Widlund", editor = "Linda Hayes and David Kincaid", booktitle = "Iterative Methods for Large Linear Systems", title = "Some Domain Decomposition Algorithms for Elliptic Problems", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "273--291", year = "1989", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Proceeding of the Conference on Iterative Methods for Large Linear Systems held in Austin, Texas, October 19--21, 1988, to celebrate the sixty-fifth birthday of David M. Young, Jr.", } @Article{Duff:1989:EOP, author = "Iain S. Duff and G{\'e}rard A. Meurant", title = "The effect of ordering on preconditioned conjugate gradients", journal = j-BIT, volume = "29", number = "4", pages = "635--657", year = "1989", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/BF01932738", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65F35", MRnumber = "1038122 (91d:65064)", MRreviewer = "Cs. J. Heged{\H{u}}s", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", } @InProceedings{Ewing:1989:DDT, author = "Richard E. Ewing", editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Domain Decomposition Methods", title = "Domain Decomposition Techniques for Efficient Adaptive Local Grid Refinement", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1989", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Ewing:1989:PCG, author = "Richard E. Ewing", title = "Preconditioned conjugate gradient methods for large-scale fluid flow applications", journal = j-BIT, volume = "29", number = "4", pages = "850--866", year = "1989", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/BF01932749", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65F10 (65N55 76M25)", MRnumber = "1038133 (91d:65052)", MRreviewer = "Cs. J. Heged{\H{u}}s", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", } @Article{Gazdag:1989:CCS, author = "J. Gazdag and H.-H. Wang", title = "Concurrent computing by sequential staging of tasks", journal = j-IBM-SYS-J, volume = "28", number = "4", pages = "646--660", year = "1989", CODEN = "IBMSA7", ISSN = "0018-8670", bibdate = "Tue Mar 19 17:38:46 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/ibmsysj.bib", abstract = "Described is a new approach to parallel formulation of scientific problems on shared-memory multiprocessors such as the IBM ES/3090 system. The class of problems considered is characterized by repetitive operations applied over the computational domain D. In each such operation, some fields of interest are extrapolated or advanced by an amount of Delta tau. The integration variable tau may be time, distance, or iteration sequence number, depending on the problem under consideration. An extensively studied approach to parallel formulation of such computational problems is based on domain decomposition, which attempts to partition the domain of integration into many pieces, then construct the global solution from these local solutions. Thus, domain decomposition methods are confined to D alone at a single tau level. An inquiry into the possibilities of formulating parallel tasks in tau, or more significantly in the D* tau domain, opens up new horizons and untapped opportunities. The aim of this paper is to detail an approach to exploit this tau domain parallelism that will be referred to as sequential staging of tasks (SST). Concurrency is realized by means of ordering the tasks sequentially and executing them in a partially overlapped or pipelined manner. The SST approach can yield remarkable speedup for jobs requiring intensive paging I/O, even when a single processor is available for executing multiple tasks. Noteworthy features of the SST method are demonstrated and highlighted by using results obtained from computer experiments performed with a numerical solution method of the Poisson equation and migration of seismic reflection data.", acknowledgement = ack-nhfb, affiliation = "IBM Palo Alto Sci. Centre, CA, USA", classification = "C5440 (Multiprocessor systems and techniques)", keywords = "Computational domain; Concurrent computing; Domain decomposition; IBM ES/3090 system; Integration variable; Numerical solution method; Parallel tasks; Partially overlapped tasks; Pipeline execution; Poisson equation; Repetitive operations; Scientific problems; Seismic reflection data; Sequential task staging; Shared-memory multiprocessors; Speedup", pubcountry = "USA", thesaurus = "Parallel processing; Pipeline processing", } @Book{Golub:1989:MC, author = "Gene H. Golub and Charles F. {Van Loan}", title = "Matrix Computations", volume = "3", publisher = pub-JOHNS-HOPKINS, address = pub-JOHNS-HOPKINS:adr, edition = "Second", pages = "xix + 642", year = "1989", ISBN = "0-8018-3772-3 (hardcover), 0-8018-3739-1 (paperback)", ISBN-13 = "978-0-8018-3772-2 (hardcover), 978-0-8018-3739-5 (paperback)", LCCN = "QA188 .G65 1989", MRclass = "65Fxx (65-02)", MRnumber = "90d:65055", MRreviewer = "Perry Smith", bibdate = "Mon Oct 26 07:31:01 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/bibnet/authors/l/lanczos-cornelius.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/master.bib; http://www.math.utah.edu/pub/tex/bib/matlab.bib; http://www.math.utah.edu/pub/tex/bib/texbook2.bib", price = "US\$14.50", series = "Johns Hopkins Series in the Mathematical Sciences", ZMnumber = "0733.65016", abstract = "Thoroughly revised, updated, and expanded by more than one third, this new edition of Golub and Van Loan's landmark book in scientific computing provides the vital mathematical background and algorithmic skills required for the production of numerical software. New chapters on high performance computing use matrix multiplication to show how to organize a calculation for vector processors as well as for computers with shared or distributed memories. Also new are discussions of parallel vector methods for linear equations, least squares, and eigenvalue problems.", acknowledgement = ack-nhfb, author-dates = "Gene Howard Golub (February 29, 1932--November 16, 2007)", keywords = "book; math; matrices --- data processing; matrices --- informatique; na; nla", libnote = "Not yet in my library.", remark = "See review by G. W. Steward in Mathematics of Computation, Vol. 56, No. 193 (Jan., 1991), pp. 380--381.", shorttableofcontents = "Preface to the Third Edition \\ Software \\ Selected References \\ Matrix Multiplication Problems / 1 \\ Matrix Analysis / 48 \\ General Linear Systems / 87 \\ Special Linear Systems / 133 \\ Orthogonalization and Least Squares / 206 \\ Parallel Matrix Computations / 275 \\ The Unsymmetric Eigenvalue Problem / 308 \\ The Symmetric Eigenvalue Problem / 391 \\ Lanczos Methods / 470 \\ Iterative Methods for Linear Systems / 508 \\ Functions of Matrices / 555 \\ Special Topics / 579 \\ Bibliography / 637 \\ Index / 687", tableofcontents = "Preface to the First Edition / xi \\ Preface to the Second Edition / xv \\ Using the Book / xvii \\ 1: Matrix Multiplication Problems / 1 \\ 1.1 Basic Algorithms and Notations / 2 \\ 1.2 Exploiting Structure / 16 \\ 1.3 Block Matrices and Algorithms / 25 \\ 1.4 Aspects of Vector Pipeline Computing / 35 \\ 2: Matrix Analysis / 49 \\ 2.1 Basic Ideas from Linear Algebra / 49 \\ 2.2 Vector Norms / 53 \\ 2.3 Matrix Norms / 55 \\ 2.4 Finite Precision Matrix Computations / 60 \\ 2.5 Orthogonality and the SVD / 70 \\ 2.6 Projections and the CS Decomposition / 75 \\ 2.7 The Sensitivity of Square Linear Systems / 79 \\ 3: General Linear Systems / 86 \\ 3.1 Triangular Systems / 86 \\ 3.2 Computing the LU Factorization / 92 \\ 3.3 Roundoff Analysis of Gaussian Elimination / 104 \\ 3.4 Pivoting / 108 \\ 3.5 Improving and Estimating Accuracy / 123 \\ 4: Special Linear Systems / 133 \\ 4.1 The $LDM^T$ and $LDL^T$ Factorizations / 134 \\ 4.2 Positive Definite Systems / 139 \\ 4.3 Banded Systems / 149 \\ 4.4 Symmetric Indefinite Systems / 159 \\ 4.5 Block Tridiagonal Systems / 170 \\ 4.6 Vandermonde Systems / 178 \\ 4.7 Toeplitz Systems / 183 \\ 5: Orthogonalization and Least Squares / 193 \\ 5.1 Householder and Givens Transformations / 194 \\ 5.2 The $Q R$ Factorization / 211 \\ 5.3 The Full Rank Least Squares Problem / 221 \\ 5.4 Other Orthogonal Factorizations / 233 \\ 5.5 The Rank Deficient Least Squares Problem / 241 \\ 5.6 Weighting and Iterative Improvement / 250 \\ 5.7 A Note on Square and Underdetermined Systems / 256 \\ 6: Parallel Matrix Computations / 260 \\ 6.1 Distributed Memory Gaxpy / 261 \\ 6.2 Shared Memory Gaxpy / 276 \\ 6.3 Parallel Matrix Multiplication / 288 \\ 6.4 Ring Factorization Procedures / 301 \\ 6.5 Mesh Factorization Procedures / 310 \\ 6.6 Shared Memory Factorization Methods / 321 \\ 7: The Unsymmetric Eigenvalue Problem / 331 \\ 7.1 Properties and Decompositions / 332 \\ 7.2 Perturbation Theory / 341 \\ 7.3 Power Iterations / 351 \\ 7.4 Hessenberg and Real Schur Forms / 361 \\ 7.5 The Practical $Q R$ Algorithm / 373 \\ 7.6 Invariant Subspace Computations / 382 \\ 7.7 The $QZ$ Method for $A x = \lambda B x$ / 394 \\ 8: The Symmetric Eigenvalue Problem / 409 \\ 8.1 Properties, Decompositions, Perturbation Theory / 410 \\ 8.2 The Symmetric $Q R$ Algorithm / 418 \\ 8.3 Computing the SVD / 427 \\ 8.4 Some Special Methods / 437 \\ 8.5 Jacobi Methods / 444 \\ 8.6 A Divide and Conquer Method / 459 \\ 8.7 More Generalized Eigenvalue Problems / 466 \\ 9: Lanczos Methods / 475 \\ 9.1 Derivation and Convergence Properties / 476 \\ 9.2 Practical Lanczos Procedures / 484 \\ 9.3 Applications and Extensions / 494 \\ 10: Iterative Methods for Linear Systems / 505 \\ 10.1 The Standard Iterations / 506 \\ 10.2 The Conjugate Gradient Method / 516 \\ 10.3 Preconditioned Conjugate Gradient Methods / 527 \\ 11: Functions of Matrices / 539 \\ 11.1 Eigenvalue Methods / 540 \\ 11.2 Approximation Methods / 546 \\ 11.3 The Matrix Exponential / 555 \\ 12: Special Topics / 561 \\ 12.1 Some Constrained Least Squares Problems / 561 \\ 12.2 Subset Selection Using the SVD / 571 \\ 12.3 Total Least Squares / 576 \\ 12.4 Comparing Subspaces Using the SVD / 581 \\ 12.5 Some Modified Eigenvalue Problems / 587 \\ 12.6 Updating the $Q R$ Factorization / 592 \\ Bibliography / 601 \\ Index / 635", } @Article{Gottlieb:1989:PPD, author = "David Gottlieb and Richard S. Hirsh", title = "Parallel pseudospectral domain decomposition techniques", journal = j-J-SCI-COMPUT, volume = "4", number = "4", pages = "309--325", year = "1989", CODEN = "JSCOEB", DOI = "https://doi.org/10.1007/BF01060991", ISSN = "0885-7474 (print), 1573-7691 (electronic)", ISSN-L = "0885-7474", MRclass = "65N55 (65L60)", MRnumber = "1055280 (91f:65192)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Scientific Computing", } @Article{Greenbaum:1989:CLS, author = "Anne Greenbaum and Congming Li and Han Zheng Chao", title = "Comparison of linear system solvers applied to diffusion-type finite element equations", journal = j-NUM-MATH, volume = "56", number = "6", pages = "529--546", month = dec, year = "1989", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01396343", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65F10 (65N30)", MRnumber = "1024011 (90k:65096)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib; MathSciNet database", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "Numerische Mathematik", keywords = "approximation theory; diagonal scaling; diffusion-type finite element equations; finite element analysis; finite element approximations; hierarchical basis functions; incomplete Cholesky decomposition; iterative methods; linear algebra; linear system solvers; Neumann--Dirichlet domain decomposition; parallel architectures; parallel machines; performance; preconditioned conjugate gradient methods; preconditioner; self-adjoint elliptic differential operators; serial architectures; serial machines", treatment = "T Theoretical or Mathematical", } @Article{Greenbaum:1989:PPC, author = "Anne Greenbaum and Congming Li and Han Zheng Chao", title = "Parallelizing Preconditioned Conjugate Gradient Algorithms", journal = j-COMP-PHYS-COMM, volume = "53", number = "1--3", pages = "295--309", month = may, year = "1989", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(89)90167-7", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 10:28:26 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1980.bib", URL = "http://www.sciencedirect.com/science/article/pii/0010465589901677", acknowledgement = ack-nhfb, fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", xxauthor = "Anne Greenbaum and Congming Li and Zheng Chao Han", } @Article{Gropp:1989:DDP, author = "William D. Gropp and David E. Keyes", title = "Domain Decomposition on Parallel Computers", journal = j-IMP-COMP-SCI-ENG, volume = "1", pages = "421--439", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Book{Ilin:1989:PSM, editor = "V. P. Il{\cprime}in", title = "Proektsionno-setochnye metody v zadachakh chislennogo analiza", publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr", address = "Novosibirsk, USSR", pages = "176", year = "1989", MRclass = "65-06", MRnumber = "1140729 (92f:65010)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @TechReport{Keyes:1989:DDL, author = "David E. Keyes and William D. Gropp", title = "Domain Decomposition with Local Mesh refinement", number = "YALEU/DCS/RR-726", institution = "Yale University", month = aug, year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Keyes:1989:DDT, author = "David E. Keyes and William D. Gropp and Ali Ecder", booktitle = "{Solution of superlarge problems in computational mechanics (Mystic, CT, 1988)}", title = "Domain decomposition techniques for large sparse nonsymmetric systems arising from elliptic problems with first-order terms", publisher = "Plenum", address = "New York, NY, USA", pages = "251--266", year = "1989", MRclass = "65N55 (65F50 65Y05)", MRnumber = "1058270 (91g:65262)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Kolotilina:1989:BSP, author = "L. Yu. Kolotilina and A. Yu. Yeremin", title = "Block {SSOR} preconditionings for high order {$3$D FE} systems", journal = j-BIT, volume = "29", number = "4", pages = "805--823", year = "1989", CODEN = "BITTEL, NBITAB", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65F10 (65N30)", MRnumber = "91d:65054", MRreviewer = "Beny Neta", bibdate = "Fri Nov 13 11:52:23 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", acknowledgement = ack-nhfb, } @Article{Kopriva:1989:DDB, author = "David A. Kopriva", title = "Domain decomposition with both spectral and finite difference methods for the accurate computation of flows with shocks", journal = j-APPL-NUM-MATH, volume = "6", number = "1--2", pages = "141--151", month = dec, year = "1989", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(89)90059-7", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "76-08 (65N99)", MRnumber = "1 045 022", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; MathSciNet database", note = "Spectral multi-domain methods (Paris, 1988).", acknowledgement = ack-nhfb, affiliation = "Florida State Univ", affiliationaddress = "Tallahassee, FL, USA", classification = "631; 921", conference = "12th International Association for Mathematics and Computation in Simulation (IMACS) World Congress on Scientific Computation", fjournal = "Applied Numerical Mathematics. An IMACS Journal", journalabr = "Appl Numer Math", keywords = "Domain Decomposition; Flow of Fluids--Nozzles; Gas Dynamics; Laval Nozzle; Mathematical Techniques--Finite Difference Method; Spectrum Analysis; Steady Shocked Flow", meetingaddress = "Paris, Fr", meetingdate = "Jul 18--22 1988", meetingdate2 = "07/18--22/88", } @Article{Kuznetsov:1989:AMD, author = "Yu. A. Kuznetsov", title = "Algebraic multigrid domain decomposition methods", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "4", number = "5", pages = "351--379", year = "1989", ISSN = "0169-2895", MRclass = "65N50 (65F10)", MRnumber = "1026910 (90j:65140)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @InCollection{Kuznetsov:1989:DDM, author = "S. B. Kuznetsov", booktitle = "{Projection-difference methods in problems of numerical analysis (Russian)}", title = "The domain decomposition method in three-dimensional problems of magnetostatics", publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr", address = "Novosibirsk, USSR", pages = "91--108", year = "1989", MRclass = "78-08 (65N55 78A30)", MRnumber = "1140735", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Kuznetsov:1989:MDDa, author = "Yu. A. Kuznetsov", booktitle = "{Proceedings of the Eighth International Conference on Computing Methods in Applied Sciences and Engineering (Versailles, 1987)}", title = "Multigrid domain decomposition methods for elliptic problems", volume = "75(1--3)", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "185--193", year = "1989", CODEN = "CMMECC", DOI = "https://doi.org/10.1016/0045-7825(89)90023-6", ISSN = "0045-7825, 0374-2830", MRclass = "65N55", MRnumber = "1035752 (91k:65154)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = j-COMPUT-METH-APPL-MECH-ENG, acknowledgement = ack-nhfb, fjournal = "Computer Methods in Applied Mechanics and Engineering", } @InProceedings{Kuznetsov:1989:MDDb, author = "S. B. Kuznetsov", booktitle = "{Proceedings of the Fifth International Symposium on Numerical Methods in Engineering, Vol.\ 1, 2 (Lausanne, 1989)}", title = "Method of domain decomposition in {$3$-D} problems of magnetostatics", publisher = "Comput. Mech.", address = "Southampton, UK", pages = "571--577", year = "1989", MRclass = "78-08 (78A30)", MRnumber = "1052970", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Kuznetsov:1989:MDDc, author = "Yuri A. Kuznetsov", title = "Multilevel Domain Decomposition Methods", journal = j-APP-NUM-MATH, volume = "5", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear", } @Book{Kuznetsov:1989:MMD, author = "Yu. A. Kuznetsov and G. K. Osorgin", title = "Mnogosetochnyi metod dlya trekhmernoi zadachi teorii uprugosti", volume = "240", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, USSR", pages = "28", year = "1989", MRclass = "73V20 (73C02 73V05)", MRnumber = "1086168 (91i:73047)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "{\cyr Preprint} [Preprint]", acknowledgement = ack-nhfb, } @Book{Lapin:1989:MDO, author = "A. V. Lapin", title = "Metod dekompozitsii oblasti dlya setochnoi approksimatsii dvukhfaznoi zadachi {Stefana}", volume = "856", publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr", address = "Novosibirsk, USSR", pages = "29", year = "1989", MRclass = "65N55", MRnumber = "1070717 (91m:65297)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "{\cyr Preprint} [Preprint]", acknowledgement = ack-nhfb, } @Article{Liang:1989:NDD, author = "Guo Ping Liang and Ping Liang", title = "Nonconforming domain decomposition with the hybrid finite element method", journal = "Math. Numer. Sinica", volume = "11", number = "3", pages = "323--332", year = "1989", ISSN = "0254-7791", MRclass = "65N55 (65N30)", MRnumber = "1037456 (91d:65188)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @InProceedings{Lions:1989:SAM, author = "Pierre Louis Lions", editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Domain Decomposition Methods", title = "On the {Schwarz} alternating method. {II}", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1989", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Lu:1989:PAV, author = "Tao L{\"u} and Chin Bo Liem and Tsi Min Shih", booktitle = "{Mathematical sciences}", title = "Parallel algorithms for variational inequalities based on domain decomposition", volume = "32(2)", publisher = "Acad. Sinica Inst. Math.", address = "Chengdu, PRC", pages = "11", year = "1989", MRclass = "65K05 (65N55)", MRnumber = "1060958 (91f:65124)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Math. Sci. Res. Rep. IMS", acknowledgement = ack-nhfb, } @InCollection{Lu:1989:SDD, author = "Tao L{\"u} and Tsi Min Shih and Chin Bo Liem", booktitle = "{Mathematical sciences}", title = "A synchronous domain decomposition method with an estimate of convergence rate", volume = "32(1)", publisher = "Acad. Sinica Inst. Math.", address = "Chengdu, PRC", pages = "8", year = "1989", MRclass = "65N55", MRnumber = "1060957 (91g:65265)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Math. Sci. Res. Rep. IMS", acknowledgement = ack-nhfb, } @TechReport{Mandel:1989:BDS, author = "Jan Mandel", title = "On Block Diagonal and {Schur} Complement Preconditioning", institution = "Computational Mathematics Group, University of Colorado at Denver", month = nov, year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Mandel:1989:EDD, author = "Jan Mandel", title = "Efficient Domain Decomposition Preconditioning for the p-version Finite Element Method in Three Dimensions", institution = "Computational Mathematics Group, University of Colorado at Denver", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Mandel:1989:ISEa, author = "Jan Mandel and Steve McCormick", editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Domain Decomposition Methods", title = "Iterative Solution of Elliptic Equations with Refinement: {The} Two-Level Case", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1989", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Mandel:1989:ISEb, author = "Jan Mandel and Steve McCormick", editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Domain Decomposition Methods", title = "Iterative Solution of Elliptic Equations with Refinement: The Model Multi-Level Case", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1989", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Book{Marchuk:1989:DDM, editor = "G. I. Marchuk", title = "Domain decomposition methods", publisher = "VSP", address = "Zeist, The Netherlands", pages = "431--533", year = "1989", ISSN = "0169-2895", MRclass = "65-06 (01A12)", MRnumber = "1045004 (90j:65005)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Selected translations, Soviet J. Numer. Anal. Math. Modelling {{\bf{4}}} (1989), no. 6", acknowledgement = ack-nhfb, } @Book{Marchuk:1989:MVM, author = "G. I. Marchuk", title = "Metody vychislitelnoi matematiki", publisher = "Nauka", address = "Moscow, Russia", edition = "Third", pages = "608", year = "1989", ISBN = "5-02-014222-0", ISBN-13 = "978-5-02-014222-0", MRclass = "65-01", MRnumber = "1043176 (91h:65002)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Marini:1989:RPD, author = "L. D. Marini and A. Quarteroni", title = "A relaxation procedure for domain decomposition methods using finite elements", journal = j-NUM-MATH, volume = "55", number = "5", pages = "575--598", month = aug, year = "1989", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "90g:65150", MRreviewer = "David F. Griffiths", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "A4710 (General theory, simulation and other computational methods); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Istituto di Analisi Numerica, CNR, Pavia, Italy", keywords = "automatic selection; convergence analysis; convergence of numerical methods; domain decomposition methods; elliptic equations; finite element analysis; finite elements; flow; incompressible Stokes equations; iterative methods; iterative procedure; relaxation procedure; subdomains; transmission conditions", treatment = "T Theoretical or Mathematical", } @PhdThesis{Mathew:1989:DDI, author = "Tarek P. Mathew", title = "Domain Decomposition and Iterative Refinement Methods for Mixed Finite Element Discretisations of Elliptic Problems", school = "Courant Institute of Mathematical Sciences", month = sep, year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Tech. Rep. 463, Department of Computer Science, Courant Institute", } @Article{Matsokin:1989:UBM, author = "A. M. Matsokin and S. V. Nepomnyaschikh", title = "On using the bordering method for solving systems of mesh equations", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "4", number = "6", pages = "487--492", year = "1989", ISSN = "0169-2895", MRclass = "65N22", MRnumber = "1045005 (91d:65161)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Domain decomposition methods", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @Book{McCormick:1989:MAM, author = "Stephen F. McCormick", title = "Multilevel Adaptive Methods for Partial Differential Equations", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "ix + 162", year = "1989", ISBN = "0-89871-247-5", ISBN-13 = "978-0-89871-247-6", LCCN = "QA377 .M32 1989", bibdate = "Mon Jul 11 12:54:12 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{McCormick:1989:MAS, author = "Steve McCormick", booktitle = "{Proceedings of the Fifth International Symposium on Numerical Methods in Engineering, Vol.\ 1, 2 (Lausanne, 1989)}", title = "Multilevel adaptive schemes and domain decomposition methods", publisher = "Comput. Mech.", address = "Southampton, UK", pages = "245--252", year = "1989", MRclass = "65N50", MRnumber = "1052958", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Meurant:1989:DDM, author = "G{\'e}rard Meurant", booktitle = "{Vector and parallel computing (Troms\o, 1988)}", title = "Domain decomposition methods for partial differential equations on parallel computers", publisher = "Horwood", address = "Chichester, UK", pages = "241--253", year = "1989", MRclass = "65N55 (65Y05)", MRnumber = "1101640", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Ellis Horwood Ser. Comput. Appl.", acknowledgement = ack-nhfb, } @Article{Mroz:1989:DDM, author = "Monika Mr{\'o}z", title = "Domain decomposition method for elliptic mixed boundary value problems", journal = j-COMPUTING, volume = "42", number = "1", pages = "45--59", year = "1989", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65N20 (65F10)", MRnumber = "90g:65137", MRreviewer = "H. R. Schwarz", bibdate = "Mon Oct 11 20:38:38 MDT 1999", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/computing.bib; MathSciNet database", acknowledgement = ack-nhfb, } @TechReport{Ong:1989:HBP, author = "M. E. G. Ong", title = "Hierarchical Basis Preconditioners for Second Order Elliptic Problems in Three Dimensions", number = "89--3", institution = "Dept. of Applied Math. University of Washington, Seattle", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Oswald:1989:EHB, author = "Peter Oswald", title = "On estimates for hierarchic basis representations of finite element functions", number = "N/89/16", institution = "Friedrich Schiller Universit\H{a}t, Jena, Germany", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Oswald:1989:IHS, author = "Peter Oswald", title = "On ${C}^1$ interpolating hierarchical spline bases", number = "N/89/16", institution = "Friedrich Schiller Universit\H{a}t, Jena, Germany", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Papamichael:1989:NCM, author = "N. Papamichael", booktitle = "{Proceedings of the 3rd International Congress on Computational and Applied Mathematics (Leuven, 1988)}", title = "Numerical conformal mapping onto a rectangle with applications to the solution of {Laplacian} problems", volume = "28 (special issue)", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "63--83", year = "1989", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0377-0427(89)90321-X", ISSN = "0377-0427 (print), 1879-1778 (electronic)", MRclass = "30C30", MRnumber = "1038832 (90m:30011)", MRreviewer = "D. Gaier", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = j-J-COMPUT-APPL-MATH, acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", } @InProceedings{Quarteroni:1989:DDA, author = "Alfio Quarteroni", editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Domain Decomposition Methods", title = "Domain Decomposition Algorithms for the {Stokes} Equations", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1989", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Quarteroni:1989:ISN, author = "A. Quarteroni and G. Sacchi Landriani", booktitle = "{Applications of mathematics in industry and technology (Siena, 1988)}", title = "Iteration by subdomains in numerical fluid dynamics", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, pages = "54--76", year = "1989", MRclass = "76M10 (65N99 76D07 76M25)", MRnumber = "1079943 (91k:76111)", MRreviewer = "Timothy Nigel Phillips", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Rodrigue:1989:CCA, author = "Garry Rodrigue and Li Shan Kang and Yu Hui Liu", title = "Convergence and comparison analysis of some numerical {Schwarz} methods", journal = j-NUM-MATH, volume = "56", number = "2--3", pages = "123--138", month = oct, year = "1989", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01409781", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N50", MRnumber = "1018297 (90k:65182)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib; MathSciNet database", acknowledgement = ack-nhfb, classification = "C1110 (Algebra); C1120 (Analysis); C4130 (Interpolation and function approximation); C4140 (Linear algebra); C4170 (Differential equations)", corpsource = "California Univ., Davis, CA, USA", fjournal = "Numerische Mathematik", keywords = "approximation theory; block Gauss-Siedel methods; block Jacobi methods; comparison analysis; convergence analysis; convergence behavior; convergence of numerical methods; domain decomposition methods; elliptic equations; inner-outer iterative procedure; iterative methods; M-matrix analysis; matrix algebra; multi-processors; numerical Schwarz methods; partial differential equations; subdomain approximations; subdomain iteration procedures", treatment = "T Theoretical or Mathematical", } @TechReport{Roeck:1989:LPD, author = "Yann-Herv{\'e} De Roeck", title = "A local preconditioner in a domain-decomposed method", number = "TR89/10", institution = "Centre Europ{\'e}en de Recherche et de Formation Avanc{\'e}e en Calcul Scientifique", address = "Toulouse, France", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Rogers:1989:PDT, author = "Anne Rogers and Keshav Pingali", title = "Process decomposition through locality of reference", journal = j-SIGPLAN, volume = "24", number = "7", pages = "69--80", month = jul, year = "1989", CODEN = "SINODQ", ISSN = "0362-1340 (print), 1523-2867 (print), 1558-1160 (electronic)", ISSN-L = "0362-1340", bibdate = "Sun Dec 14 09:15:41 MST 2003", bibsource = "http://portal.acm.org/; http://www.acm.org/pubs/contents/proceedings/pldi/73141/index.html; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/sigplan1980.bib", URL = "http://www.acm.org:80/pubs/citations/proceedings/pldi/73141/p69-rogers/", abstract = "In the context of sequential computers, it is common practice to exploit temporal locality of reference through devices such as caches and virtual memory. In the context of multiprocessors, we believe that it is equally important to exploit spatial locality of reference. We are developing a system which, given a sequential program and its domain decomposition, performs process decomposition so as to enhance spatial locality of reference. We describe an application of this method --- generating code from shared-memory programs for the (distributed memory) Intel iPSC/2.", acknowledgement = ack-nhfb, affiliationaddress = "Ithaca, NY, USA", annote = "Published as part of the Proceedings of PLDI'89.", classification = "722; 723", conference = "Proceedings of the SIGPLAN '89 Conference on Programming Language Design and Implementation", journalabr = "SIGPLAN Not", keywords = "algorithms; Computer Operating Systems--Program Compilers; Computer Programming Languages; Computer Systems Programming--Multiprocessing Programs; Design; design; Optimizing Compilers; performance; Process Decomposition", meetingaddress = "Portland, OR, USA", meetingdate = "Jun 21--23 1989", meetingdate2 = "06/21--23/89", sponsor = "ACM, Special Interest Group on Programming Languages, New York; SS NY, USA", subject = "{\bf D.1.4} Software, PROGRAMMING TECHNIQUES, Sequential Programming. {\bf D.1.1} Software, PROGRAMMING TECHNIQUES, Applicative (Functional) Programming. {\bf D.4.1} Software, OPERATING SYSTEMS, Process Management, Multiprocessing/multiprogramming/multitasking.", } @InCollection{Shakib:1989:EEA, author = "Farzin Shakib and Thomas J. R. Hughes and Zden{\v{e}}k Johan", booktitle = "{Solution of superlarge problems in computational mechanics (Mystic, CT, 1988)}", title = "Element-by-element algorithms for nonsymmetric matrix problems arising in fluids", publisher = "Plenum", address = "New York, NY, USA", pages = "1--33", year = "1989", MRclass = "65F10 (65N55 76M10)", MRnumber = "1058262 (91f:65070)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Shakib:1989:MEG, author = "Farzin Shakib and Thomas J. R. Hughes and Zden{\v{e}}k Johan", booktitle = "{Proceedings of the Eighth International Conference on Computing Methods in Applied Sciences and Engineering (Versailles, 1987)}", title = "A multi-element group preconditioned {GMRES} algorithm for nonsymmetric systems arising in finite element analysis", volume = "75(1--3)", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "415--456", year = "1989", CODEN = "CMMECC", DOI = "https://doi.org/10.1016/0045-7825(89)90040-6", ISSN = "0045-7825, 0374-2830", MRclass = "76M10 (76-04)", MRnumber = "1035757 (91a:76065)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = j-COMPUT-METH-APPL-MECH-ENG, acknowledgement = ack-nhfb, fjournal = "Computer Methods in Applied Mechanics and Engineering", } @Article{Smelov:1989:FIP, author = "V. V. Smelov", title = "Formulation of the iterative process on subdomains for transport theory problems in odd {$P_{2N+1}$}-approximation", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "4", number = "6", pages = "507--521", year = "1989", ISSN = "0169-2895", MRclass = "82D75 (65N22)", MRnumber = "1045006 (91c:82083)", MRreviewer = "B. Kellogg", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Domain decomposition methods", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @Article{Succi:1989:FCP, author = "Sauro Succi and Maurizio Benassi", title = "A four-color parallel algorithm for the solution of a two-dimensional advection-diffusion equation with the finite element method", journal = j-J-SCI-COMPUT, volume = "4", number = "1", pages = "61--70", year = "1989", CODEN = "JSCOEB", DOI = "https://doi.org/10.1007/BF01061266", ISSN = "0885-7474 (print), 1573-7691 (electronic)", ISSN-L = "0885-7474", MRclass = "65W05 (65N30)", MRnumber = "1028924 (90i:65262)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Scientific Computing", } @InProceedings{Widlund:1989:ISE, author = "Olof B. Widlund", editor = "T. J. Chung and G. R. Karr", booktitle = "Finite Element Analysis in Fluids", title = "Iterative Solution of Elliptic Finite Element Problems on Locally Refined Meshes", publisher = pub-U-ALABAMA, address = pub-U-ALABAMA:adr, pages = "462--467", year = "1989", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Proceeding of the 7th International Conference on Finite Element Methods in Flow Problems held in Huntsville, Alabama, April 3 -- 7, 1989.", } @InProceedings{Widlund:1989:OIR, author = "Olof B. Widlund", editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Domain Decomposition Methods", title = "Optimal Iterative Refinement Methods", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1989", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Widlund:1989:RCC, author = "Olof B. Widlund", title = "On the Rate of Convergence of the Classical {Schwarz} Alternating Method in the Case of more than Two Subregions", institution = "Department of Computer Science, Courant Institute", year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "A revised version in preparation", } @Article{Widlund:1989:SDD, author = "Olof B. Widlund", title = "Some Domain Decomposition and Iterative Refinement Algorithms for Elliptic Finite Element Problems", journal = j-J-COMP-MATH, volume = "7", number = "2", pages = "200--208", year = "1989", CODEN = "JCMMEB", ISSN = "0254-9409", MRclass = "65N30", MRnumber = "1016840 (90m:65204)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Proceedings of the China - U. S. Seminar on Boundary Integral Equations and Boundary Element Methods in Physics and Engineering, held at the Xi'an Jiaotong University, Xi'an, The People's Republic of China, December 27, 1987 - January 1, 1988.", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Mathematics. An International Journal on Numerical Methods, Analysis and Applications", xxjournal = j-COMP-MATH, } @InProceedings{Wu:1989:DDT, author = "Chang Hui Wu and Song Wang", booktitle = "{Proceedings of the 3rd International Congress on Computational and Applied Mathematics (Leuven, 1988)}", title = "Domain decomposition technique for the continuity equations of semiconductor device models", volume = "28 (special issue)", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "403--412", year = "1989", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0377-0427(89)90351-8", ISSN = "0377-0427 (print), 1879-1778 (electronic)", MRclass = "65N50", MRnumber = "1038860", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = j-J-COMPUT-APPL-MATH, acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", } @PhdThesis{Xu:1989:TMM, author = "Jinchao Xu", title = "Theory of Multilevel Methods", school = "Cornell University", month = may, year = "1989", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Zampieri:1989:IMD, author = "E. Zampieri", title = "Iterative methods for domain decomposition using spectral tau and collocation approximation", journal = j-CALCOLO, volume = "26", number = "1", pages = "61--91", year = "1989", CODEN = "CDABAE", DOI = "https://doi.org/10.1007/BF02576507", ISSN = "0008-0624 (print), 1126-5434 (electronic)", MRclass = "65N35", MRnumber = "1053308 (91f:65180)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory of Computation", } @InCollection{Abdulaev:1990:DDM, author = "G. S. Abdulaev and Yu. A. Kuznetsov", booktitle = "{Numerical methods and software (Russian)}", title = "The domain decomposition method for nonstationary semiconductor equations", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, Russia", pages = "4--14", year = "1990", MRclass = "65M55 (65M60 65N55)", MRnumber = "1108843 (92c:65107)", MRreviewer = "Bernd Heinrich", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Agoshkov:1990:ASD, author = "V. I. Agoshkov", booktitle = "{Conjugate equations in problems of mathematical physics (Russian)}", title = "The application of some of domain decomposition methods to nonstationary problems and to problems with small parameter", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, Russia", pages = "133--149", year = "1990", MRclass = "65N55", MRnumber = "1156975", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Agoshkov:1990:GSA, author = "V. I. Agoshkov and V. I. Lebedev", title = "Generalized {Schwartz} algorithm with variable parameters [translation of {Preprint} 19, {Akad}.\ {Nauk SSSR}, {Otdel}.\ {Vychisl}.\ {Mat}., {Moscow}, 1981]", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "5", number = "1", pages = "1--26", year = "1990", ISSN = "0169-2895", MRclass = "65N55", MRnumber = "1124933 (92j:65190)", MRreviewer = "Relja Vulanovi{\'c}", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Soviet Journal of Numerical Analysis and Mathematical Modelling", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @Book{Agoshkov:1990:MRO, author = "V. I. Agoshkov", title = "Metod razdeleniya oblasti: nekotorye rezultaty teorii i prilozhenii", volume = "257", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, Russia", pages = "40", year = "1990", MRclass = "65N55", MRnumber = "1115300 (92d:65209)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "With an English summary", series = "{\cyr Preprint} [Preprint]", acknowledgement = ack-nhfb, } @Book{Agoshkov:1990:SUV, editor = "V. I. Agoshkov and V. P. Shutyaev", title = "Sopryazhennye uravneniya v zadachakh matematicheskoi fiziki", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, Russia", pages = "150", year = "1990", MRclass = "00B15", MRnumber = "1156969 (92m:00024)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Agoshkov:1990:VAD, author = "V. I. Agoshkov and V. I. Lebedev", title = "Variational algorithms of the domain decomposition method [translation of {Preprint} 54, {Akad}.\ {Nauk SSSR}, {Otdel}.\ {Vychisl}.\ {Mat}., {Moscow}, 1983]", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "5", number = "1", pages = "27--46", year = "1990", ISSN = "0169-2895", MRclass = "65N55 (65K10)", MRnumber = "1124934 (92j:65191)", MRreviewer = "Relja Vulanovi{\'c}", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Soviet Journal of Numerical Analysis and Mathematical Modelling", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @Book{Anonymous:1990:SJN, editor = "Anonymous", title = "{Soviet Journal of Numerical Analysis and Mathematical Modelling}", publisher = "VSP", address = "Zeist, The Netherlands", pages = "1--90", year = "1990", ISSN = "0169-2895", MRclass = "65-06 (00B50)", MRnumber = "1124932 (92d:65011)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Selected translations, Soviet J. Numer. Anal. Math. Modelling {{\bf{5}}} (1990), no. 1", acknowledgement = ack-nhfb, } @TechReport{Baber:1990:HAD, author = "Marc Baber", title = "Hypertasking: automatic data parallel domain decomposition on the {Intel} parallel supercomputer", type = "Technical report", number = "CS/E 90-006", institution = "Oregon Graduate Institute of Science and Technology, Dept. of Computer Science and Engineering", address = "Beaverton, OR", pages = "16", month = may, year = "1990", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", abstract = "Many nearest neighbor data parallel problems share a similar domain decomposition strategy for hypercube architectures. That strategy is to map sub-blocks, or grains, of each array variable to the available nodes in a manner that matches the hypercube topology to the geometry of the underlying problem, maximizing locality of reference and minimizing message passing overhead. Each node then applies the same algorithm used in the original sequential code to its subset of the data, synchronizing with its neighbors as necessary. This paper describes a domain decomposition tool that accepts a sequential C program with comment directives as input, and produces a new SPMD (Single Program Multiple Data) C program which can be run on a hypercube of any size. Directives allow the user to mark certain arrays to become distributed memory virtual arrays, to limit loops to indices that refer to the local sub-block of an array, and to cause exchanges of boundary values to occur between nodes. The preprocessor approach maintains code portability and is similar to some techniques used on shared memory machines.", acknowledgement = ack-nhfb, keywords = "Parallel processing (Electronic computers); Supercomputers", } @Book{Bank:1990:PSP, author = "Randolph E. Bank", title = "{PLTMG}: {A} Software Package for Solving Elliptic Partial Differential Equations. Users' Guide 6.0", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "ix + 162", year = "1990", ISBN = "0-89871-255-6", ISBN-13 = "978-0-89871-255-1", LCCN = "QA377 .B26 1990", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Bernardi:1990:RPT, author = "Christine Bernardi and Yvon Maday", title = "Rel{\`e}vement Polynomial de Traces et Applications. ({French}) [{Polynomial} raising of Traces and Applications]", journal = j-MMAN, volume = "24", number = "5", pages = "557--611", year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", language = "French", } @InProceedings{Bjorstad:1990:PDD, author = "Petter E. Bj{\o}rstad and Randi Moe and Morten Skogen", editor = "Wolfgang Hackbusch", booktitle = "Parallel Algorithms for PDEs, Proceedings of the 6th GAMM-Seminar held in Kiel, Germany, January 19--21, 1990", title = "Parallel Domain Decomposition and Iterative Refinement Algorithms", publisher = pub-VIEWEG-VERLAG, address = pub-VIEWEG-VERLAG:adr, year = "1990", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Borgers:1990:FED, author = "Christoph B{\"o}rgers and Olof B. Widlund", title = "On Finite Element Domain Imbedding Methods", journal = j-SIAM-J-NUMER-ANAL, volume = "27", number = "4", pages = "963--978", month = aug, year = "1990", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N30", MRnumber = "91g:65235", MRreviewer = "Chuan Miao Chen", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, } @Article{Bourquin:1990:ACS, author = "Fr{\'e}d{\'e}ric Bourquin", title = "Analysis and comparison of several component mode synthesis methods on one-dimensional domains", journal = j-NUM-MATH, volume = "58", number = "1", pages = "11--33", year = "1990", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385608", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (34A46 65L15 65N25)", MRnumber = "1069651 (92a:65323)", MRreviewer = "Rolf Rannacher", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @TechReport{Bramble:1990:DDM, author = "James H. Bramble and Richard E. Ewing and Rossen R. Parashkevov and Joseph E. Pasciak", title = "Domain Decomposition Methods for Problems with Partial Refinement", institution = "Cornell University", year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Bramble:1990:DDT, author = "James H. Bramble and Joseph E. Pasciak", title = "A domain decomposition technique for {Stokes} problems", journal = j-APPL-NUM-MATH, volume = "6", number = "4", pages = "251--261", month = may, year = "1990", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N55 (76D07 76M10 76M25)", MRnumber = "91f:65188", bibdate = "Sat Feb 8 10:09:54 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", acknowledgement = ack-nhfb, } @Article{Bramble:1990:PMP, author = "James H. Bramble and Joseph E. Pasciak and Jin Chao Xu", title = "Parallel Multilevel Preconditioners", journal = j-MATH-COMPUT, volume = "55", number = "191", pages = "1--22", month = jul, year = "1990", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N30 (65F10)", MRnumber = "90k:65170", MRreviewer = "Wolfgang Moldenhauer", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database; Math/kbmath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", keywords = "abstract theory; approximation theory; boundary-value problems; condition number; differential; discrete systems; equations; full approximation space; nested subspaces; numerical approximation; parallel multilevel preconditioners; problems; symmetric elliptic boundary value", treatment = "T Theoretical or Mathematical", } @TechReport{Bramley:1990:DDP, author = "Randall Barry Bramley and Ahmed Sameh", title = "Domain decomposition for parallel row projection algorithms", number = "CSRD 958", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "13", month = jan, year = "1990", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", abstract = "Row projection algorithms for solving nonsymmetric linear systems are theoretically robust, converging for systems with indefinite symmetric parts and arbitrarily distributed eigenvalues. Slow convergence, however, has prevented their widespread use. This paper shows that a domain decomposition approach gives row projections methods that allow parallelism in the computations. The level of concurrency and size of the created subtasks can be chosen to suit the target machine, and the resulting algorithms have advantages over standard domain decomposition methods.", acknowledgement = ack-nhfb, annote = "Submitted to Applied Numerical Mathematics, 1990. Supported in part by the National Science Foundation. Supported in part by U.S. Department of Energy. Supported in part by AT\&T. Supported in part by the Air Force Office of Scientific Research.", keywords = "Eigenvalues; Linear systems", } @Book{Buleev:1990:PRA, author = "S. N. Buleev", title = "Programmnaya realizatsiya algoritmov razdeleniya oblasti", volume = "244", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, Russia", pages = "24", year = "1990", MRclass = "65N55", MRnumber = "1086624 (91m:65293)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "{\cyr Preprint} [Preprint]", acknowledgement = ack-nhfb, } @InProceedings{Cai:1990:ASA, author = "Xiao-Chuan Cai", editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Third International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "An Additive {Schwarz} Algorithm for Nonselfadjoint Elliptic Equations", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1990", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Cai:1990:CRE, author = "Xiao-Chuan Cai and William D. Gropp and David E. Keyes", title = "Convergence Rate Estimate for a Domain Decomposition Method", institution = "Yale University", year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Submitted to Numer. Math.", } @Article{Coron:1990:ECA, author = "F. Coron", title = "Errata: ``{Computation} of the asymptotic states for linear half space kinetic problems''", journal = "Transport Theory Statist. Phys.", volume = "19", number = "6", pages = "581", year = "1990", CODEN = "TTSPB4", DOI = "https://doi.org/10.1080/00411459008260825", ISSN = "0041-1450", MRclass = "82C40 (65M99 82C80)", MRnumber = "1090949 (92b:82103b)", MRreviewer = "B. Kellogg", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Transport Theory and Statistical Physics", } @Article{Despres:1990:DDP, author = "Bruno Despr{\'e}s", title = "{D{\'e}composition} de domaine et probl{\`e}me de {Helmholtz}. ({French}) [{Domain} decomposition in the {Helmholtz} problem]", journal = j-C-R-ACAD-SCI-PARIS-SER-I-MATH, volume = "311", number = "6", pages = "313--316", year = "1990", CODEN = "CASMEI", ISSN = "0764-4442 (print), 1778-3577 (electronic)", MRclass = "65N55", MRnumber = "1071633 (91k:65153)", MRreviewer = "A. Quarteroni", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus de l'Acad{\'e}mie des Sciences. S{\'e}rie I. Math{\'e}matique", language = "French", } @Article{Deville:1990:CCS, author = "M. O. Deville", title = "{Chebyshev} collocation solutions of flow problems", journal = j-COMPUT-METH-APPL-MECH-ENG, volume = "80", number = "1--3", pages = "27--37", year = "1990", CODEN = "CMMECC", DOI = "https://doi.org/10.1016/0045-7825(90)90012-B", ISSN = "0045-7825, 0374-2830", MRclass = "76M10 (65N35 76A05 76D05 76D07 76M25)", MRnumber = "1067940 (91g:76063)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Spectral and high order methods for partial differential equations (Como, 1989)", acknowledgement = ack-nhfb, fjournal = "Computer Methods in Applied Mechanics and Engineering", } @Article{Dostal:1990:PPD, author = "Zden{\v{e}}k Dost{\'a}l", title = "Projector preconditioning and domain decomposition methods", journal = j-APPL-MATH-COMP, volume = "37", number = "2 (part II)", pages = "75--81", month = may, year = "1990", CODEN = "AMHCBQ", ISSN = "0096-3003 (print), 1873-5649 (electronic)", MRclass = "65N55 (65F35)", MRnumber = "1 055 447", bibdate = "Fri Feb 28 14:35:55 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib", acknowledgement = ack-nhfb, affiliation = "Hornicky Ustav CSAV, Ostrava, Czechoslovakia", } @InProceedings{Dryja:1990:TUT, author = "Maksymilian Dryja and Olof B. Widlund", editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, held in Houston, Texas, March 20-22, 1989", title = "Towards a Unified Theory of Domain Decomposition Algorithms for Elliptic Problems", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1990", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @MastersThesis{Frank:1990:ECM, author = "George N. Frank", title = "Experiments on the {Cedar} multicluster with parallel block cyclic reduction and an application to domain decomposition methods", type = "Thesis (M.S.)", number = "CSRD 1056; UILU-ENG-90-8032", school = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "vii + 69", month = nov, year = "1990", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", abstract = "The objective of this work is to map certain algorithms for the efficient solution of a class of elliptic partial differential equations on an architecture with multiple levels of computational parallelism and hierarchical memory organization. The prototype system is the Cedar multicluster, developed at the Center for Supercomputing Research and Development (CSRD) at the University of Illinois. In our experiments, each cluster of Cedar is a modified Alliant FX/8 with four processors. The algorithms we implement are parallel block cyclic reduction, and certain domain decomposition methods based on the Schur complement, for T-shaped regions. They are written to exploit the multiple cluster capabilities of the machine, as well as the concurrent and vector computational resources of each cluster. For each of these applications we obtain good multi-cluster performance: good speedups are obtained for the new implementations on multiple clusters of Cedar, relative to the implementations best suited for a single cluster. Most importantly, our experiments also point to advantages of the multi-cluster organization. For the case of block cyclic reduction, for example, the performance using the new multicluster algorithm on eight processors organized in two clusters is superior to that of the original parallel algorithm optimized for the eight faster processors of the Alliant FX/80.", acknowledgement = ack-nhfb, annote = "Supported in part by the National Science Foundation. Supported in part by the U.S. Department of Energy.", keywords = "Algorithms; Differential equations, Partial; Parallel processing (Electronic computers)", } @TechReport{Frank:1990:EEP, author = "G. Frank and E. J. (Efstratios J.) Gallopoulos and Ulrike Meier", title = "Experiments with elliptic problem solvers on the {Cedar} multicluster", type = "Technical Report", number = "CSRD 902", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "6", month = mar, year = "1990", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", abstract = "The implementation and performance of algorithms for the solution of elliptic problems on the Cedar multiprocessor is examined. The algorithms considered are conjugate gradient schemes with or without preconditioning on a rectangular domain and domain decomposition techniques with overlapping (Schwarz Alternating Method) and nonoverlapping subdomains on a T-shaped domain. We present some preliminary results from our current research effort.", acknowledgement = ack-nhfb, annote = "To appear in Proc. of Fourth SIAM Conference on Parallel Processing Sci. Computing, Chicago, IL, December 1989 (revised March 1990) Supported in part by the National Science Foundation. Supported in part by the U.S. Dept. of Energy. Supported in part by AT\&T. Supported in part by the Air Force Office of Scientific Research. Supported in part by NASA Ames Research Center.", keywords = "Multiprocessors", } @Article{Gaier:1990:MLQ, author = "D. Gaier and W. K. Hayman", title = "Moduli of long quadrilaterals and thick ring domains", journal = j-REND-MAT-APPL-1981, volume = "10", number = "4", pages = "809--834 (1991)", year = "1990", CODEN = "RNMTAN", ISSN = "1120-7183", MRclass = "30C35 (30C30)", MRnumber = "1145682 (93b:30007)", MRreviewer = "N. Papamichael", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Rendiconti di Matematica e delle sue Applicazioni. Serie VII", } @InProceedings{Glowinski:1990:ADD, author = "R. Glowinski and W. Kinton and M. F. Wheeler", editor = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, held in Houston, Texas, March 20-22, 1989", title = "Acceleration of Domain Decomposition Algorithms for Mixed Finite Elements by Multi-level Methods", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1990", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Haase:1990:NADa, author = "Gundolf Haase and Ulrich Langer and Arnd Meyer", title = "A New Approach to the {Dirichlet} Domain Decomposition Method", institution = "Technical University of Chemnitz", year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Haase:1990:NADb, author = "Gundolf Haase and Ulrich Langer and Arnd Meyer", booktitle = "{Fifth Multigrid Seminar (Eberswalde, 1990)}", title = "A new approach to the {Dirichlet} domain decomposition method", volume = "90", publisher = "Karl-Weierstrass-Inst. Math.", address = "Berlin, Germany", pages = "1--59", year = "1990", MRclass = "65N55 (65F35)", MRnumber = "1100487 (92a:65327)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Rep. MATH", acknowledgement = ack-nhfb, } @Article{Huang:1990:UFD, author = "Lan Chieh Huang", title = "The {ULWC} finite difference scheme for the numerical solution of incompressible {Navier--Stokes} equations", journal = "Math. Numer. Sinica", volume = "12", number = "2", pages = "194--205", year = "1990", ISSN = "0254-7791", MRclass = "65P05 (76D05 76M20)", MRnumber = "1070309 (91i:65199)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @TechReport{Hvidsten:1990:PFE, author = "Anders Hvidsten", title = "On the Parallelization of a Finite Element Structural Analysis Program", institution = "University of Bergen, Norway", year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Ph.D. Thesis. Computer Science Department", } @Book{Ilin:1990:CMM, editor = "V. P. Il{\cprime}in", title = "Chislennye metody i matematicheskoe modelirovanie", publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr", address = "Novosibirsk, USSR", pages = "167", year = "1990", MRclass = "65-06 (35-06)", MRnumber = "1209167 (93i:65007)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Kang:1990:DDM, author = "Li Shan Kang and Garry Rodrigue", title = "Domain decomposition methods for solving {PDEs} on multi-processors", journal = "Acta Math. Sci. (English Ed.)", volume = "10", number = "4", pages = "459--470", year = "1990", ISSN = "0252-9602", MRclass = "65N55 (65N12 65Y05)", MRnumber = "1107374 (92a:65328)", MRreviewer = "Stanly L. Steinberg", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Acta Mathematica Scientia. English Edition. Shuxue Wuli Xuebao", } @Article{Karageorghis:1990:EDM, author = "Andreas Karageorghis and Timothy N. Phillips", title = "On efficient direct methods for conforming spectral domain decomposition techniques", journal = j-J-COMPUT-APPL-MATH, volume = "33", number = "2", pages = "141--155", year = "1990", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0377-0427(90)90364-6", ISSN = "0377-0427 (print), 1879-1778 (electronic)", MRclass = "65M55 (65M70)", MRnumber = "1090891 (92a:65254)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", } @Article{Keyes:1990:DDT, author = "David E. Keyes and William D. Gropp", title = "Domain Decomposition Techniques for the Parallel Solution of Nonsymmetric Systems of Elliptic {BVPs}", journal = j-APP-NUM-MATH, volume = "6", pages = "281--301", year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Khoromsky:1990:DDM, author = "B. N. Khoromsky and G. E. Mazurkevich and E. P. Zhidkov", title = "Domain decomposition method for magnetostatics nonlinear problems in combined formulation", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "5", number = "2", pages = "111--136", year = "1990", ISSN = "0169-2895", MRclass = "65N55 (78-08 78A30)", MRnumber = "1122364 (92h:65185)", MRreviewer = "P. Rochus", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @Article{Kiss:1990:IMN, author = "B{\'e}la Kiss", title = "An iterative method for nonselfadjoint elliptic problems on regions partitioned into substructures", journal = "Ann. Univ. Sci. Budapest. Sect. Comput.", volume = "10", pages = "19--33", year = "1990", ISSN = "0138-9491", MRclass = "65N55 (65N30)", MRnumber = "1097031 (92a:65330)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Annales Universitatis Scientiarum Budapestinensis de Rolando E{\"o}tv{\"o}s Nominatae. Sectio Computatorica", } @InCollection{Konshin:1990:OMD, author = "I. N. Kon{\cprime}shin", booktitle = "{Numerical methods and software (Russian)}", title = "Optimization of multigrid domain decomposition methods", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, Russia", pages = "73--94", year = "1990", MRclass = "65N55", MRnumber = "1108848", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Korshiya:1990:DMS, author = "T. K. Korshiya and G. B. Lobzhanidze", title = "The decomposition method for solving block-tape systems of algebraic equations", journal = "Tbiliss. Gos. Univ. Inst. Prikl. Mat. Trudy", volume = "40", pages = "103--149, 247--248", year = "1990", ISSN = "0376-2637", MRclass = "65N22 (65F05 65N06 65N30 65N55 65Y05)", MRnumber = "1122576 (92h:65161)", MRreviewer = "W. Govaerts", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Tbilisski\u\i\ Gosudarstvenny\u\i\ Universitet. Institut Prikladno\u\i\ Matematiki. Trudy", } @Book{Kuznetsov:1990:CMP, editor = "Yu. A. Kuznetsov", title = "Chislennye metody i programmnoe obespechenie", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, Russia", pages = "164", year = "1990", MRclass = "65-06 (00B15)", MRnumber = "1108842 (91m:65004)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Kuznetsov:1990:DDMa, author = "I. B. Kuznetsov and S. B. Kuznetsov and K. M. Shkol{\cprime}nik", booktitle = "{Numerical methods and mathematical modeling (Russian)}", title = "The domain decomposition method for the parallelization of a sequential upper relaxation algorithm", publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr", address = "Novosibirsk, USSR", pages = "95--104", year = "1990", MRclass = "65N55", MRnumber = "1209171", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Kuznetsov:1990:DDMb, author = "Yu. A. Kuznetsov", booktitle = "{Computing methods in applied sciences and engineering (Paris, 1990)}", title = "Domain decomposition methods for unsteady convection-diffusion problems", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "211--227", year = "1990", MRclass = "65N55", MRnumber = "1102024", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Kuznetsov:1990:MLD, author = "Yu. A. Kuznetsov", title = "Multi-level domain decomposition methods", journal = j-APPL-NUM-MATH, volume = "6", number = "4", pages = "303--314", month = may, year = "1990", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N55", MRnumber = "91g:65264", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Sat Feb 8 10:09:54 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", acknowledgement = ack-nhfb, } @Article{Kuznetsov:1990:MMP, author = "Yu. A. Kuznetsov and G. K. Osorgin", title = "Multigrid method for the plane problem of elasticity theory", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "5", number = "2", pages = "137--156", year = "1990", ISSN = "0169-2895", MRclass = "65N55 (65N22 73C02 73V10)", MRnumber = "1122365 (92d:65210)", MRreviewer = "S. F. McCormick", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @Article{Landriani:1990:MSC, author = "G. Sacchi Landriani and H. Vandeven", title = "A multidomain spectral collocation method for the {Stokes} problem", journal = j-NUM-MATH, volume = "58", number = "4", pages = "441--464", year = "1990", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385635", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N35 (76D07 76M25)", MRnumber = "1077588 (91j:65168)", MRreviewer = "Timothy Nigel Phillips", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Liang:1990:NDD, author = "Gou-ping Liang and Ping Liang", title = "Nonconforming domain decomposition with hybrid method", journal = j-J-COMP-MATH, volume = "8", number = "4", pages = "363--370", year = "1990", CODEN = "JCMMEB", ISSN = "0254-9409", MRclass = "65N55", MRnumber = "1149718 (92i:65186)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Mathematics. An International Journal on Numerical Methods, Analysis and Applications", } @InProceedings{Lions:1990:SAM, author = "Pierre Louis Lions", editor = "Tony F. Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Third International Symposium on Domain Decomposition Methods for Partial Differential Equations , held in Houston, Texas, March 20-22, 1989", title = "On the {Schwarz} alternating method. {III}: {A} variant for nonoverlapping subdomains", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1990", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Mandel:1990:HPP, author = "Jan Mandel", editor = "Tony F. Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, held in Houston, Texas, March 20-22, 1989", title = "Hierarchical preconditioning and partial orthogonalization for the p-version finite element method", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1990", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Mandel:1990:ISS, author = "Jan Mandel", title = "Iterative solvers by substructuring for the p-version finite element method", journal = j-COMP-METH-APP-MECH-ENG, volume = "80", pages = "117--128", year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Mandel:1990:TLD, author = "Jan Mandel", title = "Two-level domain decomposition preconditioning for the p-version finite element version in three dimensions", journal = j-INT-J-NUM-METH-ENG, volume = "29", pages = "1095--1108", year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Mansfield:1990:CGS, author = "Lois Mansfield", title = "On the Conjugate Gradient Solution of the {Schur} Complement System Obtained from Domain Decomposition", journal = j-SIAM-J-NUMER-ANAL, volume = "27", number = "6", pages = "1612--1620", month = dec, year = "1990", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0727094", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65F35 (65N55)", MRnumber = "1080341 (91i:65083)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", } @Article{Meyer:1990:PPC, author = "A. Meyer", title = "A Parallel Preconditioned Conjugate Gradient Method Using Domain Decomposition and Inexact Solvers on Each Subdomain", journal = j-COMPUTING, volume = "45", number = "3", pages = "217--234", year = "1990", CODEN = "CMPTA2", DOI = "https://doi.org/10.1007/BF02250634", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65N55 (65F35)", MRnumber = "1080792 (91i:65192)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "Compendex database; http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/computing.bib; MathSciNet database; OCLC Contents1st database", acknowledgement = ack-nhfb, affiliation = "Acad of Science GDR", affiliationaddress = "Chemnitz, Germany", classification = "723; 921", fjournal = "Computing. Archives for Scientific Computing", journalabr = "Computing (Vienna/New York)", keywords = "Computer Systems Programming--Multiprocessing Programs; Conjugate Gradient Methods; Domain Decomposition; Iterative Solvers; Mathematical Techniques", } @Article{Morandi:1990:CMI, author = "R. Morandi and A. Sestini", title = "{Cray Y-MP\slash 432} implementation of a domain decomposition method", journal = j-SUPERCOMPUTER, volume = "7", number = "6", pages = "27--33", month = nov, year = "1990", CODEN = "SPCOEL", ISSN = "0168-7875", bibdate = "Wed Mar 18 08:37:01 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/supercom.bib", acknowledgement = ack-nhfb, affiliation = "Dipartimento di Energetica, Firenze Univ., Italy", classification = "C4170 (Differential equations)", corpsource = "Dipartimento di Energetica, Firenze Univ., Italy", keywords = "Cray Y-MP/432; domain decomposition; elliptic partial differential equations; large sparse linear systems; microtasking; parallel algorithms; partial differential equations", pubcountry = "Netherlands", treatment = "P Practical", } @Book{Nepomnyashchikh:1990:MRO, author = "S. V. Nepomnyashchikh", title = "Metod razdeleniya oblasti dlya ellipticheskikh zadach s razryvnymi koeffitsientami", volume = "891", publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr", address = "Novosibirsk, USSR", pages = "21", year = "1990", MRclass = "65N55", MRnumber = "1086627 (92a:65332)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "With an English summary", series = "{\cyr Preprint} [Preprint]", acknowledgement = ack-nhfb, } @TechReport{Neta:1990:DDM, author = "B. Neta and N. Okamoto", title = "On Domain Decomposition Methods for Solving Partial Differential Equations", number = "NPS-MA-90-004", institution = inst-MATH-NPS, address = inst-MATH-NPS:adr, year = "1990", bibdate = "Fri Nov 11 14:50:24 MST 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/n/neta-beny.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/neta-beny.bib", acknowledgement = ack-nhfb, } @Article{Oswald:1990:DNS, author = "Peter Oswald", title = "On the degree of nonlinear spline approximation in {Besov-Sobolev} spaces", journal = j-APP-THEORY, volume = "61", number = "2", pages = "131--157", year = "1990", MRclass = "41A15 (41A25)", MRnumber = "91c:41030", MRreviewer = "G{\"u}nther N{\"u}rnberger", bibdate = "Fri Oct 23 19:07:40 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Oswald:1990:FSR, author = "Peter Oswald", title = "On function spaces related to finite element approximation theory", journal = j-Z-ANA-ANW, volume = "9", number = "1", pages = "43--64", year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Papamichael:1990:NPD, author = "N. Papamichael and N. S. Stylianopoulos", booktitle = "{Computational methods and function theory (Valpara{\'\i} so, 1989)}", title = "On the numerical performance of a domain decomposition method for conformal mapping", volume = "1435", publisher = pub-SV, address = pub-SV:adr, pages = "155--169", year = "1990", DOI = "https://doi.org/10.1007/BFb0087905", MRclass = "30C30", MRnumber = "1071770 (91k:30016)", MRreviewer = "D. Gaier", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Lecture Notes in Math.", acknowledgement = ack-nhfb, } @Article{Perkins:1990:DDM, author = "A. Louise Perkins and Garry Rodrigue", title = "A domain decomposition method for solving a two-dimensional viscous {Burgers}' equation", journal = j-APPL-NUM-MATH, volume = "6", number = "4", pages = "329--340", month = may, year = "1990", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65P05 (65N55 76D05 76M20)", MRnumber = "91h:65209", bibdate = "Sat Feb 8 10:09:54 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", acknowledgement = ack-nhfb, } @InCollection{Phillips:1990:SDD, author = "Timothy N. Phillips", booktitle = "{Spectral and high order methods for partial differential equations (Como, 1989)}", title = "Spectral domain decomposition techniques for viscous incompressible flows", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "389--395", year = "1990", MRclass = "65M70 (65M55 76A05 76D05 76M25)", MRnumber = "1180578", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Quarteroni:1990:DDG, author = "Alfio Quarteroni and Alberto Valli", booktitle = "{Proceedings of the Third European Conference on Mathematics in Industry (Glasgow, 1988)}", title = "Domain decomposition for a generalized {Stokes} problem", volume = "5", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, pages = "59--74", year = "1990", MRclass = "65N55 (35Q30 76D07 76M25)", MRnumber = "1076426 (91k:65155)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "European Consort. Math. Indust.", acknowledgement = ack-nhfb, } @Article{Quarteroni:1990:DDM, author = "Alfio Quarteroni", title = "Domain Decomposition Methods for Systems of Conservation Laws: Spectral Collocation Approximations", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1029--1052", month = nov, year = "1990", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0911058", ISSN = "0196-5204", MRclass = "65N55 (65M55 65M70 65N35)", MRnumber = "1068495 (91k:65156)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib; MathSciNet database", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis)", corpsource = "Dipartimento di Matematica, Univ. Cattolica, Brescia, Italy", fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", keywords = "conservation laws; convergence analysis; convergence of numerical methods; difference equations; domain decomposition; error-reduction factor; finite difference schemes; hyperbolic systems; iteration-by-subdomain procedure; iterative methods; nonlinear problem; spectral collocation approximations", treatment = "T Theoretical or Mathematical", } @Article{Shao:1990:SDD, author = "Jian Ping Shao", title = "A symmetric domain decomposition method based on the symmetrization principle", journal = "Math. Appl. (Wuhan)", volume = "3", number = "2", pages = "6--11", year = "1990", ISSN = "1001-9847", MRclass = "65L60 (65N55)", MRnumber = "1073312 (91i:65143)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Applicata. Yingyong Shuxue", } @PhdThesis{Smith:1990:DDAa, author = "Barry F. Smith", title = "Domain Decomposition Algorithms for the Partial Differential Equations of Linear Elasticity", school = "Courant Institute of Mathematical Sciences", month = sep, year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Tech. Rep. 517, Department of Computer Science, Courant Institute", } @Article{Smith:1990:DDAb, author = "Barry F. Smith and Olof B. Widlund", title = "A Domain Decomposition Algorithm Using a Hierarchical Basis", journal = j-SIAM-J-SCI-STAT-COMP, volume = "11", number = "6", pages = "1212--1220", month = nov, year = "1990", CODEN = "SIJCD4", DOI = "https://doi.org/10.1137/0911069", ISSN = "0196-5204", MRclass = "65F35 (65N55)", MRnumber = "1068505 (91m:65125)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib; MathSciNet database", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290H (Linear algebra); C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Courant Inst. of Math. Sci., New York Univ., NY, USA", fjournal = "Society for Industrial and Applied Mathematics. Journal on Scientific and Statistical Computing", keywords = "coarsest mesh; conjugate gradient methods; domain decomposition algorithm; elliptic finite element problems; finite element analysis; hierarchical basis; linear algebra; multigrid method; neighboring subregions; preconditioned conjugate gradient methods; preconditioner", treatment = "T Theoretical or Mathematical", } @Article{Vabishchevich:1990:IMD, author = "P. N. Vabishchevich", title = "Iterative methods of domain decomposition with overlap for elliptic boundary value problems", journal = "Differentsial\cprime nye Uravneniya", volume = "26", number = "7", pages = "1197--1207, 1286", year = "1990", ISSN = "0374-0641", MRclass = "65N55", MRnumber = "1072216 (91h:65194)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Differentsial\cprime nye Uravneniya", } @InCollection{Vasilevskii:1990:DDM, author = "Yu. V. Vasilevski{\u\i}", booktitle = "{Numerical methods and software (Russian)}", title = "The domain decomposition method with approximate solution of subproblems", publisher = "Akad. Nauk SSSR Otdel Vychisl. Mat.", address = "Moscow, Russia", pages = "23--29", year = "1990", MRclass = "65N55 (65N30)", MRnumber = "1108845 (92c:65151)", MRreviewer = "Lutz Angermann", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Yserentant:1990:TPB, author = "Harry Yserentant", title = "Two preconditioners based on the multi-level splitting of finite element spaces", journal = j-NUM-MATH, volume = "58", number = "2", pages = "163--184", year = "1990", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Agoshkov:1991:DDM, author = "V. I. Agoshkov", booktitle = "{Computational processes and systems, No.\ 8 (Russian)}", title = "Domain decomposition methods in problems of mathematical physics", publisher = "Nauka", address = "Moscow, Russia", pages = "3--51", year = "1991", MRclass = "65M55 (65M60 65R20 76M10 76Rxx)", MRnumber = "1151879 (92m:65115)", MRreviewer = "G. W. Hedstrom", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Babuska:1991:EPV, author = "I. Babu{\v{s}}ka and A. Craig and J. Mandel and J. Pitk{\"a}ranta", title = "Efficient preconditioning for the {$p$}-version finite element method in two dimensions", journal = j-SIAM-J-NUMER-ANAL, volume = "28", number = "3", pages = "624--661", month = jun, year = "1991", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N30 (65Y05)", MRnumber = "92a:65282", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, } @Article{BacchelliMontefusco:1991:DDM, author = "L. {Bacchelli Montefusco} and C. Guerrini", title = "A domain decomposition method for scattered data approximation on a distributed memory multiprocessor", journal = j-PARALLEL-COMPUTING, volume = "17", number = "2--3", pages = "253--263", month = jun, year = "1991", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", bibdate = "Mon Apr 14 11:08:33 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C7310 (Mathematics)", corpsource = "Dept. of Math., Messina Univ., Italy", keywords = "algorithms; approximation theory; coarse; distributed memory multiprocessor; domain decomposition method; dynamic arithmetic load-balance; grained parallel algorithm; Hypercube iPSC/2; mathematics computing; parallel; performance; scattered data approximation; sequential algorithm; sequential algorithms; weight functions", treatment = "P Practical; T Theoretical or Mathematical", } @InCollection{Bjorstad:1991:PDD, author = "Petter E. Bj{\o}rstad and Randi Moe and Morten Skogen", booktitle = "{Parallel algorithms for partial differential equations (Kiel, 1990)}", title = "Parallel domain decomposition and iterative refinement algorithms", volume = "31", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "28--46", year = "1991", MRclass = "65N55 (65Y05)", MRnumber = "1167866", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Notes Numer. Fluid Mech.", acknowledgement = ack-nhfb, } @Article{Bjorstad:1991:SSO, author = "Petter E. Bj{\o}rstad and Jan Mandel", title = "On the Spectra of Sums of Orthogonal Projections with Applications to Parallel Computing", journal = j-BIT, volume = "31", number = "1", pages = "76--88", year = "1991", CODEN = "BITTEL, NBITAB", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65J10 (35P05 65Y05)", MRnumber = "91m:65157", MRreviewer = "I. Norman Katz", bibdate = "Fri Nov 13 07:00:34 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", acknowledgement = ack-nhfb, } @Article{Bramble:1991:CEM, author = "James H. Bramble and Joseph E. Pasciak and Jun Ping Wang and Jinchao Xu", title = "Convergence estimates for multigrid algorithms without regularity assumptions", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "23--45", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65J10 (65N55)", MRnumber = "91m:65158", MRreviewer = "Rong Hua Li", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", keywords = "approximation; approximation theory; assumption; coefficients; convergence of numerical methods; convergence rate estimates; differential equations; irregular; large jumps coefficients; multigrid refinement applications; multigrip algorithms; nodes; rate of convergence estimates; smooth; symmetric positive definite problems", treatment = "T Theoretical or Mathematical", } @Article{Bramble:1991:CEP, author = "James H. Bramble and Joseph E. Pasciak and Jun Ping Wang and Jinchao Xu", title = "Convergence estimates for product iterative methods with applications to domain decomposition", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "1--21", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65J10 (65M55 65N22 65N55)", MRnumber = "92d:65094", MRreviewer = "I. P. Gavrilyuk", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classcodes = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", keywords = "approximation; approximation theory; convergence estimates; convergence of numerical methods; decomposition; domain; error-reducing operator; finite element; iterative methods; norm-reduction estimates; orthogonal projections; product iterative methods; Schwarz algorithms; second-order elliptic problems; subspaces; symmetric positive definite problems", treatment = "T Theoretical or Mathematical", } @TechReport{Bramble:1991:ISN, author = "James H. Bramble and Zbigniew Leyk and Joseph E. Pasciak", title = "Iterative Schemes for Non-symmetric and Indefinite Elliptic Boundary Value Problems", institution = "Cornell University", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Bramble:1991:NEM, author = "James H. Bramble and Joseph E. Pasciak", title = "New Estimates for Multilevel Algorithms Including the {V}-cycle", institution = "Cornell University", month = aug, year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Bramble:1991:SEW, author = "James H. Bramble and Jinchao Xu", title = "Some Estimates for a Weighted ${L}^2$ Projection", journal = j-MATH-COMPUT, volume = "56", number = "194", pages = "463--476", month = apr, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N30 (65N15 65N55)", MRnumber = "91k:65140", MRreviewer = "A. Quarteroni", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classcodes = "B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math., Cornell Univ., Ithaca, NY, USA", keywords = "boundary-value problems; domain decomposition method; elliptic boundary problems; error analysis; error estimates; estimates; jump discontinuities; multigrid method; multilevel preconditioner; optimal; weighted L/sup 2/ projection", treatment = "T Theoretical or Mathematical", } @Article{Bramley:1991:DDP, author = "R. Bramley and A. Sameh", title = "Domain decomposition for parallel row projection algorithms", journal = j-APPL-NUM-MATH, volume = "8", number = "4--5", pages = "303--315", month = nov, year = "1991", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(91)90071-7", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65Y05 (65F10 65N55)", MRnumber = "1136829 (92g:65152)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics. An IMACS Journal", } @TechReport{Bramley:1991:SOD, author = "Randall Barry Bramley and James Bordner", title = "Sequential optimization and data distribution for {ARC2D} on the {Cedar} hierarchical multiprocessor", type = "Technical Report", number = "CSRD 1128", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "48", month = sep, year = "1991", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", abstract = "The Fortran code ARC2D from the Perfect Benchmark Suite is described, and its optimization for a hierarchical shared memory multiprocessor (Cedar) is presented. First sequential optimizations are described, which reduce the number of floating point operations by 33\% and improve data locality. For the Cedar version, the data is distributed among the cluster memories, instead of placing the data into global memory and simply using Cedar as a 32 processor shared memory machine. The approach is commonly called domain decomposition but is more accurately described as data decomposition or data distribution.", acknowledgement = ack-nhfb, annote = "James Bordner given as second author on P. 1. Supported in part by the U.S. Department of Energy. Supported in part by the National Science Foundation. Supported in part by the U.S. Air Force Office of Scientific Research. Supported in part by AT\&T. Supported in part by Digital Equipment Corporation.", keywords = "Distributed data bases; Multiprocessors; Sequential machine theory", } @InCollection{Bruch:1991:MDD, author = "J. C. {Bruch, Jr.}", booktitle = "{Computational modelling of free and moving boundary problems, Vol.\ 1 (Southampton, 1991)}", title = "Multisplitting and domain decomposition techniques applied to free surface flow through porous media", publisher = "Comput. Mech.", address = "Southampton, UK", pages = "3--20", year = "1991", MRclass = "76M25 (65N55 76S05)", MRnumber = "1162746", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Cai:1991:ASA, author = "Xiao-Chuan Cai", title = "Additive {Schwarz} Algorithms for Parabolic Convection-Diffusion Equations", journal = j-NUM-MATH, volume = "60", number = "1", pages = "41--61", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Carlenzoli:1991:DDA, author = "Claudio Carlenzoli and Paola Zanolli", title = "Domain decomposition approximation to a generalized {Stokes} problem by spectral methods", journal = j-MATH-MODELS-METHODS-APPL-SCI, volume = "1", number = "4", pages = "501--515", year = "1991", CODEN = "MMMSEU", DOI = "https://doi.org/10.1142/S0218202591000253", ISSN = "0218-2025", MRclass = "65N55 (65N35 76D07 76M25)", MRnumber = "1144185 (92i:65182)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematical Models \& Methods in Applied Sciences", } @InProceedings{Chan:1991:APT, author = "Tony F. Chan and Tarek P. Mathew", editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard A. Meurant and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "An Application of the Probing Technique to the Vertex Space Method in Domain Decomposition", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1991", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Chan:1991:DDI, author = "Tony F. Chan and Wei Nan E and Jia Chang Sun", title = "Domain decomposition interface preconditioners for fourth-order elliptic problems", journal = j-APPL-NUM-MATH, volume = "8", number = "4--5", pages = "317--331", month = nov, year = "1991", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(91)90072-8", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N55", MRnumber = "1136830 (92g:65125)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics. An IMACS Journal", } @Article{Chan:1991:EDD, author = "Tony F. Chan and Thomas Y. Hou", title = "Eigendecomposition of Domain Decomposition Interface Operators for Constant Coefficient Elliptic Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", pages = "1471--1479", month = nov, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N22 (65F10)", MRnumber = "92f:65129", bibdate = "Sat Oct 24 13:20:45 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, } @Article{Chan:1991:GRC, author = "Tony F. Chan and Thomas Y. Hou and P. L. Lions", title = "Geometry Related Convergence Results for Domain Decomposition Algorithms", journal = j-SIAM-J-NUMER-ANAL, volume = "28", number = "2", pages = "378--391", month = apr, year = "1991", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N55 (65F30)", MRnumber = "92a:65325", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database", acknowledgement = ack-nhfb, } @InCollection{Cottet:1991:PGD, author = "G.-H. Cottet", booktitle = "{Vortex dynamics and vortex methods (Seattle, WA, 1990)}", title = "Particle-grid domain decomposition methods for the {Navier--Stokes} equations in exterior domains", volume = "28", publisher = pub-AMS, address = pub-AMS:adr, pages = "103--117", year = "1991", MRclass = "76M25 (65N55)", MRnumber = "1146470", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Lectures in Appl. Math.", acknowledgement = ack-nhfb, } @InProceedings{Cowsar:1991:PDDb, author = "Lawrence C. Cowsar and Mary F. Wheeler", editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard A. Meurant and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Proceedings of the Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Parallel Domain Decomposition Method for Mixed Finite Elements for Elliptic Partial Differential Equations", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1991", bibdate = "Wed Aug 31 09:33:27 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cowsar-lawrence-charles.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/cowsar-lawrence-c.bib", acknowledgement = ack-nhfb, } @InProceedings{Dannevik:1991:CMM, author = "W. Dannevik", title = "Computing modeling in a {MIMD} environment", crossref = "IEEE:1991:PSA", pages = "678--??", year = "1991", bibdate = "Wed Apr 15 16:28:01 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/supercomputing91.bib", acknowledgement = ack-nhfb, classification = "A9210D (Dynamics of the deep ocean); A9210F (Dynamics of the upper ocean); A9260B (General circulation); A9260S (Climatology); A9365 (Data acquisition, processing and storage); C6110P (Parallel programming); C7340 (Geophysics)", corpsource = "Lawrence Livermore Nat. Lab., CA, USA", keywords = "1D domain decomposition; 2D decomposition; atmospheric circulation model; atmospheric movements; BBN TC2000 MIMD system; climate model numerical algorithms; climatology; data structure definition; distributed-memory programming models; finite difference models; general circulation models; geophysics computing; load-balancing; message-passing paradigms; MIMD environment; oceanography; parallel efficiency; parallel processing; Semtner-Chervin ocean circulation model; shared-memory programming model; spatial resolution; time-advance algorithm selection", sponsororg = "IEEE; ACM", treatment = "P Practical; T Theoretical or Mathematical", } @InProceedings{Dawson:1991:DDM, author = "Clint N. Dawson and Qiang Du", editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard A. Meurant and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "A Domain Decomposition Method for Parabolic Equations Based on Finite Elements", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1991", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Dawson:1991:FDD, author = "Clint N. Dawson and Qiang Du and Todd F. Dupont", title = "A finite difference domain decomposition algorithm for numerical solution of the heat equation", journal = j-MATH-COMPUT, volume = "57", number = "195", pages = "63--71", month = jul, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N06 (65N55)", MRnumber = "91m:65254", MRreviewer = "Zhong Xiong Pan", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "A4410 (Heat conduction (models, phenomenological description)); A0260 (Numerical approximation and analysis); A0230 (Function theory, analysis)", corpsource = "Dept. of Math., Chicago Univ., IL, USA", keywords = "backward differencing; difference domain decomposition algorithm; difference equations; discretization; finite; heat; heat equation; interior; maximum norm error estimates; numerical; one space dimension; parameters; solution; time steps; two space dimensions; values", treatment = "T Theoretical or Mathematical", } @InProceedings{DeRoeck:1991:ATL, author = "Yann-Herv{\'e} {De Roeck} and Patrick Le Tallec", editor = "Roland Glowinski and Yuri Kuznetsov and G{\'e}rard Meurant and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Analysis and Test of a Local Domain Decomposition Preconditioner", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1991", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @PhdThesis{DeRoeck:1991:ROM, author = "Yann-Herv{\'e} {De Roeck}", title = "{R}{\'e}solution sur Ordinateurs Multi-Processeurs de Probl{\`e}me d'{\'E}lasticit{\'e} par {D}{\'e}composition de Domaines. ({French}) [{Multiprocessor}-computer resolution of the elasticity problem by domain decomposition]", school = "Universit{\'e} Paris IX Daupine", address = "Paris, France", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", language = "French", } @Book{Despres:1991:MDD, author = "Bruno Despr{\'e}s", title = "{M}{\'e}thodes de d{\'e}composition de domaine pour les probl{\`e}mes de propagation d'ondes en r{\'e}gime harmonique. {Le} th{\'e}or{\`e}me de {Borg} pour l'{\'e}quation de {Hill} vectorielle. ({French}) [{Domain}-decomposition methods for the problem of wave propagation in a harmonic regime. {Borg}'s theorem for the vector {Hill} equation]", publisher = "Institut National de Recherche en Informatique et en Automatique (INRIA)", address = "Rocquencourt, France", pages = "vi + 233", year = "1991", ISBN = "2-7261-0706-0", ISBN-13 = "978-2-7261-0706-5", MRclass = "65N55 (00B15 34A55 34L05 78A40)", MRnumber = "1291197 (95f:65215)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Th{\`e}se, Universit{\'e} de Paris IX (Dauphine), Paris, 1991", acknowledgement = ack-nhfb, language = "French", } @PhdThesis{Donato:1991:IMS, author = "June M. Donato", title = "Iterative Methods for Scalar and Coupled Systems of Elliptic Equations", school = "Department of Mathematics, UCLA", month = sep, year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "CAM 91-20", } @Article{Dorr:1991:DDP, author = "Milo R. Dorr", title = "A domain decomposition preconditioner with reduced rank interdomain coupling", journal = j-APPL-NUM-MATH, volume = "8", number = "4--5", pages = "333--352", month = nov, year = "1991", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(91)90073-9", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N55 (65N30)", MRnumber = "1136831 (92g:65127)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics. An IMACS Journal", } @Article{Douglas:1991:TAD, author = "Craig C. Douglas", title = "A tupleware approach to domain decomposition methods", journal = j-APPL-NUM-MATH, volume = "8", number = "4--5", pages = "353--373", month = nov, year = "1991", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(91)90074-A", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N55 (65Y05)", MRnumber = "1136832 (92g:65128)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics. An IMACS Journal", } @InProceedings{Dryja:1991:MAM, author = "Maksymilian Dryja and Olof B. Widlund", editor = "Wolfgang Hackbusch", booktitle = "Parallel Algorithms for Partial Differential Equations, Proceedings of the Sixth GAMM-Seminar, Kiel, January 19--21, 1990", title = "Multilevel Additive Methods for Elliptic Finite Element Problems", volume = "31", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "58--69", year = "1991", MRclass = "65N55 (65N30)", MRnumber = "1167868 (93b:65188)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Notes Numer. Fluid Mech.", acknowledgement = ack-nhfb, } @InProceedings{Dryja:1991:SMP, author = "Maksymilian Dryja", editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard A. Meurant and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Substructuring Methods for Parabolic Problems", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1991", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Ewing:1991:ADD, author = "Richard E. Ewing", title = "Application of domain decomposition techniques in large-scale fluid flow problems", journal = j-APPL-NUM-MATH, volume = "8", number = "4--5", pages = "375--388", month = nov, year = "1991", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(91)90075-B", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "76M25 (76S05 76T05)", MRnumber = "1136833 (92j:76071)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; MathSciNet database", acknowledgement = ack-nhfb, affiliation = "Univ of Wyoming", affiliationaddress = "Laramie, WY, USA", classification = "631; 723; 921; 931", fjournal = "Applied Numerical Mathematics. An IMACS Journal", journalabr = "Appl Numer Math", keywords = "Computers, Supercomputer --- Applications; Domain Decomposition Techniques; Flow Of Fluids; Flow Of Fluids --- Multiphase; Fluid Dynamics --- Computer Simulation; Large Scale Fluid Flow Problems; Local Grid Refinement; Mathematical Models; Mathematical Techniques --- Algorithms; Mathematical Techniques --- Finite Difference Method; Numerical Simulation; Preconditioned Gradient Type Iterative Techniques; Stand Alone Iterative Methods", } @TechReport{Ewing:1991:ASA, author = "Richard E. Ewing and Junping Wang", title = "Analysis of the {Schwarz} Algorithm for Mixed Finite Element Methods", institution = "University of Wyoming", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InBook{Freund:1991:ISL, author = "R. Freund and G. H. Golub and N. Nachtigal", title = "Iterative Solution of Linear Systems", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "57--100", year = "1991", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", series = "Acta Numerica 1992", } @InCollection{Georgiev:1991:DDM, author = "K. Georgiev and S. Margenov", booktitle = "{Computer arithmetic, scientific computation and mathematical modelling (Albena, 1990)}", title = "On domain decomposition methods for problems with discontinuous coefficients", volume = "12", publisher = "Baltzer", address = "Basel, Switzerland", pages = "281--292", year = "1991", MRclass = "65N55 (65F10 65N22 65N30)", MRnumber = "1189148", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "IMACS Ann. Comput. Appl. Math.", acknowledgement = ack-nhfb, } @Article{Goovaerts:1991:ESD, author = "D. Goovaerts and T. F. Chan and Robert Piessens", title = "The eigenvalue spectrum of domain decomposed preconditioners", journal = j-APPL-NUM-MATH, volume = "8", number = "4--5", pages = "389--410", year = "1991", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(91)90076-C", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N55 (65F15)", MRnumber = "1136834 (92g:65130)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics. An IMACS Journal", } @InProceedings{Gropp:1991:PDD, author = "William D. Gropp and David E. Keyes", editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard A. Meurant and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Parallel Domain Decomposition and the Solution of Nonlinear Systems of Equations", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1991", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Haase:1991:ADDa, author = "G. Haase and U. Langer and A. Meyer", title = "The Approximate {Dirichlet} Domain Decomposition Method. {Part I}: An Algebraic Approach", journal = j-COMPUTING, volume = "47", number = "2", pages = "137--151", year = "1991", CODEN = "CMPTA2", DOI = "https://doi.org/10.1007/BF02253431", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65N55 (65F10 65N22)", MRnumber = "1139433 (93e:65146a)", MRreviewer = "Jan Mandel", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "Compendex database; http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/computing.bib; MathSciNet database; OCLC Contents1st database", acknowledgement = ack-nhfb, affiliation = "Technical Univ of Chemnitz", affiliationaddress = "Chemnitz, Germany", classification = "723; 921", fjournal = "Computing. Archives for Scientific Computing", journalabr = "Comput Vienna New York", keywords = "Computer Systems Programming --- Multiprocessing Programs; Conjugate Gradient Methods; Dirichlet Problems; Domain Decomposition; Mathematical Techniques; Mathematical Techniques --- Boundary Value Problems", } @Article{Haase:1991:ADDb, author = "G. Haase and U. Langer and A. Meyer", title = "The Approximate {Dirichlet} Domain Decomposition Method. {Part II}: Applications to $2$nd-order Elliptic {B.V.P.s}", journal = j-COMPUTING, volume = "47", number = "2", pages = "153--167", year = "1991", CODEN = "CMPTA2", DOI = "https://doi.org/10.1007/BF02253432", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65N55 (65F10 65N22)", MRnumber = "1139434 (93e:65146b)", MRreviewer = "Jan Mandel", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "Compendex database; http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/computing.bib; MathSciNet database; OCLC Contents1st database", acknowledgement = ack-nhfb, affiliation = "Technical Univ of Chemnitz", affiliationaddress = "Chemnitz, Germany", classification = "723; 921", fjournal = "Computing. Archives for Scientific Computing", journalabr = "Comput Vienna New York", keywords = "Computer Systems Programming --- Multiprocessing Programs; Domain Decomposition; Mathematical Techniques; Mathematical Techniques --- Boundary Value Problems", } @InCollection{Haase:1991:UMP, author = "G. Haase and U. Langer", booktitle = "{Parallel algorithms for partial differential equations (Kiel, 1990)}", title = "On the use of multigrid preconditioners in the domain decomposition method", volume = "31", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "101--110", year = "1991", MRclass = "65N55 (65F35 65N30)", MRnumber = "1167871", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Notes Numer. Fluid Mech.", acknowledgement = ack-nhfb, } @TechReport{Hackbusch:1991:FDM, author = "Wolfgang Hackbusch", title = "The Frequency Decomposition Multi-Grid Method, Part {II}: Convergence Analysis Based on the Additive {Schwarz} Method", institution = "Christian-Albrecht-Universit\H{a}t, Kiel, Germany", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Hu:1991:PSE, author = "Xian Cheng Hu and De Lin Chu", title = "A preconditioner for solving elliptic problems based on domain decomposition", journal = "J. Tsinghua Univ.", volume = "31", number = "6", pages = "12--19", year = "1991", CODEN = "QDXKE8", ISSN = "1000-0054", MRclass = "65N55", MRnumber = "1169004 (93d:65107)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Tsinghua University. Science and Technology. Qinghua Daxue Xuebao. Ziran Kexue Ban", } @Article{Ilin:1991:AIF, author = "V. P. Il{\cprime}in", title = "Application of incomplete factorizations in domain decomposition methods", journal = "Soviet J. Numer. Anal. Math. Modelling", volume = "6", number = "4", pages = "299--314", year = "1991", ISSN = "0169-2895", MRclass = "65N55 (65N12)", MRnumber = "1136530 (92h:65184)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Soviet Journal of Numerical Analysis and Mathematical Modelling", } @Article{Jung:1991:AMM, author = "Michael Jung and Ulrich Langer", title = "Applications of multilevel methods to practical problems", journal = "Surveys Math. Indust.", volume = "1", number = "3", pages = "217--257", year = "1991", CODEN = "SMINER", ISSN = "0938-1953", MRclass = "65N55 (65N30 65Y05 73V05 78-08)", MRnumber = "1144247 (92i:65185)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Surveys on Mathematics for Industry", } @Article{Kamenetskii:1991:BEP, author = "D. S. Kamenetski{\u\i} and V. S. Ryaben{\cprime}ki{\u\i} and S. V. Tsynkov", title = "Boundary equations with projectors in composite domains", journal = "Akad. Nauk SSSR Inst. Prikl. Mat. Preprint", volume = "112", number = "??", pages = "20", year = "1991", MRclass = "65N55", MRnumber = "1278545 (94m:65187)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Akademiya Nauk SSSR. Institut Prikladno\u\i\ Matematiki. Preprint", } @Article{Kamenetskii:1991:DAB, author = "D. S. Kamenetski{\u\i} and V. S. Ryaben{\cprime}ki{\u\i} and S. V. Tsynkov", title = "Decomposition algorithms based on boundary equations with projectors", journal = "Akad. Nauk SSSR Inst. Prikl. Mat. Preprint", volume = "113", number = "??", pages = "23", year = "1991", MRclass = "65N55", MRnumber = "1278546 (95e:65117)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Akademiya Nauk SSSR. Institut Prikladno\u\i\ Matematiki. Preprint", } @InCollection{Kiss:1991:PDD, author = "B{\'e}la Kiss and Gy{\H{o}}z{\H{o}} Moln{\'a}rka", booktitle = "{Parallel algorithms for partial differential equations (Kiel, 1990)}", title = "A preconditioned domain decomposition algorithm for the solution of the elliptic {Neumann} problem", volume = "31", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "129--139", year = "1991", MRclass = "65N55 (65F35 65N30 65Y05)", MRnumber = "1167874 (93a:65172)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Notes Numer. Fluid Mech.", acknowledgement = ack-nhfb, } @InCollection{Kojima:1991:IMF, author = "Fumio Kojima", booktitle = "{Computation and control, II (Bozeman, MT, 1990)}", title = "Identification of microscopic flaws arising in thermal tomography by domain decomposition method", volume = "11", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "237--245", year = "1991", MRclass = "93B30", MRnumber = "1140025", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Progr. Systems Control Theory", acknowledgement = ack-nhfb, } @InCollection{Kolodziej:1991:DDB, author = "Jan A. Ko{\l}odziej and Grzegorz Musielak", booktitle = "{Parallel algorithms for partial differential equations (Kiel, 1990)}", title = "Domain decomposition in boundary collocation method", volume = "31", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "140--156", year = "1991", MRclass = "65N55 (65N35)", MRnumber = "1167875", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Notes Numer. Fluid Mech.", acknowledgement = ack-nhfb, } @Article{Kuznetsov:1991:MDD, author = "S. B. Kuznetsov", title = "A method of domain decomposition in {$3$-D} problems of magnetostatics", journal = "EDF Bull. Direction {\'E}tudes Rech. S{\'e}r. C Math. Inform.", volume = "4", number = "??", pages = "iii + 17--22", year = "1991", ISSN = "0013-4511", MRclass = "35Q60 (78-08 78A30)", MRnumber = "1150858", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "{\'E}lectricit{\'e} de France. Bulletin de la Direction des {\'E}tudes et Recherches. S{\'e}rie C. Math{\'e}matiques. Informatique", } @InProceedings{Kuznetsov:1991:ODD, author = "Yuri A. Kuznetsov", editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard A. Meurant and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Overlapping Domain Decomposition Methods for {FE}-Problems with Elliptic Singular Perturbed Operators", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1991", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Lu:1991:PAV, author = "Tao L{\"u} and Chin Bo Liem and Tsi Min Shih", title = "Parallel algorithms for variational inequalities based on domain decomposition", journal = "Systems Sci. Math. Sci.", volume = "4", number = "4", pages = "341--348", year = "1991", CODEN = "SMASE2", ISSN = "1000-9590", MRclass = "49J40 (47H19 49M27 65K10 65Y05)", MRnumber = "1142773 (93b:49010)", MRreviewer = "Ya. I. Al{\cprime}ber", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Systems Science and Mathematical Sciences", } @Article{Mandel:1991:DDP, author = "Jan Mandel and G. Scott Lett", title = "Domain decomposition preconditioning for {$p$}-version finite elements with high aspect ratios", journal = j-APPL-NUM-MATH, volume = "8", number = "4--5", pages = "411--425", year = "1991", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(91)90077-D", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N55 (65N30 65Y05)", MRnumber = "1136835 (93c:65154)", MRreviewer = "Lutz Tobiska", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics. An IMACS Journal", } @Book{Marchuk:1991:VPS, editor = "G. I. Marchuk", title = "Vychislitelnye protsessy i sistemy. {Vyp}. 8", publisher = "Nauka", address = "Moscow, Russia", pages = "382", year = "1991", ISBN = "5-02-014291-3", ISBN-13 = "978-5-02-014291-6", MRclass = "65-06", MRnumber = "1151878 (92i:65008)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Meddahi:1991:DDM, author = "S. Meddahi and F. Gaspar", booktitle = "{Proceedings of the XII Congress on Differential Equations and Applications/II Congress on Applied Mathematics (Spanish) (Oviedo, 1991)}", title = "A domain-decomposition method for a linear parabolic problem", publisher = "Universidad de Oviedo", address = "Oviedo, Spain", pages = "251--256", year = "1991", MRclass = "65N55 (65M55)", MRnumber = "1202464 (93j:65204)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Meurant:1991:DDM, author = "G{\'e}rard A. Meurant", title = "A domain decomposition method for parabolic problems", journal = j-APPL-NUM-MATH, volume = "8", number = "4--5", pages = "427--441", month = nov, year = "1991", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(91)90078-E", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65M55 (65M06)", MRnumber = "1136836 (93c:65113)", MRreviewer = "Lutz Tobiska", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applied Numerical Mathematics. An IMACS Journal", } @InProceedings{Meurant:1991:NED, author = "G{\'e}rard A. Meurant", editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard A. Meurant and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Numerical Experiments with a Domain Decomposition Method for Parabolic Problems on Parallel Computers", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1991", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Miellou:1991:SDM, author = "J.-C. Miellou and L. Giraud and A. Laouar and P. Spiteri", booktitle = "{Progress in partial differential equations: the Metz surveys}", title = "Subdomain decomposition methods with overlapping and asynchronous iterations", volume = "249", publisher = "Longman Sci. Tech.", address = "Harlow, UK", pages = "166--183", year = "1991", MRclass = "65N55", MRnumber = "1251562 (94h:65125)", MRreviewer = "Beny Neta", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Pitman Res. Notes Math. Ser.", acknowledgement = ack-nhfb, } @InProceedings{Nepomnyaschikh:1991:ADD, author = "Sergey V. Nepomnyaschikh", editor = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard A. Meurant and Jacques P{\'e}riaux and Olof Widlund", booktitle = "Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Application of Domain Decomposition to Elliptic Problems on with Discontinuous Coefficients", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1991", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Nepomnyaschikh:1991:ETC, author = "Sergey V. Nepomnyaschikh and Olof B. Widlund", title = "Extension Theorems for the Case of Locally Refined Meshes", number = "", institution = "Dept. of Computer Science, Courant Institute of Mathematical Sciences", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear", } @Article{NKaoua:1991:SNR, author = "T. N'Kaoua", title = "Solution of the nonlinear radiative transfer equations by a fully implicit matrix {Monte Carlo} method coupled with the {Rosseland} diffusion equation via domain decomposition", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "3", pages = "505--520", month = may, year = "1991", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "85A25 (65C05 85-04)", MRnumber = "91k:85011", bibdate = "Tue Apr 29 19:18:28 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, classification = "A0540 (Fluctuation phenomena, random processes, and Brownian motion); A0560 (Transport processes: theory); A4440 (Heat radiation)", corpsource = "Dept. de Math. Appliqu{\'e}es, CEA, Villeneuve Saint-Georges, France", keywords = "diffusion; domain decomposition; energy balance equation; fully implicit matrix Monte Carlo method; heat transfer; Monte Carlo methods; nonlinear radiative transfer equations; particle tracking; radiative transfer; Rosseland diffusion equation", treatment = "T Theoretical or Mathematical", } @TechReport{Oswald:1991:BPP, author = "Peter Oswald", title = "On a {BPX}-Preconditioner For {P}1 Elements", number = "Math./91/2", institution = "Friedrich Schiller Universit\H{a}t, Jena, Germany", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "(part 2)", } @InProceedings{Oswald:1991:DNE, author = "Peter Oswald", booktitle = "Proc. Int. Conf. Theory of Functions, Varna 91", title = "On Discrete Norm Estimates Related to Multilevel Preconditioners in the Finite Element Method", publisher = "????", address = "????", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear", } @TechReport{Oswald:1991:MPA, author = "Peter Oswald", title = "On multilevel preconditioners adapted to a variable coefficient problem", number = "Math./91/1", institution = "Friedrich Schiller Universit\H{a}t, Jena, Germany", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Oswald:1991:PDB, author = "Peter Oswald", title = "Preconditioners for discretizations of the biharmonic equation by rectangular finite elements", institution = "Friedrich Schiller Universit\H{a}t, Jena, Germany", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Oswald:1991:TRM, author = "Peter Oswald", title = "Two remarks on multilevel preconditioners", number = "Math./91/2", institution = "Friedrich Schiller Universit\H{a}t, Jena, Germany", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "(part 2)", } @InCollection{Papadopoulos:1991:DDF, author = "C. A. Papadopoulos and K.-P. Wang and J. M. Sloss and J. C. {Bruch, Jr.}", booktitle = "{Computational modelling of free and moving boundary problems, Vol.\ 1 (Southampton, 1991)}", title = "Domain decomposition for free boundary seepage", publisher = "Comput. Mech.", address = "Southampton, UK", pages = "37--48", year = "1991", MRclass = "76M25 (65N55 76S05)", MRnumber = "1162748", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Pasquarelli:1991:DDS, author = "Franco Pasquarelli", title = "Domain decomposition for spectral approximation to {Stokes} equations via divergence-free functions", journal = j-APPL-NUM-MATH, volume = "8", number = "6", pages = "493--514", month = dec, year = "1991", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(91)90111-C", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N55 (65N30 65N35 76D07 76M25)", MRnumber = "1140285 (92i:65188)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; MathSciNet database", acknowledgement = ack-nhfb, affiliation = "Univ Cattolica", affiliationaddress = "Brescia, Italy", classification = "921.6", fjournal = "Applied Numerical Mathematics. An IMACS Journal", journalabr = "Appl Numer Math", keywords = "Diversion-Free Functions; Domain Decomposition; Galerkin Approach; Mathematical Techniques; Mathematical Techniques --- Function Evaluation; Numerical Methods; Spectral Approximation; Spectrum Analysis --- Calculations; Stokes Equations", } @TechReport{Pavarino:1991:ASM, author = "Luca F. Pavarino", title = "An Additive {Schwarz} Method for the p-version Finite Element Method", number = "580", institution = "Courant Institute of Mathematical Sciences, Department of Computer Science", month = sep, year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "A revised version has been submitted to Numer. Math.", } @Article{Quarteroni:1991:CVI, author = "A. Quarteroni and G. Sacchi Landriani and A. Valli", title = "Coupling of viscous and inviscid {Stokes} equations via a domain decomposition method for finite elements", journal = j-NUM-MATH, volume = "59", number = "8", pages = "831--859", month = oct, year = "1991", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65N30 76D05 76M10)", MRnumber = "93b:65190", MRreviewer = "Charles I. Goldstein", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A4710 (General theory, simulation and other computational methods); C4170 (Differential equations); C4185 (Finite element analysis); C7320 (Physics and Chemistry)", corpsource = "Istituto di Analisi Numerica, CNR, Pavia, Italy", keywords = "convergence analysis; convergence of numerical methods; domain decomposition method; finite element analysis; finite elements; generalized Stokes problem; inviscid Stokes equations; iteration-by-subdomain algorithms; iterative procedure; Navier--Stokes equations; numerical discretization; physics computing; stability; viscosity", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Quarteroni:1991:DDP, author = "Alfio Quarteroni", title = "Domain decomposition and parallel processing for the numerical solution of partial differential equations", journal = "Surveys Math. Indust.", volume = "1", number = "1", pages = "75--118", year = "1991", CODEN = "SMINER", ISSN = "0938-1953", MRclass = "65N55 (65N30 65Y05 76M25)", MRnumber = "1133619 (92i:65189)", MRreviewer = "Timothy Nigel Phillips", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Surveys on Mathematics for Industry", } @InCollection{Quarteroni:1991:TAS, author = "A. Quarteroni and A. Valli", booktitle = "{Applied and industrial mathematics (Venice, 1989)}", title = "Theory and application of {Steklov--Poincar{\'e}} operators for boundary-value problems", volume = "56", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "179--203", year = "1991", MRclass = "35J30 (35Q30 65N55 76D07 76M99)", MRnumber = "1147198 (92m:35069)", MRreviewer = "I. Aganovi{\'c}", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Math. Appl.", acknowledgement = ack-nhfb, } @InCollection{Sbosny:1991:DDM, author = "Hannes Sbosny", booktitle = "{Multigrid methods: special topics and applications, II (Bonn, 1990)}", title = "Domain decomposition methods and parallel multigrid algorithms", volume = "189", publisher = "Gesellsch. Math. Datenverarbeitung", address = "St. Augustin, Switzerland", pages = "297--308", year = "1991", MRclass = "65N55 (65Y05)", MRnumber = "1142834", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "GMD-Stud.", acknowledgement = ack-nhfb, } @InCollection{Sbosny:1991:PMU, author = "Hannes Sbosny and Kristian Witsch", booktitle = "{Parallel algorithms for partial differential equations (Kiel, 1990)}", title = "Parallel multigrid using domain decomposition", volume = "31", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "200--215", year = "1991", MRclass = "65N55 (65N30 65Y05)", MRnumber = "1167879 (93a:65173)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Notes Numer. Fluid Mech.", acknowledgement = ack-nhfb, } @Article{Scroggs:1991:PMD, author = "Jeffrey S. Scroggs", title = "A physically motivated domain decomposition for singularly perturbed equations", journal = j-SIAM-J-NUMER-ANAL, volume = "28", number = "1", pages = "168--178", month = feb, year = "1991", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65M55 (65N55 76H05 76M25)", MRnumber = "91m:65245", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; JSTOR database", acknowledgement = ack-nhfb, } @Article{Smith:1991:DDA, author = "Barry F. Smith", title = "A Domain Decomposition Algorithm for Elliptic Problems in Three Dimensions", journal = j-NUM-MATH, volume = "60", number = "2", pages = "219--234", month = nov, year = "1991", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385722", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65F10)", MRnumber = "1133580 (92m:65159)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib; MathSciNet database", acknowledgement = ack-nhfb, classification = "C4185 (Finite element analysis)", corpsource = "Argonne Nat. Lab., IL, USA", fjournal = "Numerische Mathematik", keyword = "domain decomposition, wirebasket methods, iterative substructuring", keywords = "domain decomposition; elliptic problems; finite element analysis; iterative methods; potential parallelism; substructuring algorithm; three dimensions", treatment = "T Theoretical or Mathematical", } @Book{Szabo:1991:FEA, author = "Barna Szab{\'o} and Ivo Babu{\v{s}}ka", title = "Finite Element Analysis", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xv + 368", year = "1991", ISBN = "0-471-50273-1", ISBN-13 = "978-0-471-50273-9", LCCN = "TA347.F5 S98 1991", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Tallec:1991:DDM, author = "Patrick Le Tallec and Yann-Herv{\'e} De Roeck and Marina Vidrascu", title = "Domain-decomposition methods for large linearly elliptic three dimensional problems", journal = j-COMP-APPL-MATH, volume = "34", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Elsevier Science Publishers, Amsterdam", } @InCollection{Thomas:1991:DDE, author = "J.-M. Thomas", booktitle = "{Math{\'e}matiques appliqu{\'e}es aux sciences de l'ing{\'e}nieur (Santiago, 1989)}. ({French}) [{Applied} mathematics in engineering science]", title = "{D}{\'e}composition de domaines et {\'e}l{\'e}ments finis. ({French}) [{Domain} decomposition and finite elements]", publisher = "C{\'e}padu{\`e}s", address = "Toulouse, France", pages = "395--410", year = "1991", MRclass = "65N55 (65N30)", MRnumber = "1142633 (92m:65160)", MRreviewer = "O. Widlund", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, language = "French", } @Article{Tong:1991:DDP, author = "Charles H. Tong and Tony F. Chan and C. C. Jay Kuo", title = "A Domain Decomposition Preconditioner Based on a Change to a Multilevel Nodal Basis", journal = j-SIAM-J-SCI-STAT-COMP, volume = "12", number = "6", year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Trompert:1991:SRM, author = "R. A. Trompert and J. G. Verwer", title = "A static-regridding method for two-dimensional parabolic partial differential equations", journal = j-APPL-NUM-MATH, volume = "8", number = "1", pages = "65--90", month = aug, year = "1991", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65M50", MRnumber = "92h:65146", bibdate = "Sat Feb 8 10:10:32 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", acknowledgement = ack-nhfb, affiliation = "Centre for Mathematics and Computer Science", affiliationaddress = "Amsterdam, Neth", classification = "521; 723; 921", journalabr = "Appl Numer Math", keywords = "Combustion; Computers--Applications; Domain Decomposition; Mathematical Models; Mathematical Techniques--Differential Equations; Partial Differential Equations; Static Regridding Method; Subdomains", } @Article{Vabishchevich:1991:NSE, author = "P. N. Vabishchevich", title = "Numerical solution of elliptic boundary value problems on composite grids", journal = "Mat. Model.", volume = "3", number = "8", pages = "112--123", year = "1991", ISSN = "0234-0879", MRclass = "65N55", MRnumber = "1157314 (92m:65161)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Matematicheskoe Modelirovanie", } @Article{Xu:1991:CCW, author = "Jinchao Xu", title = "Counterexamples concerning a weighted ${L}^2$ projection", journal = j-MATH-COMPUT, volume = "57", number = "196", pages = "563--568", month = oct, year = "1991", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N30 (65M60)", MRnumber = "92b:65090", MRreviewer = "J. T. Oden", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, classcodes = "B0290T (Finite element analysis); B0290B (Error analysis in numerical methods); C4185 (Finite element analysis); C4110 (Error analysis in numerical methods)", corpsource = "Pennsylvania State Univ., University Park, PA, USA", keywords = "error analysis; finite element analysis; L/sup 2/-projection; stability estimates", treatment = "T Theoretical or Mathematical", } @Article{Zhang:1991:MML, author = "Sheng Zhang and Hong Ci Huang", title = "Multigrid multi-level domain decomposition", journal = j-J-COMP-MATH, volume = "9", number = "1", pages = "17--27", year = "1991", CODEN = "JCMMEB", ISSN = "0254-9409", MRclass = "65N55", MRnumber = "1150162 (92m:65162)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Mathematics. An International Journal on Numerical Methods, Analysis and Applications", } @PhdThesis{Zhang:1991:SDD, author = "Xuejun Zhang", title = "Studies in Domain Decomposition: Multilevel Methods and the Biharmonic {Dirichlet} Problem", number = "584", institution = "Courant Institute of Mathematical Sciences, Department of Mathematics", school = "Courant Institute, New York University", month = sep, year = "1991", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Baiocchi:1992:SGM, author = "C. Baiocchi and F. Brezzi and L. D. Marini", booktitle = "{Future tendencies in computer science, control and applied mathematics (Paris, 1992)}", title = "Stabilization of {Galerkin} methods and applications to domain decomposition", volume = "653", publisher = pub-SV, address = pub-SV:adr, pages = "345--355", year = "1992", MRclass = "65N12 (65N55)", MRnumber = "1228218 (94g:65119)", MRreviewer = "Dietrich Braess", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Lecture Notes in Comput. Sci.", acknowledgement = ack-nhfb, } @InCollection{Beckie:1992:MAD, author = "R. Beckie and E. F. Wood and A. A. Aldama", booktitle = "{Computational methods in water resources, IX, Vol. 1 (Denver, CO, 1992)}", title = "A multigrid acceleration for domain decomposition mixed finite element simulation of groundwater flow", publisher = "Comput. Mech.", address = "Southampton, UK", pages = "589--596", year = "1992", MRclass = "76M10 (76S05 86-08)", MRnumber = "1195368", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Bjorstad:1992:DDA, author = "Petter E. Bj{\o}rstad and Morten Skogen", editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A. Meurant and Jeffrey S. Scroggs and Robert G. Voigt", booktitle = "Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Domain Decomposition Algorithms of {Schwarz} Type, Designed for Massively Parallel Computers", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1992", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Black:1992:PCU, author = "Kelly Black", title = "Polynomial collocation using a domain decomposition solution to parabolic {PDEs} via the penalty method and explicit/implicit time marching", journal = j-J-SCI-COMPUT, volume = "7", number = "4", pages = "313--338", year = "1992", CODEN = "JSCOEB", DOI = "https://doi.org/10.1007/BF01108035", ISSN = "0885-7474 (print), 1573-7691 (electronic)", ISSN-L = "0885-7474", MRclass = "65M55 (80-08 80A20)", MRnumber = "1214932 (93k:65076)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Scientific Computing", } @InCollection{Boglaev:1992:DDT, author = "I. P. Boglaev and V. V. Sirotkin", booktitle = "{Computational and applied mathematics, II (Dublin, 1991)}", title = "Domain decomposition technique for singularly perturbed problems and its parallel implementation", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "259--268", year = "1992", MRclass = "65N55 (65L10)", MRnumber = "1204690 (94a:65063)", MRreviewer = "Relja Vulanovi{\'c}", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @TechReport{Bornemann:1992:BNE, author = "Folkmar Bornemann and Harry Yserentant", title = "A Basic Norm Equivalence for the Theory of Multilevel Methods", institution = "Zuse-Zentrum, Berlin", year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Submitted to Numer. Math", } @Article{Bramble:1992:DDM, author = "James H. Bramble and Richard E. Ewing and Rossen R. Parashkevov and Joseph E. Pasciak", title = "Domain Decomposition Methods for Problems with Partial Refinement", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "397--410", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65F10)", MRnumber = "92i:65179", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, } @Article{Brezzi:1992:SGM, author = "F. Brezzi and C. Baiocchi and L. D. Marini", title = "Stabilization of {Galerkin} methods and applications to domain decomposition", journal = j-LECT-NOTES-COMP-SCI, volume = "653", pages = "345--??", year = "1992", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Mon May 13 11:46:24 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1992.bib", acknowledgement = ack-nhfb, } @Article{Cai:1992:CRE, author = "Xiao-Chuan Cai and William D. Gropp and David E. Keyes", title = "Convergence rate estimate for a domain decomposition method", journal = j-NUM-MATH, volume = "61", number = "2", pages = "153--169", month = mar, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65N12 65N30)", MRnumber = "92k:65181", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, classification = "B0290T (Finite element analysis); C4185 (Finite element analysis)", corpsource = "Dept. of Math., Kentucky Univ., Lexington, KY, USA", keywords = "algebraic equations; convergence of numerical methods; convergence rate analysis; convergence rate estimate; Dirichlet boundary conditions; domain decomposition method; finite element analysis; finite element discretization; indefinite elliptic problems; mesh size; preconditioned GMRES method; substructures", treatment = "T Theoretical or Mathematical", } @InProceedings{Cai:1992:CSD, author = "Xiao-Chuan Cai and William D. Gropp and David E. Keyes", editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A. Meurant and Jeffrey S. Scroggs and Robert G. Voigt", booktitle = "Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "A Comparison of Some Domain Decomposition Algorithms for Nonsymmetric Elliptic Problems", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1992", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Cai:1992:DDA, author = "Xiao-Chuan Cai and Olof Widlund", title = "Domain Decomposition Algorithms for Indefinite Elliptic Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "243--258", month = jan, year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Cao:1992:FAP, author = "Zhi Hao Cao", title = "{Fourier} analysis of preconditioners for domain decomposition", journal = "Numer. Math. J. Chinese Univ.", volume = "14", number = "3", pages = "253--258", year = "1992", ISSN = "1000-081X", MRclass = "65N55 (65T99)", MRnumber = "1260626 (94m:65186)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Mathematics. A Journal of Chinese Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao", } @TechReport{Chan:1992:EVV, author = "Tony F. Chan and Tarek P. Mathew and Jian-Ping Shao", title = "Efficient Variants of the Vertex Space Domain Decomposition Algorithm", number = "CAM 92-07", institution = "Department of Mathematics, UCLA", month = jan, year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear in SIAM J. Scientific and Statistical Computing", } @Article{Chan:1992:IPT, author = "Tony F. Chan and Tarek P. Mathew", title = "The Interface Probing Technique in Domain Decomposition", journal = j-SIAM-J-MAT-ANA-APPL, volume = "13", number = "1", pages = "212--238", year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Chan:1992:RBO, author = "Tony F. Chan and Danny Goovaerts", title = "On the Relationship between Overlapping and Nonoverlapping Domain Decomposition Methods", journal = j-SIAM-J-MAT-ANA-APPL, volume = "13", number = "2", pages = "663--670", month = apr, year = "1992", CODEN = "SJMAEL", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65N55 (65F10)", MRnumber = "93a:65170", bibdate = "Tue Jan 21 08:54:30 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib", acknowledgement = ack-nhfb, } @Article{Chu:1992:CPB, author = "De Lin Chu and Xian Cheng Hu", title = "Construction of a preconditioner based on domain decomposition for solving elliptic problems", journal = "Numer. Math. J. Chinese Univ.", volume = "14", number = "4", pages = "363--371", year = "1992", ISSN = "1000-081X", MRclass = "65N55 (65Y05)", MRnumber = "1229271 (94f:65118)", MRreviewer = "Min Sun", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Mathematics. A Journal of Chinese Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao", } @Unpublished{Cowsar:1992:BDD, author = "Lawrence Cowsar and Jan Mandel and Mary F. Wheeler", title = "Balancing Domain Decomposition for Mixed Problems in Oil Reservoir Simulation", year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Presented at the 6th International Symposium on Domain Decomposition Methods, Como, Italy, 1992", } @InProceedings{Cowsar:1992:DPT, author = "L. C. Cowsar and E. J. Dean and R. Glowinski and P. Le Tallec and C. H. Li and J. P{\'e}riaux and M. F. Wheeler", booktitle = "{Parallel processing for scientific computing (Houston, TX, 1991)}", title = "Decomposition principles and their applications in scientific computing", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "213--237", year = "1992", MRclass = "65N55 (65K10 65N22 65Y05)", MRnumber = "1194910 (93j:65200)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Cowsar:1992:PMD, author = "Lawrence C. Cowsar and Alan Weiser and Mary F. Wheeler", editor = "David E. Keyes and Tony F. Chan and G{\'e}rard Meurant and Jeffrey S. Scroggs and Robert G. Voigt", booktitle = "{Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations (Norfolk, VA, 1991)}", title = "Parallel Multigrid and Domain Decomposition Algorithms for Elliptic Equations", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "376--385", year = "1992", ISBN = "0-89871-288-2", ISBN-13 = "978-0-89871-288-9", LCCN = "QA402.2 .I57 1991", MRclass = "65N55 (65Y05)", MRnumber = "1189588", bibdate = "Tue Sep 21 21:25:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/cowsar-lawrence-charles.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/cowsar-lawrence-c.bib", acknowledgement = ack-nhfb, alleditor = "David E. Keyes and Tony F. Chan and G{\'e}rard Meurant and Jeffrey Scroggs and Robert G. Voigt", bookpages = "xiii + 623", xxeditor = "Tony F. Chan and David E. Keyes and G{\'e}rard A. Meurant and Jeffrey S. Scroggs and Robert G. Voigt", } @Article{Dawson:1992:EIC, author = "Clint N. Dawson and Todd F. Dupont", title = "Explicit\slash implicit conservative {Galerkin} domain decomposition procedures for parabolic problems", journal = j-MATH-COMPUT, volume = "58", number = "197", pages = "21--34", month = jan, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N55 (65N30)", MRnumber = "92h:65183", MRreviewer = "T. R. Hopkins", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib; JSTOR database", acknowledgement = ack-nhfb, } @InCollection{DeValerio:1992:DDM, author = "M. {De Valerio} and M. Sch{\"a}fer", booktitle = "{Parallel computing '91 (London, 1991)}", title = "Domain decomposition methods for the numerical solution of elliptic partial differential equations on array processors", volume = "4", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "167--173", year = "1992", MRclass = "65N55 (65Y05)", MRnumber = "1193749", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Adv. Parallel Comput.", acknowledgement = ack-nhfb, } @Book{dHennezel:1992:MDD, author = "Fr{\'e}d{\'e}ric d'Hennezel", title = "{M}{\'e}thodes de d{\'e}composition de domaine dans les structures et les multistructures {\'e}lastiques. ({French}) [{Domain}-decomposition methods in structures and multistructures]", publisher = "Institut National de Recherche en Informatique et en Automatique (INRIA)", address = "Rocquencourt, France", pages = "158", year = "1992", ISBN = "2-7261-0725-7", ISBN-13 = "978-2-7261-0725-6", MRclass = "73V20 (65N55 73C99 73K99)", MRnumber = "1346303 (96e:73091)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Th{\`e}se, Universit{\'e} Paris VI, Paris, 1992", acknowledgement = ack-nhfb, language = "French", } @Article{Douglas:1992:MMD, author = "Craig C. Douglas", title = "{MGNet}: a multigrid and domain decomposition network", journal = j-SIGNUM, volume = "27", number = "4", pages = "2--8", month = oct, year = "1992", CODEN = "SNEWD6", ISSN = "0163-5778 (print), 1558-0237 (electronic)", bibdate = "Tue Apr 12 07:50:22 MDT 2005", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/signum.bib", acknowledgement = ack-nhfb, } @InProceedings{Dryja:1992:ASM, author = "Maksymilian Dryja and Olof B. Widlund", editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A. Meurant and Jeffrey S. Scroggs and Robert G. Voigt", booktitle = "Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Additive {Schwarz} Methods for Elliptic Finite Element Problems in Three Dimensions", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1992", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Dryja:1992:DDA, author = "Maksymilian Dryja and Olof B. Widlund", title = "Domain Decomposition Algorithms with Small Overlap", number = "606", institution = "Department of Computer Science, Courant Institute", month = may, year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear in SIAM J. Sci. Stat. Comput.", } @Article{Farhat:1992:UDD, author = "Charbel Farhat and Fran{\c{c}}ois-Xavier Roux", title = "An Unconventional Domain Decomposition Method for an Efficient Parallel Solution of Large-Scale Finite Element Systems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "379--396", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65N30 65Y05)", MRnumber = "92g:65129", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, } @Article{Gastaldi:1992:DDM, author = "Lucia Gastaldi", title = "A domain decomposition method associated with the streamline diffusion {FEM} for linear hyperbolic systems", journal = j-APPL-NUM-MATH, volume = "10", number = "5", pages = "357--380", month = oct, year = "1992", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65M55 (76M10 76M20)", MRnumber = "93j:65144", MRreviewer = "Hong Yuan Fu", bibdate = "Sat Feb 8 10:09:54 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", acknowledgement = ack-nhfb, } @Article{Gropp:1992:DDL, author = "William D. Gropp and David E. Keyes", title = "Domain Decomposition with Local Mesh Refinement", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "4", pages = "967--993", month = jul, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "65N55 (65Y05)", MRnumber = "93b:65189", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, } @TechReport{Gropp:1992:EDDa, author = "William D. Gropp and Barry F. Smith", title = "Experiences with Domain Decomposition in Three Dimensions: Overlapping {Schwarz} Methods", institution = "Mathematics and Computer Science Division, Argonne National Laboratory", year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear in the Proceedings of the Sixth International Symposium on Domain Decomposition Methods", } @InProceedings{Gropp:1992:EDDb, author = "William D. Gropp and Barry F. Smith", booktitle = "Domain Decomposition Methods in Science and Engineering", title = "Experiences with Domain Decomposition in Three Dimensions: Overlapping {S}chwarz Methods", publisher = pub-AMS, address = pub-AMS:adr, pages = "323--333", year = "1992", ISBN = "0-8218-5158-6", ISBN-13 = "978-0-8218-5158-6", bibdate = "Mon Jul 11 14:09:33 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/smith-barry-francis.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/smith-barry-francis.bib", acknowledgement = ack-nhfb, keyword = "Schwarz methods, parallel computing", } @InProceedings{Gropp:1992:PCD, author = "William D. Gropp", editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A. Meurant and Jeffrey S. Scroggs and Robert G. Voigt", booktitle = "Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Parallel Computing and Domain Decomposition", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1992", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Haase:1992:DDP, author = "Gundolf Haase and Ulrich Langer and Arnd Meyer", title = "Domain decomposition preconditioners with inexact subdomain solvers", journal = j-J-NUM-LIN-ALG-APPL, volume = "1", number = "1", pages = "27--41", year = "1992", CODEN = "NLAAEM", ISSN = "0129-3281", MRclass = "65N55 (65N30)", MRnumber = "93c:65153", bibdate = "Thu Jan 23 19:03:25 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/numlinaa.bib", acknowledgement = ack-nhfb, } @Article{Hu:1992:SAD, author = "Xian Cheng Hu and De Lin Chu", title = "Spectral analysis of domain boundary operators contained in preconditioners for solving elliptic problems on the basis of domain decomposition", journal = "J. Tsinghua Univ.", volume = "32", number = "3", pages = "8--17", year = "1992", CODEN = "QDXKE8", ISSN = "1000-0054", MRclass = "65N30", MRnumber = "1203917 (94c:65137)", MRreviewer = "Li Shan Kang", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Tsinghua University. Science and Technology. Qinghua Daxue Xuebao. Ziran Kexue Ban", } @Article{Ilin:1992:IFM, author = "V. P. Il{\cprime}in", title = "Incomplete factorization methods: some questions of theory and practice", journal = "Siberian J. Comput. Math.", volume = "1", number = "1", pages = "1--18", year = "1992", ISSN = "1062-7944", MRclass = "65F10 (15A23)", MRnumber = "1399513 (97d:65013)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Siberian Journal of Computer Mathematics", } @Article{Kiss:1992:PDD, author = "B. Kiss and Gy. Moln{\'a}rka", title = "A preconditioned domain decomposition algorithm for the solution of the elliptic {Neumann} problem", journal = "Period. Math. Hungar.", volume = "24", number = "3", pages = "151--165", year = "1992", CODEN = "PMHGAW", DOI = "https://doi.org/10.1007/BF02330875", ISSN = "0031-5303", MRclass = "65N55", MRnumber = "1190883 (93m:65168)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Periodica Mathematica Hungarica. Journal of the J{\'a}nos Bolyai Mathematical Society", } @Book{Kushner:1992:NMS, author = "Harold J. Kushner and Paul G. Dupuis", title = "Numerical methods for stochastic control problems in continuous time", volume = "24", publisher = pub-SV, address = pub-SV:adr, pages = "x + 439", year = "1992", ISBN = "0-387-97834-8", ISBN-13 = "978-0-387-97834-5", MRclass = "93-02 (65U05 90C39 93E20)", MRnumber = "1217486 (94e:93005)", MRreviewer = "Jose Luis Menaldi", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Applications of Mathematics (New York)", acknowledgement = ack-nhfb, } @Book{Kuznetsov:1992:CMM, editor = "Yu. A. Kuznetsov", title = "Chislennye metody i matematicheskoe modelirovanie", publisher = "Rossi\u\i skaya Akademiya Nauk Institut Vychislitel\cprime no\u\i\ Matematiki", address = "Moscow, Russia", pages = "128", year = "1992", ISBN = "5-201-08800-7", ISBN-13 = "978-5-201-08800-2", MRclass = "65-02", MRnumber = "1246792 (94e:65004)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Kuznetsov:1992:ODD, author = "Yu. A. Kuznetsov and P. Neittaanm{\"a}ki", booktitle = "{Computational and applied mathematics, II (Dublin, 1991)}", title = "Overlapping domain decomposition methods for the simplified {Dirichlet-Signorini} problem", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "297--306", year = "1992", MRclass = "65N30 (49J40 65K10 73V25)", MRnumber = "1204694 (94c:65139)", MRreviewer = "Li Shan Kang", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Laevskii:1992:DDA, author = "Yu. M. Laevski{\u\i}", title = "A domain decomposition algorithm without overlapping subdomains for the solution of parabolic equations", journal = j-Z-VYCISL-MAT-MAT-FIZ, volume = "32", number = "11", pages = "1744--1755", year = "1992", CODEN = "ZVMFAN", ISSN = "0044-4669", MRclass = "65M55 (65M60)", MRnumber = "1202701 (94d:65055)", MRreviewer = "Li Shan Kang", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Rossi\u\i skaya Akademiya Nauk. Zhurnal Vychislitel\cprime no\u\i\ Matematiki i Matematichesko\u\i\ Fiziki", } @Book{Laevskii:1992:OOP, author = "Yu. M. Laevski{\u\i}", title = "Ob otsenke pogreshnosti nekotorykh pryamykh algoritmov dekompozitsii oblasti bez naleganiya podoblastei resheniya parabolicheskikh uravnenii", volume = "955", publisher = "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr", address = "Novosibirsk, USSR", pages = "39", year = "1992", MRclass = "65M55", MRnumber = "1249484 (94g:65099)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "{\cyr Preprint} [Preprint]", acknowledgement = ack-nhfb, } @Book{Laevskii:1992:PMD, author = "Yu. M. Laevski{\u\i}", title = "Pryamoi metod dekompozitsii oblasti resheniya parabolicheskikh uravnenii", volume = "946", publisher = "Akad. Nauk SSSR Sibirsk. Otdel. Vychisl. Tsentr", address = "Novosibirsk, USSR", pages = "48", year = "1992", MRclass = "65N55 (65M55)", MRnumber = "1202432 (94e:65132)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "{\cyr Preprint} [Preprint]", acknowledgement = ack-nhfb, } @InCollection{Lai:1992:ATN, author = "C. H. Lai", booktitle = "{Computational and applied mathematics, I (Dublin, 1991)}", title = "An acceleration technique for a nonoverlapped domain decomposition method", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "289--293", year = "1992", MRclass = "65B99 (65M15)", MRnumber = "1203353", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Langer:1992:SSM, author = "Ulrich Langer", title = "Substrukturtechnik und {Schwarzsche Methoden}", journal = "Mitt. Ges. Angew. Math. Mech.", volume = "15", number = "2", pages = "86--103", year = "1992", ISSN = "0936-7195", MRclass = "65N30", MRnumber = "1199755 (94c:65140)", MRreviewer = "O. Widlund", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mitteilungen der Gesellschaft f{\"u}r Angewandte Mathematik und Mechanik", } @Article{Layton:1992:DDM, author = "William J. Layton", title = "Domain decomposition for multi-dimensional, first order systems of partial differential equations", journal = j-APPL-ANAL, volume = "47", number = "2--3", pages = "139--150", year = "1992", CODEN = "APANCC", DOI = "https://doi.org/10.1080/00036819208840137", ISSN = "0003-6811", MRclass = "65M55 (65M15)", MRnumber = "1333951 (96a:65143)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applicable Analysis. An International Journal", } @InCollection{Loheac:1992:ABC, author = "J.-P. Loh{\'e}ac", booktitle = "{Progress in partial differential equations: elliptic and parabolic problems (Pont-{\`a}-Mousson, 1991)}", title = "Artificial boundary conditions for advection-diffusion equations", volume = "266", publisher = "Longman Sci. Tech.", address = "Harlow, UK", pages = "207--219", year = "1992", MRclass = "65M12 (35K57 35Q30)", MRnumber = "1194229 (94b:65122)", MRreviewer = "Gert Lube", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Pitman Res. Notes Math. Ser.", acknowledgement = ack-nhfb, } @Article{Lu:1992:DDMa, author = "Tao L{\"u}", title = "Domain decomposition methods---a new technique for solving partial differential equations. {II}", journal = "Math. Practice Theory", volume = "2", number = "??", pages = "59--69", year = "1992", CODEN = "SSHRE8", ISSN = "1000-0984", MRclass = "65N55", MRnumber = "1195456 (94f:65120b)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematics in Practice and Theory. Shuxue de Shijian yu Renshi", } @Article{Lu:1992:DDMb, author = "Tao L{\"u}", title = "Domain decomposition methods---a new technique for solving partial differential equations. {III}", journal = "Math. Practice Theory", volume = "3", number = "??", pages = "43--58", year = "1992", CODEN = "SSHRE8", ISSN = "1000-0984", MRclass = "65N55", MRnumber = "1199750 (94f:65120c)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematics in Practice and Theory. Shuxue de Shijian yu Renshi", } @Article{Lu:1992:DDMc, author = "Tao L{\"u}", title = "Domain decomposition methods---a new technique for solving partial differential equations. {IV}", journal = "Math. Practice Theory", volume = "4", number = "??", pages = "37--49", year = "1992", CODEN = "SSHRE8", ISSN = "1000-0984", MRclass = "65N55", MRnumber = "1219226 (94f:65120d)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematics in Practice and Theory. Shuxue de Shijian yu Renshi", } @InCollection{Mandel:1992:AIS, author = "Jan Mandel", editor = "M. Papadrakakis", booktitle = "Solving Large Scale Problems in Mechanics. The Development and Application of Computational Solution Methods", title = "Adaptive Iterative Solvers in Finite Elements", publisher = pub-WILEY, address = pub-WILEY:adr, year = "1992", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear", } @TechReport{Mandel:1992:BDDa, author = "Jan Mandel", title = "Balancing Domain Decomposition", institution = "Computational Mathematics Group, University of Colorado at Denver", year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Communications in Applied Numerical Methods, to appear", } @TechReport{Mandel:1992:BDDb, author = "Jan Mandel and Marian Brezina", title = "Balancing Domain Decomposition: Theory and Computations in Two and Three Dimensions", institution = "Computational Mathematics Group, University of Colorado at Denver", year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Submitted to Math. Comp.", } @Unpublished{Mandel:1992:ISP, author = "Jan Mandel", title = "Iterative Solvers for p-Version Finite Element Method in Three Dimensions", year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "In preparation; paper presented at ICOSAHOM 92, Montpellier, France, June 1992", } @TechReport{Mu:1992:PDD, author = "M. Mu and John R. Rice", title = "Preconditioning for Domain Decomposition Through Function Approximation", type = "Technical report", number = "TR-92-091", institution = inst-CS-PURDUE, address = inst-CS-PURDUE:adr, pages = "18", month = nov, year = "1992", bibdate = "Sun Dec 30 13:46:29 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/rice-john-r.bib", URL = "http://www.cs.purdue.edu/research/technical_reports/1992/TR%2092-091.pdf", acknowledgement = ack-nhfb, } @Article{Nepomnyashchikh:1992:DDM, author = "S. V. Nepomnyashchikh", title = "The domain decomposition method for elliptic problems with coefficient jumps in thin strips", journal = j-DOKL-AKAD-NAUK, volume = "323", number = "6", pages = "1034--1037", year = "1992", CODEN = "DANKAS", ISSN = "0869-5652", MRclass = "65N55 (65N22 65N30)", MRnumber = "1202306 (94b:65160)", MRreviewer = "Li Shan Kang", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Rossi\u\i skaya Akademiya Nauk. Doklady Akademii Nauk", } @Article{Oswald:1992:HBM, author = "Peter Oswald", title = "On a hierarchical basis multilevel method with nonconforming {P}1 elements", journal = "Numer. Math.", year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear", } @Article{Oswald:1992:HCF, author = "P. Oswald", title = "Hierarchical Conforming Finite Element Methods for the Biharmonic Equation", journal = j-SIAM-J-NUMER-ANAL, volume = "29", number = "6", pages = "1610--1625", month = dec, year = "1992", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N30 (65F99)", MRnumber = "93k:65098", MRreviewer = "J. T. Oden", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, } @Article{Papamichael:1992:DDM, author = "N. Papamichael and N. S. Stylianopoulos", title = "A domain decomposition method for approximating the conformal modules of long quadrilaterals", journal = j-NUM-MATH, volume = "62", number = "2", pages = "213--234", month = jul, year = "1992", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "30C30 (65E05)", MRnumber = "93g:30008", MRreviewer = "D. Gaier", bibdate = "Thu Jan 23 07:49:52 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, } @PhdThesis{Pavarino:1992:DDA, author = "Luca F. Pavarino", title = "Domain Decomposition Algorithms for the p-version finite element method for elliptic problems", number = "616", institution = "Courant Institute of Mathematical Sciences, Department of Mathematics", school = "Courant Institute, New York University", month = sep, year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Perkins:1992:MDU, author = "A. Louise Perkins", title = "A mixed directed-undirected data structure for a parallel implementation of a domain decomposition algorithm", journal = j-BIT, volume = "32", number = "4", pages = "598--608", month = dec, year = "1992", CODEN = "BITTEL, NBITAB", DOI = "https://doi.org/10.1007/BF01994844", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "68P05 (65Y05)", MRnumber = "1 191 015", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=32&issue=4; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib; MathSciNet database", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=32&issue=4&spage=598", acknowledgement = ack-nhfb, fjournal = "BIT. Numerical Mathematics", } @InCollection{Phillips:1992:PDD, author = "Timothy N. Phillips", booktitle = "{Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations (Norfolk, VA, 1991)}", title = "Pseudospectral domain decomposition techniques for the {Navier--Stokes} equations", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "531--540", year = "1992", MRclass = "65N35 (76D05 76M25)", MRnumber = "1189600", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Pini:1992:DDN, author = "G. Pini", title = "Domain decomposition and nested grids in a parallel environment", journal = j-SUPERCOMPUTER, volume = "9", number = "4", pages = "22--28", month = jul, year = "1992", CODEN = "SPCOEL", ISSN = "0168-7875", bibdate = "Wed Mar 18 08:37:01 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/supercom.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, affiliation = "Dipartimento di Metodi e Modelli Matematici per le Sci. Applicate, Padova Univ., Italy", classification = "A0270 (Computational techniques); A4710 (General theory, simulation and other computational methods); A4755M (Flow through porous media); C4170 (Differential equations); C4185 (Finite element analysis); C5440 (Multiprocessor systems and techniques); C5470 (Performance evaluation and testing); C7320 (Physics and Chemistry)", corpsource = "Dipartimento di Metodi e Modelli Matematici per le Sci. Applicate, Padova Univ., Italy", keywords = "adjoint problems; Cray Y:MP8/432; domain decomposition; finite element analysis; finite- element technique; flow through porous media; macro-triangle; macromesh; nonsymmetric linear system; parallel environment; parallel implementation; parallel processing; parallel speedups; parallelization directives; partial differential equations; performance evaluation; randomly heterogeneous porous media; shared memory supercomputer; steady flow", pubcountry = "Netherlands", treatment = "T Theoretical or Mathematical; X Experimental", } @InCollection{Ronquist:1992:DDM, author = "Einar M. R{\o}nquist", booktitle = "{Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations (Norfolk, VA, 1991)}", title = "A domain decomposition method for elliptic boundary value problems: application to unsteady incompressible fluid flow", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "545--557", year = "1992", MRclass = "65N55 (76D05 76M30)", MRnumber = "1189601", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Book{Rozvany:1992:SLO, editor = "G. I. N. Rozvany", title = "Shape and layout optimization of structural systems and optimality criteria methods", volume = "325", publisher = pub-SV, address = pub-SV:adr, pages = "vi + 496", year = "1992", ISBN = "3-211-82363-8", ISBN-13 = "978-3-211-82363-7", MRclass = "73K40 (49Q10 73-06 73V05 73V10 73V25)", MRnumber = "1232703 (94i:73069)", MRreviewer = "Vadim Komkov", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "CISM Courses and Lectures", acknowledgement = ack-nhfb, } @InCollection{Rusten:1992:MFE, author = "T. Rusten and R. Winther", booktitle = "{Computational methods in water resources, IX, Vol. 1 (Denver, CO, 1992)}", title = "Mixed finite element methods and domain decomposition", publisher = "Comput. Mech.", address = "Southampton, UK", pages = "597--604", year = "1992", MRclass = "65N55 (76M10 76M25)", MRnumber = "1195369", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Sidilkover:1992:NSE, author = "David Sidilkover and George Em. Karniadakis", booktitle = "{Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations (Norfolk, VA, 1991)}", title = "Nonoscillatory spectral element {Chebyshev} method for shock wave calculations", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "566--585", year = "1992", MRclass = "65M70", MRnumber = "1189602", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @PhdThesis{Skogen:1992:SMP, author = "Morten D. Skogen", title = "{Schwarz} Methods and Parallelism", school = "Department of Informatics, University of Bergen, Norway", month = feb, year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Smith:1992:ISAa, author = "Barry F. Smith", editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A. Meurant and Jeffrey S. Scroggs and Robert G. Voigt", booktitle = "Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "An Iterative Substructuring Algorithm for Problems in Three Dimensions", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1992", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Smith:1992:ODD, author = "Barry F. Smith", title = "An Optimal Domain Decomposition Preconditioner for the Finite Element Solution of Linear Elasticity Problems", journal = j-SIAM-J-SCI-STAT-COMP, volume = "13", number = "1", pages = "364--378", month = jan, year = "1992", CODEN = "SIJCD4", ISSN = "0196-5204", MRclass = "73V05 (65N30 65N55 73C02)", MRnumber = "92g:73080", bibdate = "Sat Oct 24 13:21:07 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscistatcomp.bib", acknowledgement = ack-nhfb, } @InCollection{Srinivasan:1992:AMD, author = "Kumar Srinivasan and Stanley G. Rubin", booktitle = "{Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations (Norfolk, VA, 1991)}", title = "Adaptive multigrid domain decomposition solutions of the reduced {Navier--Stokes} equations", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "586--596", year = "1992", MRclass = "65N55 (76M20)", MRnumber = "1189603", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Stagg:1992:ANI, author = "A. K. Stagg and G. F. Carey", booktitle = "{Parallel processing for scientific computing (Houston, TX, 1991)}", title = "Asynchronous nonlinear iteration and domain decomposition", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "281--286", year = "1992", MRclass = "65H10 (65N55 65Y05)", MRnumber = "1194915", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Taha:1992:PAI, author = "Thiab R. Taha", booktitle = "{Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations (Norfolk, VA, 1991)}", title = "A parallel algorithm for an investigation of self-focusing singularity of higher {KdV} equations", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "597--604", year = "1992", MRclass = "65P05 (65Y05)", MRnumber = "1189604 (93h:65161)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Book{Tidriri:1992:CAM, author = "Moulay Driss Tidriri", title = "Couplage d'approximations et de mod{\`e}les de types diff{\'e}rents dans le calcul d'{\'e}coulements externes. ({{French}}) [Coupling of approximations and of models of different types in external flows]", publisher = "Institut National de Recherche en Informatique et en Automatique (INRIA)", address = "Rocquencourt, France", pages = "xii + 366", year = "1992", ISBN = "2-7261-0737-0", ISBN-13 = "978-2-7261-0737-9", MRclass = "65N55", MRnumber = "1346308 (96d:65202)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Th{\`e}se, Universit{\'e} de Paris IX (Paris-Dauphine), Paris, 1992", acknowledgement = ack-nhfb, language = "French", } @InCollection{Vasilevskii:1992:DDM, author = "Yu. V. Vasilevski{\u\i}", booktitle = "{Numerical methods and mathematical modeling (Russian)}", title = "The domain decomposition method with application of continuation operators for a difference function", publisher = "Ross. Akad. Nauk Inst. Vychisl. Mat.", address = "Moscow, Russia", pages = "21--34", year = "1992", MRclass = "65M55", MRnumber = "1246794 (95b:65115)", MRreviewer = "Erwin Schechter", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Widlund:1992:SSM, author = "Olof B. Widlund", editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A. Meurant and Jeffrey S. Scroggs and Robert G. Voigt", booktitle = "Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Some {Schwarz} Methods for Symmetric and Nonsymmetric Elliptic Problems", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1992", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Williams:1992:VOMa, author = "Peter L. Williams", title = "Visibility ordering meshed polyhedra", type = "Technical Report", number = "CSRD 1097", institution = inst-UIUC-CSRD, address = inst-UIUC-CSRD:adr, pages = "28", month = jan, year = "1992", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", abstract = "A visibility ordering of a set of objects from some viewpoint is an ordering such that if object a obstructs object b, then b precedes a in the ordering. An algorithm is presented that generates a visibility ordering of an acyclic convex set of meshed convex polyhedra. This algorithm takes time linear in the size of the mesh. Modifications to this algorithm and/or preprocessing techniques are described which permit nonconvex cells, nonconvex meshes (meshes with cavities and/or voids), meshes with cycles, and sets of disconnected meshes to be ordered. Visibility ordering of polyhedra is applicable to scientific visualization, particularly direct volume rendering. It is shown how the ordering algorithms can be used for domain decomposition of finite element meshes for parallel processing, and how the data structures used by these algorithms can be used to solve the spatial point location problem. The effects of cyclically obstructing polyhedra are discussed, and methods for their elimination are described, including the use of the Delaunay triangulation. Methods for converting nonconvex meshes into convex meshes are described.", acknowledgement = ack-nhfb, annote = "To appear in ACM Transactions on Graphics in 1993. Supported in part by the U.S. Air Force Office of Scientific Research. Supported in part by the U.S. Department of Energy. Supported in part by the National Science Foundation. Supported in part by Sun Microsystems.", keywords = "Computer graphics", } @Article{Williams:1992:VOMb, author = "Peter L. Williams", title = "Visibility Ordering Meshed Polyhedra", journal = j-TOG, volume = "11", number = "2", pages = "103--126", month = apr, year = "1992", CODEN = "ATGRDF", ISSN = "0730-0301 (print), 1557-7368 (electronic)", bibdate = "Fri Jan 5 07:58:42 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/tog.bib", URL = "http://www.acm.org/pubs/toc/Abstracts/0730-0301/130899.html", abstract = "A visibility-ordering of a set of objects from some viewpoint is an ordering such that if object $a$ obstructs object $b$, then $b$ precedes $a$ in the ordering. An algorithm is presented that generates a visibility-ordering of an acyclic convex set of meshed convex polyhedra. This algorithm takes time linear in the size of the mesh. Modifications to this algorithm and/or preprocessing techniques are described that permit nonconvex cells nonconvex meshes (meshes with cavities and/or voids), meshes with cycles, and sets of disconnected meshes to be ordered. Visibility-ordering of polyhedra is applicable to scientific visualization, particularly direct volume rendering. It is shown how the ordering algorithms can be used for domain decomposition of finite element meshes for parallel processing, and how the data structures used by these algorithms can be used to solve the spatial point location problem. The effects of cyclically obstructing polyhedra are discussed and methods for their elimination are described, including the use of the Delaunay triangulation. Methods for converting nonconvex meshes into convex meshes are described.", acknowledgement = ack-nhfb, keywords = "algorithms; design; theory", subject = "{\bf I.3.7}: Computing Methodologies, COMPUTER GRAPHICS, Three-Dimensional Graphics and Realism, Visible line/surface algorithms. {\bf I.3.3}: Computing Methodologies, COMPUTER GRAPHICS, Picture/Image Generation, Display algorithms. {\bf I.3.3}: Computing Methodologies, COMPUTER GRAPHICS, Picture/Image Generation, Viewing algorithms. {\bf I.3.5}: Computing Methodologies, COMPUTER GRAPHICS, Computational Geometry and Object Modeling, Curve, surface, solid, and object representations.", } @Article{Wu:1992:DDM, author = "Yun Hai Wu", title = "A domain decomposition method for impulsively started flow around a circular cylinder", journal = "Chinese J. Numer. Math. Appl.", volume = "14", number = "4", pages = "82--90", year = "1992", ISSN = "0899-4358", MRclass = "76M25 (65N55 76D05 76M35)", MRnumber = "1258645 (94i:76063)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Chinese Journal of Numerical Mathematics and Applications", } @Article{Xu:1992:IMS, author = "Jinchao Xu", title = "Iterative methods by space decomposition and subspace correction", journal = j-SIAM-REVIEW, volume = "34", number = "4", pages = "581--613", month = dec, year = "1992", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1034116", ISSN = "0036-1445 (print), 1095-7200 (electronic)", MRclass = "65F10 (65M55 65M60 65N30 65N55)", MRnumber = "1193013 (93k:65029)", MRreviewer = "Jan Z{\'\i}tko", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "SIAM Review. A Publication of the Society for Industrial and Applied Mathematics", } @Article{Xu:1992:NCI, author = "Jinchao Xu", title = "A New Class of Iterative Methods for Nonselfadjoint or Indefinite Problems", journal = j-SIAM-J-NUMER-ANAL, volume = "29", number = "2", pages = "303--319", month = apr, year = "1992", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65F10 (65N30)", MRnumber = "92k:65063", bibdate = "Fri Oct 16 06:57:22 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, } @Article{Xu:1992:PGM, author = "Jinchao Xu and Xiao-Chuan Cai", title = "A preconditioned {GMRES} method for nonsymmetric or indefinite problems", journal = j-MATH-COMPUT, volume = "59", number = "200", pages = "311--319", month = oct, year = "1992", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65F30 (65F10 65F35 65N30)", MRnumber = "93a:65059", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; JSTOR database", acknowledgement = ack-nhfb, } @InCollection{Zampieri:1992:MSC, author = "Elena Zampieri", booktitle = "{Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations (Norfolk, VA, 1991)}", title = "A multidomain spectral collocation solver for the elasticity problem", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "614--623", year = "1992", MRclass = "65N35 (73V20)", MRnumber = "1189605", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Zhang:1992:DDA, author = "Xuejun Zhang", editor = "Tony F. Chan and David E. Keyes and G{\'e}rard A. Meurant and Jeffrey S. Scroggs and Robert G. Voigt", booktitle = "Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations", title = "Domain Decomposition Algorithms for the Biharmonic {Dirichlet} Problem", publisher = pub-SIAM, address = pub-SIAM:adr, year = "1992", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Zhang:1992:MSMa, author = "Xuejun Zhang", title = "Multilevel {Schwarz} Methods", journal = j-NUM-MATH, volume = "63", number = "4", pages = "521--539", year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Zhang:1992:MSMb, author = "Xuejun Zhang", title = "Multilevel {Schwarz} Methods for the Biharmonic {Dirichlet} Problem", number = "CS-TR2907 (UMIACS-TR-92-60)", institution = "University of Maryland, Department of Computer Science", month = may, year = "1992", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Submitted to SIAM J. Sci. Stat. Comput.", } @Article{Zhang:1992:PDD, author = "Sheng Zhang", title = "Preconditioning domain decomposition for three-dimensional problems", journal = "J. Fudan Univ. Natur. Sci.", volume = "31", number = "2", pages = "136--141", year = "1992", CODEN = "FHPTAY", ISSN = "0427-7104", MRclass = "65N55 (65F35)", MRnumber = "1194320 (93i:65118)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Fudan University. Natural Science. Fudan Xuebao. Ziran Kexue Ban", } @Article{Zhang:1992:PIA, author = "Tie Zhang", title = "A parallel iterative algorithm for solving systems of finite element equations", journal = "J. Northeast Univ. Tech.", volume = "13", number = "3", pages = "297--301", year = "1992", CODEN = "THYPDK", ISSN = "0253-4258", MRclass = "65N30 (65Y05)", MRnumber = "1203697 (94a:65061)", MRreviewer = "Weimin Han", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Northeast University of Technology. Dongbei Gong Xueyuan Xuebao", } @Article{Zhang:1992:PID, author = "Sheng Zhang and Hong Ci Huang", title = "Parallel iterative domain decomposition method for elliptic equation: many subdomains case", journal = "Sci. China Ser. A", volume = "35", number = "6", pages = "690--700", year = "1992", ISSN = "1001-6511", MRclass = "65N55", MRnumber = "1196627 (93j:65206)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Science in China (Scientia Sinica). Series A. Mathematics, Physics, Astronomy", } @Article{Abdoulaev:1993:ODD, author = "G. S. Abdoulaev", title = "Overlapping domain decomposition method for {Burgers} equation", journal = j-EW-J-NUM-MATH, volume = "1", number = "2", pages = "75--86", year = "1993", CODEN = "EJNMEA", ISSN = "0928-0200", MRclass = "65M55 (65M60 65N30 65N55)", MRnumber = "1253628 (94k:65135)", MRreviewer = "Li Shan Kang", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "East-West Journal of Numerical Mathematics", } @InCollection{Aguilar:1993:DDM, author = "G. Aguilar and F. Lisbona", booktitle = "{III Congress on Applied Mathematics\slash XIII Congress on Differential Equations and Applications (Spanish) (Madrid, 1993)}", title = "Domain decomposition in models of viscous-nonviscous flow", publisher = "Univ. Polit{\'e}c. Madrid", address = "Madrid, Spain", pages = "269--274", year = "1993", MRclass = "35A25", MRnumber = "1425651", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Belgacem:1993:NCS, author = "F. Ben Belgacem and Y. Maday", title = "Non-conforming spectral method for second order elliptic problems in {$3$D}", journal = j-EW-J-NUM-MATH, volume = "1", number = "4", pages = "235--251", year = "1993", CODEN = "EJNMEA", ISSN = "0928-0200", MRclass = "65N35", MRnumber = "1318804 (95k:65113)", MRreviewer = "B. Kellogg", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "East-West Journal of Numerical Mathematics", } @Article{Bialecki:1993:FDD, author = "Bernard Bialecki", title = "A Fast Domain Decomposition {Poisson} Solver on a Rectangle for {Hermite} Bicubic Orthogonal Spline Collocation", journal = j-SIAM-J-NUMER-ANAL, volume = "30", number = "2", pages = "425--434", month = apr, year = "1993", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N55 (65F30 65N35)", MRnumber = "94b:65154", bibdate = "Mon Jan 20 15:27:00 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib", acknowledgement = ack-nhfb, } @InCollection{Boglaev:1993:ADD, author = "I. P. Boglaev and V. V. Sirotkin", booktitle = "{Applications of advanced computational methods for boundary and interior layers}", title = "Application of domain decomposition to semiconductor device modelling and simulation in diagnostics of semiconductor structures", volume = "2", publisher = "Boole", address = "Dublin, Ireland", pages = "1--32", year = "1993", MRclass = "65M50 (78A55)", MRnumber = "1245730 (94h:65093)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Adv. Comput. Methods Bound. Inter. Layers", acknowledgement = ack-nhfb, } @Article{Boglaev:1993:CMS, author = "I. P. Boglaev and V. V. Sirotkin", title = "Computational Method for a Singular Perturbation Problem via Domain Decomposition and its Parallel Implementation", journal = j-APPL-MATH-COMP, volume = "56", number = "1", pages = "71--95", month = jun, year = "1993", CODEN = "AMHCBQ", ISSN = "0096-3003 (print), 1873-5649 (electronic)", MRclass = "65L99 (65Y05)", MRnumber = "94h:65083", MRreviewer = "Beny Neta", bibdate = "Fri Feb 28 12:53:44 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib", acknowledgement = ack-nhfb, affiliation = "Inst. of Microelectron. Technol., Acad. of Sci., Chernogolovka, Russia", } @InCollection{Brezzi:1993:MHE, author = "F. Brezzi and L. D. Marini", booktitle = "{Optimisation et contr{\^o}le (Sophia-Antipolis, 1992)}", title = "Macro hybrid elements and domain decomposition methods", publisher = "C{\'e}padu{\`e}s", address = "Toulouse, France", pages = "89--96", year = "1993", MRclass = "65N55", MRnumber = "1284966 (95c:65208)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Cai:1993:CSD, author = "Xiao-Chuan Cai and William D. Gropp and David E. Keyes", title = "A Comparison of Some Domain Decomposition and {ILU} Preconditioned Iterative Methods for Nonsymmetric Elliptic Problems", journal = j-NUM-LIN-ALG-APPL, month = jun, year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", } @Article{Cai:1993:MSA, author = "Xiao-Chuan Cai and Olof B. Widlund", title = "Multiplicative {Schwarz} algorithms for some nonsymmetric and indefinite problems", journal = j-SIAM-J-NUMER-ANAL, volume = "30", number = "4", pages = "936--952", month = sep, year = "1993", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N55 (65F15 65N30)", MRnumber = "94j:65141", MRreviewer = "Zden{\v{e}}k Dost{\'a}l", bibdate = "Mon Jan 20 15:27:00 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", acknowledgement = ack-nhfb, } @Article{Cai:1993:NEP, author = "Zhi Qiang Cai", title = "Norm Estimates of Product Operators with Application to Domain Decomposition", journal = j-APPL-MATH-COMP, volume = "53", number = "2--3", pages = "251--276", month = feb, year = "1993", CODEN = "AMHCBQ", ISSN = "0096-3003 (print), 1873-5649 (electronic)", MRclass = "47A50 (47A30 65N55)", MRnumber = "94c:47011", MRreviewer = "J. H. Bramble", bibdate = "Thu Feb 27 09:47:09 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib", acknowledgement = ack-nhfb, } @Article{Cai:1993:OTL, author = "Xiao-Chuan Cai", title = "An Optimal Two-level Overlapping Domain Decomposition Method for Elliptic Problems in Two and Three Dimensions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "14", pages = "239--247", month = jan, year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Chan:1993:IMQ, author = "Raymond H. Chan", booktitle = "{Linear algebra, Markov chains, and queueing models (Minneapolis, MN, 1992)}", title = "Iterative methods for queueing networks with irregular state-spaces", volume = "48", publisher = pub-SV, address = pub-SV:adr, pages = "89--109", year = "1993", MRclass = "65F05 (60K25 90B22)", MRnumber = "1242131 (94h:65020)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "IMA Vol. Math. Appl.", acknowledgement = ack-nhfb, } @Article{Chu:1993:CDD, author = "De-lin Chu and Fang-jun Zhou", title = "The convergence of a domain decomposition algorithm for parabolic problems", journal = "Numer. Math. J. Chinese Univ. (English Ser.)", volume = "2", number = "2", pages = "162--175", year = "1993", ISSN = "1004-8979 (print), 2079-7338 (electronic)", MRclass = "65N55", MRnumber = "1390729 (97b:65139)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Mathematics. A Journal of Chinese Universities. (English Series)", } @Article{Chu:1993:PCG, author = "De Lin Chu and Xian Cheng Hu", title = "A preconditioned conjugate gradient method with nonoverlapping domain decomposition", journal = "Math. Numer. Sinica", volume = "15", number = "1", pages = "58--68", year = "1993", ISSN = "0254-7791", MRclass = "65N55 (65F35)", MRnumber = "1393855 (97c:65203)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @TechReport{Cowsar:1993:BDD, author = "Lawrence C. Cowsar and Jan Mandel and Mary F. Wheeler", title = "Balancing Domain Decomposition for Mixed Finite Elements", number = "TR93-08", institution = "Department of Mathematical Sciences, Rice University", month = mar, year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @TechReport{Cowsar:1993:DVS, author = "Lawrence C. Cowsar", title = "Dual Variable {Schwarz} Methods for Mixed Finite Elements", number = "TR93-09", institution = "Department of Mathematical Sciences, Rice University", month = mar, year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InProceedings{Dagum:1993:APU, author = "Leonardo Dagum", title = "Automatic Partitioning of Unstructured Grids into Connected Components", crossref = "IEEE:1993:PSP", pages = "94--101", year = "1993", bibdate = "Wed Apr 15 12:04:03 MDT 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/supercomputing93.bib", acknowledgement = ack-nhfb, affiliation = "Computer Sciences Corp", affiliationaddress = "Moffet Field, CA, USA", classification = "723; 723.5; 921; 921.6; C1120 (Mathematical analysis); C1180 (Optimisation techniques); C4170 (Differential equations); C4240P (Parallel programming and algorithm theory)", corpsource = "Computer Sci. Corp., Moffett Field, CA, USA", keywords = "Algorithms; automatic partitioning; Computer science; Connected components; connected components; connected initial grid; convergence; cut edges; differential equations; domain decomposition; multigrid; Numerical analysis; optimisation; parallel algorithms; Partitioning scheme; partitioning schemes; resource allocation; Spectral partitioning; spectral partitioning; unstructured grids; Unstructured grids automatic partitioning", sponsororg = "IEEE; ACM SIGARCH", treatment = "P Practical", } @Article{dHennezel:1993:DDM, author = "Fr{\'e}d{\'e}ric d'Hennezel", title = "Domain decomposition method and elastic multi-structures: the stiffened plate problem", journal = j-NUM-MATH, volume = "66", number = "2", pages = "181--197", month = nov, year = "1993", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/BF01385693", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "73V05 (65N55 73K10 73K20)", MRnumber = "1245010 (95c:73080)", MRreviewer = "Rolf Rannacher", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @InCollection{Douglas:1993:MPI, author = "Jim {Douglas, Jr.} and P. J. Paes-Leme and Felipe Pereira and Li Ming Yeh", booktitle = "{Flow in porous media (Oberwolfach, 1992)}", title = "A massively parallel iterative numerical algorithm for immiscible flow in naturally fractured reservoirs", volume = "114", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "75--93", year = "1993", MRclass = "76M10 (65Y05 76M25 76S05)", MRnumber = "1276495 (95a:76058)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Internat. Ser. Numer. Math.", acknowledgement = ack-nhfb, } @Article{Douglas:1993:NFM, author = "Jim {Douglas, Jr.} and Jun Ping Wang", title = "A new family of mixed finite element spaces over rectangles", journal = "Mat. Apl. Comput.", volume = "12", number = "3", pages = "183--197", year = "1993", ISSN = "0101-8205", MRclass = "65N30", MRnumber = "1288240 (95g:65150)", MRreviewer = "Charles I. Goldstein", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Sociedade Brasiliera de Matem{\'a}tica Applicada e Computacional. Matem{\'a}tica Aplicada e Computacional. Computational and Applied Mathematics", } @Article{Douglas:1993:PIP, author = "J. {Douglas, Jr.} and P. J. {Paes Leme} and J. E. Roberts and Junping Wang", title = "A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods", journal = j-NUM-MATH, volume = "65", number = "1", pages = "95--108", month = may, year = "1993", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65Y05)", MRnumber = "94c:65134", MRreviewer = "Weimin Han", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); B0290P (Differential equations); C4130 (Interpolation and function approximation); C4170 (Differential equations)", corpsource = "Dept. of Math., Purdue Univ., West Lafayette, IN, USA", keywords = "approximate solution; domain decomposition techniques; elliptic equations; finite element analysis; iterative methods; mixed finite element methods; parallel iterative procedure; partial differential equations; second order partial differential equations; time-dependent problems", treatment = "P Practical; T Theoretical or Mathematical", } @TechReport{Dryja:1993:SAIa, author = "Maksymilian Dryja and Barry F. Smith and Olof B. Widlund", title = "{Schwarz} Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions", institution = "Department of Computer Science, Courant Institute", year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "In preparation", } @TechReport{Dryja:1993:SMN, author = "Maksymilian Dryja and Olof B. Widlund", title = "{Schwarz} Methods of {Neumann--Neumann} Type for Three-Dimensional Elliptic Finite Element Problems", number = "626", institution = "Department of Computer Science, Courant Institute", month = mar, year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Submitted to Comm. Pure Appl. Math.", } @InProceedings{Dryja:1993:SRR, author = "Maksymilian Dryja and Olof B. Widlund", editor = "Alfio Quarteroni", booktitle = "Sixth Conference on Domain Decomposition Methods for Partial Differential Equations, held in Como, Italy, June 15--19,1992.", title = "Some Recent Results on {Schwarz} Type Domain Decomposition Algorithms", publisher = pub-AMS, address = pub-AMS:adr, year = "1993", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear.", } @Article{Ewing:1993:DDT, author = "Richard E. Ewing and Raytcho D. Lazarov and Joseph E. Pasciak and Panayot S. Vassilevski", title = "Domain Decomposition Type Iterative Techniques for Parabolic Problems on Locally Refined Grids", journal = j-SIAM-J-NUMER-ANAL, volume = "30", number = "6", pages = "1537--1557", month = dec, year = "1993", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0730080", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65M50 (65F10)", MRnumber = "1249032 (94i:65094)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", } @InCollection{Gastaldi:1993:DDB, author = "Fabio Gastaldi", booktitle = "{Boundary value problems for partial differential equations and applications}", title = "On the domain decomposition for boundary value problems", volume = "29", publisher = pub-MASSON, address = pub-MASSON:adr, pages = "367--372", year = "1993", MRclass = "35F05 (35A35 65M12)", MRnumber = "1260464 (94m:35054)", MRreviewer = "M. Biroli", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "RMA Res. Notes Appl. Math.", acknowledgement = ack-nhfb, } @InCollection{Gastaldi:1993:MDT, author = "Fabio Gastaldi", booktitle = "{Variational and free boundary problems}", title = "A multidomain decomposition for the transport equation", volume = "53", publisher = pub-SV, address = pub-SV:adr, pages = "87--109", year = "1993", MRclass = "65M55", MRnumber = "1320776 (96c:65154)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "IMA Vol. Math. Appl.", acknowledgement = ack-nhfb, } @Article{Guermond:1993:SDE, author = "J.-L. Guermond and S. Huberson and W.-Z. Shen", title = "Simulation of {$2$D} external viscous flows by means of a domain decomposition method", journal = j-J-COMPUT-PHYS, volume = "108", number = "2", pages = "343--352", year = "1993", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1993.1187", ISSN = "0021-9991 (print), 1090-2716 (electronic)", MRclass = "76M25 (76D05 76M20)", MRnumber = "1242956 (94f:76059)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", } @InCollection{Haase:1993:PVC, author = "Gundolf Haase and Ulrich Langer and Arnd Meyer", booktitle = "{Numerische Algorithmen auf Transputer-Systemen (Heidelberg, 1991)}", title = "Parallelisierung und {Vorkonditionierung} des {CG-Verfahrens} durch {Gebietszerlegung}", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, pages = "80--116", year = "1993", MRclass = "65Y05 (65F05)", MRnumber = "1239218", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Teubner Skr. Numer.", acknowledgement = ack-nhfb, } @Article{Heinrichs:1993:DDF, author = "Wilhelm Heinrichs", title = "Domain Decomposition for Fourth-Order Problems", journal = j-SIAM-J-NUMER-ANAL, volume = "30", number = "2", pages = "435--453", month = apr, year = "1993", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65L60 (65N35)", MRnumber = "94g:65089", MRreviewer = "Lutz Tobiska", bibdate = "Mon Jan 20 15:27:00 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib", acknowledgement = ack-nhfb, } @Article{Heinrichs:1993:SMM, author = "Wilhelm Heinrichs", title = "Spectral multigrid methods for domain decomposition problems using patching techniques", journal = j-APPL-MATH-COMP, volume = "59", number = "2--3", pages = "165--176", month = dec, year = "1993", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/0096-3003(93)90087-U", ISSN = "0096-3003 (print), 1873-5649 (electronic)", MRclass = "65M55 (65M70)", MRnumber = "1253159 (95a:65158)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib; MathSciNet database", acknowledgement = ack-nhfb, affiliation = "Math. Inst., Dusseldorf Univ., Germany", fjournal = "Applied Mathematics and Computation", } @Article{Hoffmann:1993:PED, author = "K.-H. Hoffmann and J. Zou", title = "Parallel efficiency of domain decomposition methods", journal = j-PARALLEL-COMPUTING, volume = "19", number = "12", pages = "1375--1391", month = dec, year = "1993", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", bibdate = "Mon Apr 14 12:05:41 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4240P (Parallel programming and algorithm theory)", corpsource = "Inst. of Appl. Math. and Stat., Tech. Univ. Munchen, Germany", keywords = "communication; communication complexity; communication overheads; complexity; computational; Data; differential equations; distributed memory multiprocessor; domain decomposition methods; efficiency; parallel algorithms; partial; performance; speedup", treatment = "T Theoretical or Mathematical", xxnote = "Is first author Hoffmann or Hoffman??", } @Article{Huang:1993:DDD, author = "Lan Chieh Huang", title = "Domain decomposition for the difference solution of incompressible {Navier--Stokes} equations", journal = "Chinese J. Numer. Math. Appl.", volume = "15", number = "1", pages = "30--47", year = "1993", ISSN = "0899-4358", MRclass = "65M55 (76D05 76M25)", MRnumber = "1600563", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Chinese Journal of Numerical Mathematics and Applications", } @Book{Ilin:1993:VMT, editor = "V. P. Il{\cprime}in", title = "Vychislitelnye metody i tekhnologiya resheniya zadach matematicheskoi fiziki", publisher = "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr", address = "Novosibirsk, USSR", pages = "169", year = "1993", MRclass = "65-06", MRnumber = "1351542 (96c:65007)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Israeli:1993:DDM, author = "M. Israeli and L. Vozovoi and A. Averbuch", title = "Domain decomposition methods for solving parabolic {PDEs} on multiprocessors", journal = j-APPL-NUM-MATH, volume = "12", number = "1--3", pages = "193--212", month = may, year = "1993", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65M55", MRnumber = "94e:65105", bibdate = "Sat Feb 8 10:09:54 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", note = "Special issue to honor Professor Saul Abarbanel on his sixtieth birthday (Neveh, 1992).", acknowledgement = ack-nhfb, } @Article{Israeli:1993:PIA, author = "M. Israeli and L. Vozovoi and A. Averbuch", title = "Parallelizing implicit algorithms for time-dependent problems by parabolic domain decomposition", journal = j-J-SCI-COMPUT, volume = "8", number = "2", pages = "151--166", year = "1993", CODEN = "JSCOEB", DOI = "https://doi.org/10.1007/BF01060870", ISSN = "0885-7474 (print), 1573-7691 (electronic)", ISSN-L = "0885-7474", MRclass = "65N35 (65N55)", MRnumber = "1242959 (94i:65124b)", MRreviewer = "Serge Nicaise", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Scientific Computing", } @Article{Kalia:1993:PAM, author = "R. K. Kalia and A. Nakano and D. L. Greenwell and P. Vashishta and S. W. {de Leeuw}", title = "Parallel algorithms for molecular dynamics simulations on distributed-memory {MIMD} machines", journal = j-SUPERCOMPUTER, volume = "10", number = "2", pages = "11--25", month = mar, year = "1993", CODEN = "SPCOEL", ISSN = "0168-7875", bibdate = "Wed Mar 18 08:37:01 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/supercom.bib", acknowledgement = ack-nhfb, affiliation = "Concurrent Comput. Lab. for Mater. Simulations, Louisiana State Univ., Baton Rouge, LA, USA", classification = "C5220P (Parallel architecture); C7320 (Physics and Chemistry)C4240P (Parallel programming and algorithm theory)", corpsource = "Concurrent Comput. Lab. for Mater. Simulations, Louisiana State Univ., Baton Rouge, LA, USA", keywords = "8-processor Intel iPSC/860; communication time; distributed memory systems; distributed-memory MIMD machines; domain decomposition; forces; Lennard-Jones system; linked-list scheme; load balancing; molecular dynamics method; molecular dynamics simulations; multiple- time-step approach; parallel algorithms; particle decomposition; physics computing; potential energy", pubcountry = "Netherlands", treatment = "P Practical", } @Book{Khoromskij:1993:CEC, author = "B. N. Khoromskij and G. E. Mazurkevich and {\`E}. G. Nikonov", title = "Cost-effective computations with boundary interface operators in elliptic problems", publisher = "Ob\cdprime ed. Inst. Yadernykh Issled.", address = "Dubna, USSR", pages = "25", year = "1993", MRclass = "65N55 (47G30)", MRnumber = "1243879 (94m:65188)", MRreviewer = "Jan Mandel", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "{\cyr Soobshcheniya Ob\cdprime edinennogo Instituta Yadernykh Issledovani\u\i. Dubna} [Communications of the Joint Institute for Nuclear Research. Dubna], E11-93-163", acknowledgement = ack-nhfb, } @Article{Khoromskij:1993:SEP, author = "B. N. Khoromskij and W. L. Wendland", title = "Spectrally equivalent preconditioners for boundary equations in substructuring techniques", journal = j-EW-J-NUM-MATH, volume = "1", number = "1", pages = "1--26", year = "1993", CODEN = "EJNMEA", ISSN = "0928-0200", MRclass = "65F10 (65N30)", MRnumber = "1253625 (94j:65048)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "East-West Journal of Numerical Mathematics", } @Article{Kurbatov:1993:SEC, author = "A. A. Kurbatov", title = "Some estimates concerning the overlapping domain decomposition method for the convection-diffusion equation", journal = j-EW-J-NUM-MATH, volume = "1", number = "4", pages = "303--309", year = "1993", CODEN = "EJNMEA", ISSN = "0928-0200", MRclass = "65M55 (65M15 76M25 76Rxx)", MRnumber = "1318808 (95m:65158)", MRreviewer = "Bruno Scheurer", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "East-West Journal of Numerical Mathematics", } @InCollection{Laevskii:1993:DDP, author = "Yu. M. Laevski{\u\i}", booktitle = "{Computing methods and technology for solving problems in mathematical physics (Russian)}", title = "Domain decomposition for parabolic problems with discontinuous solutions, and the penalty method", publisher = "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr", address = "Novosibirsk, USSR", pages = "3--29", year = "1993", MRclass = "65M55", MRnumber = "1351543 (96f:65128)", MRreviewer = "Snezhana Gocheva-Ilieva", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Laevskii:1993:EID, author = "Yu. M. Laevski{\u\i}", booktitle = "{Computing methods and technology for solving problems in mathematical physics (Russian)}", title = "Explicit-implicit domain decomposition method for solving parabolic equations", publisher = "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr", address = "Novosibirsk, USSR", pages = "30--46", year = "1993", MRclass = "65M55", MRnumber = "1351544 (96f:65129)", MRreviewer = "Snezhana Gocheva-Ilieva", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Book{Laevskii:1993:MDO, author = "Yu. M. Laevski{\u\i} and S. A. Litvinenko", title = "{O} metode dekompozitsii oblasti s pokomponentnym rasshchepleniem resheniya parabolicheskikh uravnenii", volume = "991", publisher = "Ross. Akad. Nauk Sibirsk. Otdel. Vychisl. Tsentr", address = "Novosibirsk, USSR", pages = "ii + 37", year = "1993", MRclass = "65M55 (65N55)", MRnumber = "1282722 (95b:65114)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "{\cyr Preprint} [Preprint]", acknowledgement = ack-nhfb, } @Book{Laevskii:1993:MKE, author = "Yu. M. Laevski{\u\i}", title = "Metod konechnykh elementov resheniya mnogomernykh parabolicheskikh uravnenii", publisher = "Novosibirsk. Gos. Univ.", address = "Novosibirsk, USSR", pages = "104", year = "1993", ISBN = "5-230-13543-3", ISBN-13 = "978-5-230-13543-2", MRclass = "65-01 (65M55 65M60)", MRnumber = "1449138 (97m:65004)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Lai:1993:DDM, author = "C.-H. Lai", title = "Domain decomposition methods for semiconductor device problems on a {Cray S-MP}", journal = j-IJSA, volume = "7", number = "4", pages = "337--348", month = "Winter", year = "1993", CODEN = "IJSAE9", ISSN = "0890-2720", bibdate = "Tue Feb 18 09:47:23 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/ijsa.bib; UnCover library database", acknowledgement = ack-nhfb, affiliation = "Centre for Numerical Modelling and Process Anal., Greenwich Univ., London, UK", } @Article{Lai:1993:SSD, author = "C.-H. Lai and H. J. J. {te Riele}", title = "Solving some {$1$-D} semiconductor device problems on a matrix coprocessor using a domain decomposition method", journal = j-SUPERCOMPUTER, volume = "10", number = "1", pages = "24--32", month = jan, year = "1993", CODEN = "SPCOEL", ISSN = "0168-7875", bibdate = "Wed Mar 18 08:37:01 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/supercom.bib; Parallel/mgnet.bib; Parallel/Multi.grid.bib", acknowledgement = ack-nhfb, affiliation = "Sch. of Math., Stat. and Comput., Greenwich Univ., London, UK", classification = "C5440 (Multiprocessor systems and techniques); C7410D (Electronic engineering)", corpsource = "Sch. of Math., Stat. and Comput., Greenwich Univ., London, UK", keywords = "1-D; coarse-grained; Cray S-MP; digital simulation; electronic engineering; matrix coprocessor; nonoverlapped domain decomposition; parallel computer; satellite computers; semiconductor device models; semiconductor device problems; shared memory; shared memory systems", pubcountry = "Netherlands", treatment = "T Theoretical or Mathematical", } @Article{Li:1993:DDM, author = "Cui Hua Li and Kai Tai Li", title = "The domain decomposition method for fracture problems", journal = j-J-NUMER-METHODS-COMPUT-APPL, volume = "14", number = "4", pages = "272--279", year = "1993", ISSN = "1000-3266", MRclass = "73V20 (65N55 73M25)", MRnumber = "1264957 (95c:73090)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal on Numerical Methods and Computer Applications. Shuzhi Jisuan yu Jisuanji Yingyong", } @Article{Liang:1993:NCD, author = "Guo-ping Liang and Jiang-heng He", title = "The non-conforming domain decomposition method for elliptic problems with {Lagrangian} multipliers", journal = "Chinese J. Numer. Math. Appl.", volume = "15", number = "1", pages = "8--19", year = "1993", ISSN = "0899-4358", MRclass = "65N55", MRnumber = "1600626", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Chinese Journal of Numerical Mathematics and Applications", } @Book{Lions:1993:BVP, editor = "J.-L. Lions and C. Baiocchi", title = "Boundary value problems for partial differential equations and applications", volume = "29", publisher = pub-MASSON, address = pub-MASSON:adr, pages = "xii + 460", year = "1993", ISBN = "2-225-84334-1", ISBN-13 = "978-2-225-84334-1", MRclass = "35-06", MRnumber = "1260434 (94i:35002)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Dedicated to E. Magenes", series = "RMA: Research Notes in Applied Mathematics", acknowledgement = ack-nhfb, } @InProceedings{Mandel:1993:HDD, author = "Jan Mandel", editor = "Alfio Quarteroni", booktitle = "Sixth Conference on Domain Decomposition Methods for Partial Differential Equations", title = "Hybrid Domain Decomposition with Unstructured Subdomains", publisher = pub-AMS, address = pub-AMS:adr, year = "1993", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Held in Como, Italy, June 15--19,1992. To appear", } @Article{Mathew:1993:SAIa, author = "Tarek P. Mathew", title = "{Schwarz} alternating and iterative refinement methods for mixed formulations of elliptic Problems, {Part I}: Algorithms and Numerical Results", journal = j-NUM-MATH, year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear", } @Article{Mathew:1993:SAIb, author = "Tarek P. Mathew", title = "{Schwarz} alternating and iterative refinement methods for mixed formulations of elliptic Problems, {Part II}: {Theory}", journal = j-NUM-MATH, year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear", } @Book{Miller:1993:AAC, editor = "J. J. H. Miller", title = "Applications of advanced computational methods for boundary and interior layers", publisher = pub-BOOLE, address = pub-BOOLE:adr, pages = "viii + 215", year = "1993", ISBN = "1-85748-001-5; 1-85748-002-3", ISBN-13 = "978-1-85748-001-6; 978-1-85748-002-3", MRclass = "65-06 (76-06)", MRnumber = "1245729 (94e:65006)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Advanced Computational Methods for Boundary and Interior Layers, 2", acknowledgement = ack-nhfb, } @Article{Nguyen:1993:NSA, author = "Hoa D. Nguyen and Seungho Paik", title = "A noniterative solution approach for parallel pseudospectral domain decomposition", journal = j-J-SCI-COMPUT, volume = "8", number = "4", pages = "357--372", year = "1993", CODEN = "JSCOEB", DOI = "https://doi.org/10.1007/BF01061144", ISSN = "0885-7474 (print), 1573-7691 (electronic)", ISSN-L = "0885-7474", MRclass = "65N50 (76M25)", MRnumber = "1252148", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Scientific Computing", } @InCollection{Ohring:1993:MDD, author = "Sabine R. {\"O}hring and Sajal K. Das", booktitle = "{Algorithms and computation (Hong Kong, 1993)}", title = "Mapping dynamic data and algorithm structures into product networks", volume = "762", publisher = pub-SV, address = pub-SV:adr, pages = "147--156", year = "1993", MRclass = "68M10 (68M07 68Q10)", MRnumber = "1288771 (95f:68022)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Lecture Notes in Comput. Sci.", acknowledgement = ack-nhfb, } @Article{Oswald:1993:BPE, author = "P. Oswald", title = "On a {BPX-preconditioner} for {$ {\rm P}1 $} elements", journal = j-COMPUTING, volume = "51", number = "2", pages = "125--133", year = "1993", CODEN = "CMPTA2", DOI = "https://doi.org/10.1007/BF02243847", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65F35 (65F10 65N30)", MRnumber = "1248895 (94k:65064)", MRreviewer = "Ljiljana Petkovi{\'c}", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Computing. Archives for Scientific Computing", } @Article{Ovtchinnikov:1993:CWC, author = "E. Ovtchinnikov", title = "On the construction of a well-conditioned basis for the projection decomposition method", journal = j-CALCOLO, volume = "30", number = "3", pages = "255--271 (1994)", year = "1993", CODEN = "CDABAE", DOI = "https://doi.org/10.1007/BF02575856", ISSN = "0008-0624 (print), 1126-5434 (electronic)", MRclass = "65N30", MRnumber = "1353270 (96g:65110)", MRreviewer = "D. Schultz", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Calcolo. A Quarterly on Numerical Analysis and Theory of Computation", } @TechReport{Pavarino:1993:ISM, author = "Luca F. Pavarino and Olof B. Widlund", title = "Iterative Substructuring Methods for p-version Finite Elements in Three Dimensions", institution = "Courant Institute of Mathematical Sciences, Department of Computer Science", year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "To appear", } @TechReport{Pavarino:1993:SML, author = "Luca F. Pavarino", title = "{Schwarz} Methods with Local Refinement for the p-version Finite Element Method", number = "TR93-01", institution = "Rice University, Department of Computational and Applied Mathematics", month = jan, year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Submitted to Numer. Math.", } @InProceedings{Pavarino:1993:SSA, author = "Luca F. Pavarino", editor = "Alfio Quarteroni", booktitle = "Sixth Conference on Domain Decomposition Methods for Partial Differential Equations", title = "Some {Schwarz} Algorithms for the p-version Finite Element Method", publisher = pub-AMS, address = pub-AMS:adr, year = "1993", bibdate = "Wed May 4 18:52:09 MDT 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", note = "Held in Como, Italy, June 15--19,1992. To appear. Technical report 614, Department of Computer Science, Courant Institute", } @InCollection{Peric:1993:PMS, author = "M. Peri{\'c} and E. Schreck", booktitle = "{Numerische Algorithmen auf Transputer-Systemen (Heidelberg, 1991)}", title = "{Ein paralleler Mehrgitteralgorithmus zur Str{\"o}mungsberechnung mittels Gebietszerlegung}. ({German}) [{A} parallel multi-lattice algorithm for flow computation via area dismantling]", publisher = pub-TEUBNER, address = pub-TEUBNER:adr, pages = "189--206", year = "1993", MRclass = "65N06 (65Y05)", MRnumber = "1239223", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Teubner Skr. Numer.", acknowledgement = ack-nhfb, language = "German", } @InProceedings{Prager:1993:TPI, author = "Milan Pr{\'a}ger", booktitle = "{Proceedings of ISNA '92---International Symposium on Numerical Analysis, Part II (Prague, 1992)}", title = "A two parameter iterative method for solving algebraic systems of domain decomposition type", volume = "38(6)", publisher = "Mathematical Institute, Academy of Science of the Czech Republic", address = "Prague, Czech Republic", pages = "470--478", year = "1993", CODEN = "APMTEO", ISSN = "0862-7940", MRclass = "65F10 (65M55 65N22 65N55)", MRnumber = "1241450 (94i:65046)", MRreviewer = "Li Shan Kang", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = j-APPL-MATH, acknowledgement = ack-nhfb, fjournal = "Applications of Mathematics", } @TechReport{Rice:1993:CAN, author = "John R. Rice and E. A. Vavalis and D. Yang", title = "Convergence Analysis of a Non-Overlapping Domain Decomposition Method for Elliptic {PDEs}", type = "Technical report", number = "TR-93-048", institution = inst-CS-PURDUE, address = inst-CS-PURDUE:adr, pages = "8", month = jul, year = "1993", bibdate = "Sun Dec 30 13:46:29 2007", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/rice-john-r.bib", URL = "http://www.cs.purdue.edu/research/technical_reports/1993/TR%2093-048.pdf", acknowledgement = ack-nhfb, } @Article{Roeck:1993:NES, author = "Yann-Herve De Roeck", title = "Nonlinear elasticity solved by a domain decomposition method on a hypercube", journal = j-APPL-NUM-MATH, volume = "12", number = "5", pages = "459--471", year = "1993", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", bibdate = "Fri Oct 22 11:34:57 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", acknowledgement = ack-nhfb, } @Article{Rui:1993:SAM, author = "Hong Xing Rui", title = "A {Schwarz} alternating method for a class of parabolic equations and error analyses", journal = "Numer. Math. J. Chinese Univ.", volume = "15", number = "4", pages = "360--368", year = "1993", ISSN = "1000-081X", MRclass = "65M55 (65M12)", MRnumber = "1271307 (94m:65152)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Mathematics. A Journal of Chinese Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao", } @Article{Rusten:1993:SPE, author = "Torgeir Rusten and Ragnar Winther", title = "Substructure preconditioners for elliptic saddle point problems", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "23--48", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N55 (65F10 65N30 76S05)", MRnumber = "93d:65108", MRreviewer = "M. M. Sussman", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, classcodes = "B0290T (Finite element analysis); B0290P (Differential equations); B0290H (Linear algebra); C4185 (Finite element analysis); C4170 (Differential equations); C4140 (Linear algebra)", corpsource = "Dept. of Math., Oslo Univ., Blindern, Norway", keywords = "analysis; boundary conditions; boundary-value problems; Dirichlet boundary conditions; discretizations; domain decomposition preconditioners; elliptic equations; elliptic saddle point; finite element; interior boundary; iteration; iterative methods; linear systems; matrix algebra; mesh parameter; minimum residual method; mixed finite element; Neumann; problems; second-order elliptic boundary value", treatment = "T Theoretical or Mathematical", } @TechReport{Sarkis:1993:TLS, author = "Marcus Sarkis", title = "Two-Level {Schwarz} Methods for Nonconforming Finite Elements and Discontinuous Coefficients", number = "629", institution = "Courant Institute of Mathematical Sciences, Department of Computer Science", month = mar, year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Shishkin:1993:IGM, author = "G. I. Shishkin", title = "Iterative grid methods for singularly perturbed elliptic equations degenerating into zero-order ones", journal = j-RUSS-J-NUM-ANAL-MATH-MODEL, volume = "8", number = "4", pages = "341--369", year = "1993", CODEN = "RJNMEH", DOI = "https://doi.org/10.1515/rnam.1993.8.4.341", ISSN = "0927-6467", MRclass = "65N06 (65N55)", MRnumber = "1244045 (95h:65075)", MRreviewer = "V. D. Glushenkov", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Russian Journal of Numerical Analysis and Mathematical Modelling", } @InProceedings{Singh:1993:PAF, author = "Jaswinder P. Singh and Chris Holt and John L. Hennessy and Anoop Gupta", title = "A Parallel Adaptive Fast Multipole Method", crossref = "IEEE:1993:PSP", pages = "54--67", year = "1993", bibdate = "Tue Oct 27 18:18:33 MST 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/bibnet/subjects/fastmultipole.bib; http://www.math.utah.edu/pub/tex/bib/supercomputing93.bib", acknowledgement = ack-nhfb, affiliation = "Stanford Univ", affiliationaddress = "Stanford, CA, USA", classification = "723; 723.5; C4190 (Other numerical methods); C4240P (Parallel programming and algorithm theory); C7320 (Physics and chemistry computing); C7350 (Astronomy and astrophysics computing)", corpsource = "Comput. Sys. Lab., Stanford Univ., CA, USA", keywords = "45-fold speedups; 48-processor Stanford DASH machine; Adaptive fast multipole method; architectures; astronomy computing; Computer simulation; Data locality; data locality; effective parallel performance; Fast multipole method (FMM); galactic simulations; load balancing; N-body applications; N-body problems; parallel adaptive fast multipole method; parallel algorithms; Parallel processing systems; physics computing; representative N- body application; resource allocation; shared address space multiprocessor; shared memory systems; Stanford dash machine; Static domain decomposition; Two-ring Kendall Square Research KSR-1; two-ring Kendall Square Research KSR-1; uniform FMM", sponsororg = "IEEE; ACM SIGARCH", treatment = "P Practical", xxpages = "54--65", } @Article{Smith:1993:PIIa, author = "Barry F. Smith", title = "A Parallel Implementation of an Iterative Substructuring Algorithm for Problems in Three Dimensions", journal = j-SIAM-J-SCI-STAT-COMP, volume = "14", number = "2", pages = "406--423", month = mar, year = "1993", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @Article{Strikwerda:1993:DDM, author = "John C. Strikwerda and Carl D. Scarbnick", title = "A domain decomposition method for incompressible viscous flow", journal = j-SIAM-J-SCI-COMP, volume = "14", number = "1", pages = "49--67", month = jan, year = "1993", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N55 (76D05 76D07 76M20)", MRnumber = "93h:65156", bibdate = "Tue Apr 29 18:15:07 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, } @Article{Swann:1993:ULM, author = "Howard Swann", title = "On the use of {Lagrange} multipliers in domain decomposition for solving elliptic problems", journal = j-MATH-COMPUT, volume = "60", number = "201", pages = "49--78", month = jan, year = "1993", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N30 (65N15 65N35)", MRnumber = "93d:65101", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, classcodes = "B0290T (Finite element analysis); B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4185 (Finite element analysis); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Dept. of Math. and Comput. Sci., San Jose State Univ., CA, USA", keywords = "analysis; convergence; convergence of numerical methods; domain decomposition; elliptic equations; elliptic problems; equations; error; error estimates; finite element analysis; finite element approximations; homogeneous Dirichlet problem; hybrid method; Lagrange; multipliers; partial differential; PDE; primal; selfadjoint equations; variational techniques", treatment = "T Theoretical or Mathematical", } @Article{Szyld:1993:VAS, author = "Daniel B. Szyld and Olof B. Widlund", title = "Variational Analysis of Some Conjugate Gradient Methods", journal = j-EW-J-NUM-MATH, volume = "1", number = "1", pages = "51--74", year = "1993", MRclass = "65F10", MRnumber = "94m:65058", MRreviewer = "Zuhe Shen", bibdate = "Fri Oct 23 19:09:40 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib", } @InCollection{Tallec:1993:DDM, author = "P. Le Tallec and J. A. Sousa Rodrigues", booktitle = "{Finite elements in fluids, Part I, II (Barcelona, 1993)}", title = "Domain decomposition method with nonmatching grids applied to fluid dynamics", publisher = "Centro Internac. M{\'e}todos Num{\'e}r. Ing.", address = "Barcelona, Spain", pages = "418--426", year = "1993", MRclass = "76M25 (65N55 76M10)", MRnumber = "1292054", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Tallec:1993:NND, author = "Patric Le Tallec", title = "Neumann-{Neumann} domain decomposition algorithms for solving {$2$D} elliptic problems with nonmatching grids", journal = j-EW-J-NUM-MATH, volume = "1", number = "2", pages = "129--146", year = "1993", CODEN = "EJNMEA", ISSN = "0928-0200", MRclass = "65N12 (65N55)", MRnumber = "1253632 (95b:65129)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "East-West Journal of Numerical Mathematics", } @InCollection{Timmermans:1993:SMA, author = "L. J. P. Timmermans and F. N. {van de Vosse}", booktitle = "{Numerical methods for advection-diffusion problems}", title = "Spectral methods for advection-diffusion problems", volume = "45", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "171--194", year = "1993", MRclass = "76M25 (65M70)", MRnumber = "1251541 (94k:76079)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Notes Numer. Fluid Mech.", acknowledgement = ack-nhfb, } @Article{Tzaferopoulos:1993:DCS, author = "M. A. Tzaferopoulos and P. D. Panagiotopoulos", title = "Delamination of composites as a substationarity problem: numerical approximation and algorithms", journal = j-COMPUT-METH-APPL-MECH-ENG, volume = "110", number = "1--2", pages = "63--85", year = "1993", CODEN = "CMMECC", DOI = "https://doi.org/10.1016/0045-7825(93)90020-X", ISSN = "0045-7825, 0374-2830", MRclass = "73K20 (73V05 73V25)", MRnumber = "1255012 (94i:73067)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Computer Methods in Applied Mechanics and Engineering", } @Book{Vajtersic:1993:AEP, author = "Mari{\'a}n Vajter{\v{s}}ic", title = "Algorithms for elliptic problems", volume = "58", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "xviii + 292", year = "1993", ISBN = "0-7923-1918-4", ISBN-13 = "978-0-7923-1918-4", MRclass = "65-02 (65N06 65Y05)", MRnumber = "1246333 (95a:65003)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Efficient sequential and parallel solvers, Translated from the 1988 Slovak edition by Jozef Draveck{\'y}", series = "Mathematics and its Applications (East European Series)", acknowledgement = ack-nhfb, } @InProceedings{VanderWijngaart:1993:EID, author = "Rob F. {Van der Wijngaart}", title = "Efficient Implementation of a {3-Dimensional ADI} Method on the {iPSC\slash 860}", crossref = "IEEE:1993:PSP", pages = "102--111", year = "1993", bibdate = "Wed Apr 15 12:04:03 MDT 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/supercomputing93.bib", acknowledgement = ack-nhfb, affiliation = "NASA Ames Research Cent", affiliationaddress = "Moffett Field, CA, USA", classification = "641.2; 723; 921; C4170 (Differential equations); C4240P (Parallel programming and algorithm theory); C6120 (File organisation)", corpsource = "NASA Ames Res. Center, Moffett Field, CA, USA", keywords = "3-dimensional ADI method; Algorithms; alternating direction implicit; Bruno-Cappello decomposition; computations-communications overlap; Computer aided analysis; Differential equations; distributed memory systems; domain decomposition strategies; Heat transfer; Implicit numerical algorithms; Intel iPSC/860; Intel iPSC/860 processor; load balancing; memory efficiency; MIMD distributed memory parallel computer; Network latency; network latency; numerical algorithm; numerical analysis; optimal computational speed; parallel algorithms; Parallel processing systems; partial differential equations; processor idle time; resource allocation; storage allocation; storage requirements; Three dimensional heat equation; Three-dimensional adi method; three-dimensional heat equation; three-dimensional partial differential equations", sponsororg = "IEEE; ACM SIGARCH", treatment = "T Theoretical or Mathematical", } @Article{Yang:1993:SDD, author = "Dan-ping Yang", title = "{Schwarz} domain decomposition algorithms for boundary element method", journal = "Numer. Math. J. Chinese Univ. (English Ser.)", volume = "2", number = "2", pages = "154--161", year = "1993", ISSN = "1004-8979 (print), 2079-7338 (electronic)", MRclass = "65M55", MRnumber = "1390728 (97b:65112)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Mathematics. A Journal of Chinese Universities. (English Series)", } @Article{Zhang:1993:OPD, author = "Sheng Zhang", title = "Optimal preconditioning in the domain decomposition method for second-order elliptic equations", journal = "Math. Numer. Sinica", volume = "15", number = "2", pages = "235--241", year = "1993", ISSN = "0254-7791", MRclass = "65N55", MRnumber = "1392604 (97a:65110)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @Article{Adzic:1994:DDS, author = "Nevenka Ad{\v{z}}i{\'c}", title = "Domain decomposition for spectral approximation of the layer solution", journal = "Zb. Rad. Prirod.-Mat. Fak. Ser. Mat.", volume = "24", number = "1", pages = "347--357", year = "1994", ISSN = "0352-0900", MRclass = "65L50 (34A45)", MRnumber = "1333594 (96b:65076)", MRreviewer = "Beny Neta", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Zbornik Radova Prirodno-Matematichkog Fakulteta. Serija za Matematiku. Review of Research. Faculty of Science. Mathematics Series", } @InProceedings{Ambrosiano:1994:HCS, author = "J. J. Ambrosiano and J. Bolstad and A. J. Bourgeois and J. C. Brown", title = "High-Performance Climate System Modeling Using a Domain and Task Decomposition Message-Passing Approach", crossref = "IEEE:1994:PSH", pages = "397--405", year = "1994", bibdate = "Mon Aug 26 10:38:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, } @TechReport{Bjorstad:1994:PDDa, author = "P. E. Bj{\o}rstad and W. M. {Coughran, Jr.} and E. H. Grosse", title = "Parallel Domain Decomposition Applied to Coupled Transport Equations", type = "Numerical Analysis Manuscript", number = "94-3", institution = pub-ATT-BELL, address = pub-ATT-BELL:adr, year = "1994", bibdate = "Fri Nov 11 15:54:40 MST 1994", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/c/coughran-william-m.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/coughran-william-m.bib", URL = "ftp://netlib.bell-labs.com/netlib/att/cs/doc/94/4-03.ps.gz", acknowledgement = ack-nhfb, } @InProceedings{Bubak:1994:FLG, author = "M. Bubak and J. Moscinski and R. Slota", title = "{FHP} lattice gas on networked workstations", crossref = "Gruber:1994:PJE", pages = "427--430", year = "1994", bibdate = "Sun Dec 22 10:20:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", acknowledgement = ack-nhfb, affiliation = "Inst. of Control Sci., Cracow, Poland", classification = "A0550 (Lattice theory and statistics; A4710 (General fluid dynamics theory, simulation and other computational methods); C4240P (Parallel programming and algorithm theory); C6110P (Parallel programming); C6150N (Distributed systems software); C6185 (Simulation techniques); C7320 (Physics and chemistry computing); Ising problems)", keywords = "Computer power; Domain decomposition; Dynamic load balancing; FHP lattice gas; Fluid flows; Lattice gas simulation; Networked workstations; Normal load; Parallel algorithm; Parallel distributed program; PVM", thesaurus = "Digital simulation; Flow simulation; Fluid dynamics; Lattice gas; Local area networks; Operating systems [computers]; Parallel algorithms; Parallel programming; Physics computing; Resource allocation; Workstations", } @InProceedings{Bubak:1994:IPL, author = "M. Bubak and J. Moscinski and R. Slota", title = "Implementation of Parallel Lattice Gas Program on Workstations under {PVM}", crossref = "Dongarra:1994:PSC", pages = "136--146", year = "1994", bibdate = "Wed Apr 16 06:39:19 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", acknowledgement = ack-nhfb, affiliation = "Inst. of Comput. Sci, Akademia Gorniczo-Hutnicza, Cracow, Poland", classification = "A0270 (Computational techniques); A0545 (Theory and models of chaotic systems); A0550 (Lattice theory and statistics; A4710 (General fluid dynamics theory, simulation and other computational methods); C4220 (Automata theory); C4240P (Parallel programming and algorithm theory); C6110P (Parallel programming); C7320 (Physics and chemistry computing); Ising problems)", conflocation = "Lyngby, Denmark; 20-23 June 1994", conftitle = "Proceedings of Workshop on Parallel Scientific Computing", corpsource = "Inst. of Comput. Sci, Akademia Gorniczo-Hutnicza, Cracow, Poland", keywords = "algorithms; balancing; cellular automata; domain decomposition; Domain decomposition; dynamic load; Dynamic load balancing; flow simulation; fluid flow simulation; Fluid flow simulation; lattice gas; lattice gas automata program; Lattice gas automata program; parallel; parallel lattice gas program; Parallel lattice gas program; physics computing", pubcountry = "Germany", sponsororg = "Danish Comput. Centre for Res. and Educ.; Inst. Math. Modelling; Tech. Univ. Denmark", thesaurus = "Cellular automata; Flow simulation; Lattice gas; Parallel algorithms; Physics computing", treatment = "T Theoretical or Mathematical", } @Article{Cai:1994:CSD, author = "Xiao-Chuan Cai and William D. Gropp and David E. Keyes", title = "A Comparison of Some Domain Decomposition and {$ I L U $} Preconditioned Iterative Methods for Nonsymmetric Elliptic Problems", journal = j-NUM-LIN-ALG-APPL, volume = "1", number = "5", pages = "477--504", year = "1994", CODEN = "NLAAEM", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65N55", MRnumber = "95i:65172", bibdate = "Thu Jan 23 18:22:28 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/numlinaa.bib", acknowledgement = ack-nhfb, journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", } @InCollection{Cai:1994:PIM, author = "X.-C. Cai and W. D. Gropp and D. E. Keyes and M. D. Tidriri", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Parallel implicit methods for aerodynamics", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "465--470", year = "1994", MRclass = "76M25 (76G25)", MRnumber = "1611307", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Camilli:1994:DDM, author = "F. Camilli and M. Falcone and P. Lanucara and A. Seghini", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "A domain decomposition method for {Bellman} equations", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "477--483", year = "1994", MRclass = "65N55 (49L25)", MRnumber = "1312414 (95j:65159)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @Article{Chan:1994:ASD, author = "Tony F. Chan and Jun Zou", title = "Additive {Schwarz} domain decomposition methods for elliptic problems on unstructured meshes", journal = j-NUMER-ALGORITHMS, volume = "8", number = "2--4", pages = "329--346", month = jan, year = "1994", CODEN = "NUALEG", ISSN = "1017-1398 (print), 1572-9265 (electronic)", MRclass = "65N55 (65N30)", MRnumber = "95i:65174", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib", note = "See erratum \cite{Chan:1995:EAS}.", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); B0290T (Finite element analysis); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", keywords = "additive Schwarz domain decomposition methods; convergence of numerical methods; elliptic equations; elliptic problems; finite element problems; global coarse mesh; mesh generation; optimal convergence; Schwarz domain decomposition methods; structured meshes; unstructured meshes", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Chan:1994:DDM, author = "Tony F. Chan and Barry F. Smith", title = "Domain decomposition and multigrid algorithms for elliptic problems on unstructured meshes", journal = j-ELECTRON-TRANS-NUMER-ANAL, volume = "2", pages = "171--182", year = "1994", CODEN = "????", ISSN = "1068-9613 (print), 1097-4067 (electronic)", bibdate = "Mon Sep 6 12:28:29 MDT 2010", bibsource = "http://etna.mcs.kent.edu/; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/etna.bib", URL = "http://etna.mcs.kent.edu/vol.2.1994/pp171-182.dir/pp171-182.pdf", acknowledgement = ack-nhfb, fjournal = "Electronic Transactions on Numerical Analysis", } @Article{Chan:1994:EVV, author = "Tony F. Chan and Tarek P. Mathew and Jian Ping Shao", title = "Efficient Variants of the Vertex Space Domain Decomposition Algorithm", journal = j-SIAM-J-SCI-COMP, volume = "15", number = "6", pages = "1349--1374", month = nov, year = "1994", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N55", MRnumber = "95m:65209", MRreviewer = "J. W. Neuberger", bibdate = "Tue Apr 29 18:25:50 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, } @Article{Chu:1994:CGD, author = "De Lin Chu and Xian Cheng Hu", title = "The convergence of {Glowinski}'s domain decomposition algorithm for the {Stokes} equations", journal = "Acta Math. Appl. Sinica", volume = "17", number = "4", pages = "489--500", year = "1994", CODEN = "YYSPDS", ISSN = "0254-3079", MRclass = "65N12 (65N55 76D07 76M25)", MRnumber = "1334368 (96d:65177)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Acta Mathematicae Applicatae Sinica. Yingyong Shuxue Xuebao", } @Article{Chu:1994:DDM, author = "De Lin Chu and Xian Cheng Hu", title = "A domain decomposition method for solving second-order elliptic equations with finite difference approximations", journal = "Math. Numer. Sinica", volume = "16", number = "3", pages = "233--246", year = "1994", ISSN = "0254-7791", MRclass = "65N55", MRnumber = "1392848 (97a:65103)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @Article{Ciarlet:1994:IDD, author = "P. Ciarlet", title = "Implementation of a Domain Decomposition Method Well-Suited for (Massively) Parallel Architectures", journal = j-INT-J-HIGH-SPEED-COMPUTING, volume = "6", number = "1", pages = "157--??", year = "1994", CODEN = "IHSCEZ", ISSN = "0129-0533", bibdate = "Mon Feb 25 11:19:25 MST 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/ijhsc.bib; OCLC Article1st database", acknowledgement = ack-nhfb, } @InCollection{Coomer:1994:DDM, author = "R. K. Coomer and I. G. Graham", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Domain decomposition methods for device modelling", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "491--496", year = "1994", MRclass = "65N55 (65F10)", MRnumber = "1312415 (95j:65160)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Coron:1994:CBF, author = "F. Coron", booktitle = "{Computational aeronautical fluid dynamics (Antibes, 1989)}", title = "Coupling {Boltzmann} and fluid equations", volume = "44", publisher = "Oxford Univ. Press", address = "New York, NY, USA", pages = "71--78", year = "1994", MRclass = "76P05 (76K05)", MRnumber = "1383828 (97a:76107)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Inst. Math. Appl. Conf. Ser. New Ser.", acknowledgement = ack-nhfb, } @Article{Dawson:1994:EIC, author = "Clint N. Dawson and Todd F. Dupont", title = "Explicit\slash Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences", journal = j-SIAM-J-NUMER-ANAL, volume = "31", number = "4", pages = "1045--1061", month = aug, year = "1994", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65M55 (65M06 65M12)", MRnumber = "95c:65148", MRreviewer = "Bruno Scheurer", bibdate = "Mon Jan 20 15:27:00 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib", acknowledgement = ack-nhfb, } @InCollection{Dawson:1994:TGM, author = "Clint N. Dawson and Mary F. Wheeler", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Two-grid methods for mixed finite element approximations of nonlinear parabolic equations", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "191--203", year = "1994", MRclass = "65M60 (65M55)", MRnumber = "1312392 (95j:65117)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @Article{Dryja:1994:DDA, author = "Maksymilian Dryja and Olof B. Widlund", title = "Domain Decomposition Algorithms with Small Overlap", journal = j-SIAM-J-SCI-COMP, volume = "15", number = "3", pages = "604--620", month = may, year = "1994", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N55 (65F10)", MRnumber = "95d:65102", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Tue Apr 29 18:25:50 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", note = "Iterative methods in numerical linear algebra (Copper Mountain Resort, CO, 1992).", acknowledgement = ack-nhfb, } @InProceedings{Ernst:1994:DDA, author = "Oliver Ernst and Gene H. Golub", title = "A domain decomposition approach to solving the {Helmholtz} equation with a radiation boundary condition", crossref = "Quarteroni:1994:DDM", pages = "177--192", year = "1994", MRclass = "65N55 (65F10)", MRnumber = "95c:65210", MRreviewer = "Jan Mandel", bibdate = "Sun Jan 14 08:39:33 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/g/golub-gene-h.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/golub-gene-h.bib", acknowledgement = ack-nhfb # " and " # ack-sf, } @Article{Escaig:1994:PMD, author = "Y. Escaig and G. Touzot and M. Vayssade", title = "Parallelization of a multilevel domain decomposition method", journal = j-COMPUT-SYST-ENG, volume = "5", number = "3", pages = "253--263", month = jun, year = "1994", CODEN = "COSEEO", ISSN = "0956-0521", bibdate = "Sun Dec 22 10:18:08 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", acknowledgement = ack-nhfb, affiliation = "CRIHAN, Mont Saint Aignan, France", classification = "C4185 (Finite element analysis); C5220P (Parallel architecture); C5440 (Multiprocessing systems); C5470 (Performance evaluation and testing); C7310 (Mathematics computing)", keywords = "CRAY Y-MP; Distributed memory machines; Distributed memory systems; Ethernet network; Finite element method; IBM RS/6000 workstations; Interface problem; MIMD; Multilevel domain decomposition method; Multiple instructions multiple data; Multiprocessor machines; Parallel Virtual Machine; Performance; PVM; Shared memory machine; Shared memory systems", pubcountry = "UK", thesaurus = "Cray computers; Distributed memory systems; Finite element analysis; IBM computers; Mathematics computing; Performance evaluation; Shared memory systems", } @Book{Evans:1994:PIM, editor = "David J. Evans", title = "Preconditioned iterative methods", volume = "4", publisher = "Gordon and Breach Science Publishers", address = "Lausanne, Switzerland", pages = "xii + 491", year = "1994", ISBN = "2-88124-956-6", ISBN-13 = "978-2-88124-956-3", MRclass = "65-06", MRnumber = "1632352 (99d:65007)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Topics in Computer Mathematics", acknowledgement = ack-nhfb, } @Article{Ewing:1994:APP, author = "R. E. Ewing and R. D. Lazarov", title = "Approximation of parabolic problems on grids locally refined in time and space", journal = j-APPL-NUM-MATH, volume = "14", number = "1--3", pages = "199--211", day = "14", month = apr, year = "1994", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65M06", MRnumber = "1 273 825", bibdate = "Wed Jul 28 14:35:41 MDT 1999", bibsource = "Compendex database; http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1994&volume=14&issue=1-3; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", note = "Proceedings of the Third ARO Workshop on Adaptive Methods for Partial Differential Equations (Troy, NY, 1992)", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1994&volume=14&issue=1-3&aid=454", acknowledgement = ack-nhfb, affiliation = "Univ of Wyoming", affiliationaddress = "Laramie, WY, USA", classification = "921.1; 921.6", journalabr = "Appl Numer Math", keywords = "A posteriori error estimator; Approximation theory; Composite grid system; Convergence of numerical methods; Convergence theory; Domain decomposition technique; Errors; Estimation; Finite difference method; Galerkin method; Grids; Interpolation; Iterative methods; Mathematical models; Piecewise constant; Piecewise linear interpolation; Piecewise linear techniques; Time dependent problems", } @Article{Falcone:1994:SAH, author = "Maurizio Falcone and Piero Lanucara and Alessandra Seghini", title = "A splitting algorithm for {Hamilton--Jacobi--Bellman} equations", journal = j-APPL-NUM-MATH, volume = "15", number = "2", pages = "207--218", day = "13", month = sep, year = "1994", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "49L25 (65M55)", MRnumber = "95h:49053", MRreviewer = "Min Sun", bibdate = "Wed Jul 28 14:35:48 MDT 1999", bibsource = "Compendex database; http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1994&volume=15&issue=2; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", note = "Innovative methods in numerical analysis (Bressanone, 1992).", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1994&volume=15&issue=2&aid=493", acknowledgement = ack-nhfb, affiliation = "Universita di Roma `La Sapienza'", affiliationaddress = "Roma, Italy", classification = "731.1; 921.2; 921.5; 921.6", journalabr = "Appl Numer Math", keywords = "Algorithms; Approximation theory; Computational methods; Convergence of numerical methods; Differential equations; Domain decomposition; Dynamic programming; Function evaluation; Hamilton Jacobi Bellman equations; Optimal control systems; Splitting algorithms; Viscosity solutions", } @InCollection{Farhat:1994:TDD, author = "Charbel Farhat and Po-Shu Chen", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Tailoring domain decomposition methods for efficient parallel coarse grid solution and for systems with many right-hand sides", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "401--406", year = "1994", MRclass = "65N55 (65Y05)", MRnumber = "1312411", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @Article{Garbey:1994:DDS, author = "Marc Garbey", title = "Domain Decomposition to Solve Transition Layers and Asymptotics", journal = j-SIAM-J-SCI-COMP, volume = "15", number = "4", pages = "866--891", month = jul, year = "1994", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65M55 (65M70)", MRnumber = "95a:65157", bibdate = "Tue Apr 29 18:25:50 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, } @Article{Gastaldi:1994:DDT, author = "Fabio Gastaldi and Lucia Gastaldi", title = "On a domain decomposition for the transport equation: theory and finite element approximation", journal = j-IMA-J-NUMER-ANAL, volume = "14", number = "1", pages = "111--135", year = "1994", CODEN = "IJNADH", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65N55 (35F15 76M25)", MRnumber = "95a:65204", MRreviewer = "G. Albinus", bibdate = "Sat Dec 23 17:06:35 MST 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Glowinski:1994:OSD, author = "Roland Glowinski and Tsorng-Whay Pan and Jacques P{\'e}riaux", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "A one shot domain decomposition/fictitious domain method for the {Navier--Stokes} equations", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "211--222", year = "1994", MRclass = "65M55 (65M60 76D05 76M25)", MRnumber = "1312393", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Griebel:1994:DOM, author = "M. Griebel", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Domain-oriented multilevel methods", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "223--229", year = "1994", MRclass = "65N55", MRnumber = "1312394", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @Article{Gu:1994:DDM, author = "Jin Sheng Gu and Xian Cheng Hu", title = "Domain decomposition methods for solving elliptic problems with two nonoverlapping substructures", journal = "Math. Numer. Sinica", volume = "16", number = "4", pages = "432--447", year = "1994", ISSN = "0254-7791", MRclass = "65N30", MRnumber = "1393869 (97b:65130)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @Article{Gu:1994:ODD, author = "Jin Sheng Gu and Xian Cheng Hu", title = "Overlapping domain decomposition methods with multiple subdomains for elliptic problems", journal = "J. Tsinghua Univ.", volume = "34", number = "6", pages = "50--57", year = "1994", CODEN = "QDXKE8", ISSN = "1000-0054", MRclass = "65N55 (65N12)", MRnumber = "1350705 (96h:65146)", MRreviewer = "Tsorng-Whay Pan", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Tsinghua University. Science and Technology. Qinghua Daxue Xuebao. Ziran Kexue Ban", } @Article{Gu:1994:PSA, author = "Jin Sheng Gu and Xian Cheng Hu", title = "The parallel {Schwarz} alternating method for boundary-degenerate elliptic problems", journal = "Numer. Math. J. Chinese Univ.", volume = "16", number = "2", pages = "116--125", year = "1994", ISSN = "1000-081X", MRclass = "65N30 (65N15)", MRnumber = "1350921 (96i:65099)", MRreviewer = "Sui Yang Chen", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Mathematics. A Journal of Chinese Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao", } @Article{He:1994:ASL, author = "Zi Gan He and Chuan Hong Sun", title = "The analysis of the separated-layers algorithm by domain decomposition method", journal = "J. Hydrodyn. Ser. B (English Ed.)", volume = "6", number = "3", pages = "64--69", year = "1994", CODEN = "JOUHEI", ISSN = "1001-6058", MRclass = "76M25 (65N55)", MRnumber = "1321286 (96d:76076)", MRreviewer = "Lutz Tobiska", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Hydrodynamics. Series B (English Edition)", } @InCollection{Holst:1994:MDD, author = "Michael Holst and Faisal Saied", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Multigrid and domain decomposition methods for electrostatics problems", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "231--238", year = "1994", MRclass = "65N55 (78-08 92-08)", MRnumber = "1312395", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Hsiao:1994:ECM, author = "George C. Hsiao and Michael D. Marcozzi and Shangyou Zhang", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "An efficient computational method for the flow past an airfoil", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "497--502", year = "1994", MRclass = "76M10 (65N30 76B05 76M15)", MRnumber = "1312416", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @Article{Karageorghis:1994:CSM, author = "Andreas Karageorghis", title = "Conforming spectral methods for {Poisson} problems in cuboidal domains", journal = j-J-SCI-COMPUT, volume = "9", number = "3", pages = "341--350", year = "1994", CODEN = "JSCOEB", DOI = "https://doi.org/10.1007/BF01575037", ISSN = "0885-7474 (print), 1573-7691 (electronic)", ISSN-L = "0885-7474", MRclass = "65N35 (65N30)", MRnumber = "1315229 (95k:65115)", MRreviewer = "K. Moszy{\'n}ski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Scientific Computing", } @InCollection{Katzer:1994:PSD, author = "Edgar Katzer", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "A parallel subspace decomposition method for hyperbolic equations", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "239--244", year = "1994", MRclass = "65M55", MRnumber = "1312396", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Kim:1994:NTH, author = "Seongjai Kim", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Numerical treatments for the {Helmholtz} problem by domain decomposition techniques", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "245--250", year = "1994", MRclass = "65N55", MRnumber = "1312397", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Kuznetsov:1994:SMO, author = "Yu. A. Kuznetsov and P. Neittaanm{\"a}ki and P. Tarvainen", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "{Schwarz} methods for obstacle problems with convection-diffusion operators", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "251--256", year = "1994", MRclass = "65K05 (65N55)", MRnumber = "1312398", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @Article{Lai:1994:DDD, author = "C.-H. Lai", title = "Diakoptics, domain decomposition and parallel computing", journal = j-COMP-J, volume = "37", number = "10", pages = "840--846", month = "????", year = "1994", CODEN = "CMPJA6", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Wed Jul 21 09:54:19 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/compj1990.bib; http://www3.oup.co.uk/computer_journal/Volume_37/Issue_10/Vol37_10.index.html", URL = "http://www3.oup.co.uk/computer_journal/Volume_37/Issue_10/Vol37_10.body.html#AbstractLai", acknowledgement = ack-nhfb, affiliation = "Sch. of Math., Stat. and Sci. Comput., Univ. of Greenwich, London, UK", author-1-adr = "School of Mathematics, Statistics and Scientific Computing, University of Greenwich, Wellington Street, Woolwich, London SE18 6PF, UK", classcodes = "B1110 (Network topology); C6150N (Distributed systems software); C5440 (Multiprocessing systems)", classification = "B1110 (Network topology); C5440 (Multiprocessing systems); C6150N (Distributed systems software)", corpsource = "Sch. of Math., Stat. and Sci. Comput., Univ. of Greenwich, London, UK", keywords = "balancing; diakoptics; Diakoptics; domain decomposition; Domain decomposition; implementation issues; Implementation issues; load; Load balancing; MIMD environment; network topology; parallel computing; Parallel computing; parallel processing; resource allocation; SIMD environment", thesaurus = "Network topology; Parallel processing; Resource allocation", treatment = "G General Review", } @InCollection{Lai:1994:DDS, author = "C.-H. Lai", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "On domain decomposition and shooting methods for two-point boundary value problems", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "257--263", year = "1994", MRclass = "65L10", MRnumber = "1312399 (95j:65086)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @TechReport{Larriba-Pey:1994:APC, author = "Josep-L Larriba-Pey", title = "An analysis of the parallel computation of arbitrarily branched cable neuron models", type = "Technical report", number = "SRC-TR-94-134", institution = inst-SRC-IDA, address = inst-SRC-IDA:adr, pages = "6", day = "1", month = nov, year = "1994", bibdate = "Fri Aug 30 08:01:51 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", abstract = "We present and analyze a parallel method for the solution of partial differential equation models of the nervous system. These models mathematically are one-dimensional nonlinear parabolic equations defined on branching domains. Implicit methods for these equations leads to numerical solution of diagonally dominant almost tridiagonal linear systems at each time step. We first review some exact methods for the solution of these linear systems that includes an Exact Domain Decomposition. This EDD leads to the solution of many tridiagonal linear systems one for each branch. The sizes of these systems is equal to the number of grid points on the branch. Since the branches of realistic neurons vary widely in size, the decomposition leads to a very poor a priori load balance. This problem may be solved with the Overlapped Partition Method, a method for decomposing large diagonally dominant tridiagonal systems. We describe and analyze an algorithm based on EDD and OPM that can be load balanced.", acknowledgement = ack-nhfb, annote = "Supported in part by the Ministry of Education and Science of Spain (CICYT TIC-880/92) and by CEPBA Supported in part by the CEE (ESPRIT). Supported in part by CEPBA.", keywords = "Neural networks (Computer science)", } @InCollection{Layton:1994:RMH, author = "W. Layton and J. Maubach and P. Rabier", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Robust methods for highly nonsymmetric problems", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "265--270", year = "1994", MRclass = "65N55 (65F10)", MRnumber = "1312400", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InProceedings{Li:1994:IMP, author = "P. Li and R. L. Peskin", title = "Implementation of a Mapping Procedure for the Domain Decomposition for {PDEs} in {Maple}", crossref = "Lopez:1994:MVM", pages = "46--54", year = "1994", bibdate = "Sat May 10 09:41:31 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/maple-extract.bib", acknowledgement = ack-nhfb, annote = "Also known as MSWS '94", keywords = "maple; mathematics; MSWS", } @InCollection{Lybeck:1994:DDS, author = "Nancy J. Lybeck and Kenneth L. Bowers", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Domain decomposition via the sinc-{Galerkin} method for second order differential equations", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "271--276", year = "1994", MRclass = "65L10", MRnumber = "1312401", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Mehrabi:1994:FEN, author = "M. Reza Mehrabi and Robert A. Brown", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Finite-element/{Newton} method for solution of nonlinear problems in transport processes using domain decomposition and nested dissection on {MIMD} parallel computers", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "413--425", year = "1994", MRclass = "65N55 (65N30 65Y05)", MRnumber = "1312412", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Mejzlik:1994:BMF, author = "Petr Mejzl{\'\i}k", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "A bisection method to find all solutions of a system of nonlinear equations", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "277--282", year = "1994", MRclass = "65H10", MRnumber = "1312402 (95j:65055)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Mishev:1994:PCC, author = "Ilya D. Mishev", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Preconditioning cell-centered finite difference equations on grids with local refinement", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "283--288", year = "1994", MRclass = "65N06 (65F35)", MRnumber = "1312403 (95j:65127)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Mu:1994:MCP, author = "Mo Mu and John R. Rice", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Modeling with collaborating {PDE} solvers: theory and practice", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "427--438", year = "1994", MRclass = "65Y10 (65C20)", MRnumber = "1312413", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @Article{Mu:1994:PDD, author = "Mo Mu and John R. Rice", title = "Preconditioning for Domain Decomposition through Function Approximation", journal = j-SIAM-J-SCI-COMP, volume = "15", number = "6", pages = "1452--1466", month = nov, year = "1994", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N55", MRnumber = "MR1298624 (95g:65172)", MRreviewer = "O. Widlund", bibdate = "Sat Dec 29 12:36:18 2007", bibsource = "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/siamjscicomput.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/rice-john-r.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", } @InCollection{Nataf:1994:OBC, author = "F. Nataf and F. Rogier", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Outflow boundary conditions and domain decomposition method", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "289--293", year = "1994", MRclass = "65M99 (76M25)", MRnumber = "1312404", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InProceedings{Nguyen:1994:DCE, author = "S. T. Nguyen and B. J. Zook and Xiaodong Zhang", title = "Distributed computation of electromagnetic scattering problems using finite-difference time-domain decompositions", crossref = "IEEE:1994:PTI", pages = "85--93", year = "1994", bibdate = "Sun Dec 22 10:18:08 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", acknowledgement = ack-nhfb, affiliation = "Dept. of Instrum. and Space Res., Southwest Res. Inst., San Antonio, TX, USA", classification = "A0260 (Numerical approximation and analysis); A4110H (Electromagnetic waves: theory); B0290P (Differential equations); B5210 (Electromagnetic wave propagation); C4170 (Differential equations); C4240P (Parallel programming and algorithm theory); C7320 (Physics and chemistry computing)", keywords = "Communication pattern variations; Computing performance; Distributed computation; Distributed memory; Distributed workstation network; Electromagnetic scattering problems; Finite-difference time-domain decompositions; Load balancing; Numerical method; Parallelism; Partial differential equations; PVM; Scalability", thesaurus = "Distributed algorithms; Distributed memory systems; Electromagnetic wave scattering; Finite difference time-domain analysis; Partial differential equations; Physics computing", } @Article{Oswald:1994:CRS, author = "P. Oswald", title = "On the convergence rate of {SOR}: a worst case estimate", journal = j-COMPUTING, volume = "52", number = "3", pages = "245--255", year = "1994", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65F10 (65N22)", MRnumber = "95i:65052", MRreviewer = "G. Maess", bibdate = "Tue Oct 12 16:33:42 MDT 1999", bibsource = "Compendex database; http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/computing.bib; MathSciNet database", acknowledgement = ack-nhfb, classification = "921.1; 921.6", journalabr = "Comput Vienna New York", keywords = "Algorithms; Convergence of numerical methods; Domain decomposition algorithms; Estimation; Iterative methods; Matrix algebra; Successive overrelaxation; Symmetric positive definite systems", } @InCollection{Papadrakakis:1994:DDP, author = "M. Papadrakakis and S. Bitzarakis", booktitle = "{Hellenic European research on mathematics and informatics '94, Vol.\ 1, 2 (Athens, 1994)}", title = "Domain decomposition {PCG} methods for serial and parallel processing", publisher = "Hellenic Mathematical Society", address = "Athens, Greece", pages = "389--411", year = "1994", MRclass = "73V20", MRnumber = "1372296 (96k:73092)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Qiming:1994:DDM, author = "He Qiming and Kang Lishan", title = "The Domain Decomposition Method for Multidimensional and Large Scale Nonlinear Systems---Case of Subdomains Overlapping", journal = j-PARALLEL-ALGORITHMS-APPL, volume = "4", number = "1--2", pages = "77--90", month = "????", year = "1994", CODEN = "PAAPEC", DOI = "https://doi.org/10.1080/10637199408915456", ISSN = "1063-7192", ISSN-L = "1026-7689", bibdate = "Fri Jul 11 06:45:41 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelalgorithmsappl.bib", URL = "http://www.informaworld.com/smpp/content~content=a772745101", acknowledgement = ack-nhfb, } @InCollection{Quarteroni:1994:MAD, author = "Alfio Quarteroni", booktitle = "{First European Congress of Mathematics, Vol.\ II (Paris, 1992)}", title = "Mathematical aspects of domain decomposition methods", volume = "120", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "355--379", year = "1994", MRclass = "65N55 (65M55)", MRnumber = "1341851 (96g:65120)", MRreviewer = "Pieter W. Hemker", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Progr. Math.", acknowledgement = ack-nhfb, } @Article{Reale:1994:PCU, author = "F. Reale and F. Bocchino and S. Sciortino", title = "Parallel computing on {Unix} workstation arrays", journal = j-COMP-PHYS-COMM, volume = "83", number = "2--3", pages = "130--140", month = dec, year = "1994", CODEN = "CPHCBZ", DOI = "https://doi.org/10.1016/0010-4655(94)90042-6", ISSN = "0010-4655 (print), 1879-2944 (electronic)", ISSN-L = "0010-4655", bibdate = "Mon Feb 13 21:29:49 MST 2012", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/compphyscomm1990.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", URL = "http://www.sciencedirect.com/science/article/pii/0010465594900426", acknowledgement = ack-nhfb, affiliation = "Istituto e Osservatorie Astron., Palermo, Italy", classification = "A9575P (Mathematical and computer techniques in astronomy); C5620L (Local area networks); C6110P (Parallel programming); C6115 (Programming support); C6150J (Operating systems); C6150N (Distributed systems software); C7350 (Astronomy and astrophysics computing)", fjournal = "Computer Physics Communications", journal-URL = "http://www.sciencedirect.com/science/journal/00104655", keywords = "2D hydrodynamic code; Alpha processors; Astrophysical flows; Data-domain decomposition; DECstations 3000/400; DECstations 5000/200; Dedicated MIMD parallel system; Ethernet LAN; FDDI LAN; Intel i860 processors; Massive parallel computations; Meiko Computing Surface; MIMD systems; Network bandwidth; Nondedicated parallel systems; Parallel computing; Parallelization library; Processor power; PVM software toolset; Software; Unix workstation arrays", pubcountry = "Netherlands", thesaurus = "Astronomy computing; Astrophysical fluid dynamics; Local area networks; Message passing; Parallel programming; Protocols; Software packages; Unix; Workstations", } @Article{Schwandt:1994:IAD, author = "H. Schwandt", title = "An interval arithmetic domain decomposition method for a class of elliptic {PDEs} on nonrectangular domains", journal = j-J-COMPUT-APPL-MATH, volume = "50", pages = "509--521", month = may, year = "1994", CODEN = "JCAMDI", ISSN = "0377-0427 (print), 1879-1778 (electronic)", bibdate = "Thu Dec 14 17:23:52 MST 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/intarith.bib", note = "Fifth International Congress on Computational and Applied Mathematics", abstract = "We introduce an interval arithmetic domain decomposition method for linear systems with interval coefficients resulting from the application of difference methods for a class of elliptic boundary value problems on domains with irregular geometry. The efficient treatment of such systems is crucial for the efficiency of globally convergent Newton-like interval methods for the corresponding nonlinear problems.", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., Tech. Univ. of Berlin, Germany", classification = "B0290P (Differential equations); C4170 (Differential equations)", confdate = "27 July-1 Aug. 1992", conflocation = "Leuven, Belgium", confsponsor = "NFWO Belgium Nat. Sci. Found; IBM; et al", keywords = "Difference methods; Elliptic boundary value problems; Elliptic PDEs; Globally convergent Newton-like interval methods; Interval arithmetic domain decomposition method; Interval coefficients; Irregular geometry; Linear systems; Nonrectangular domains", pubcountry = "Netherlands", thesaurus = "Boundary-value problems; Partial differential equations", } @InCollection{Scott:1994:EPU, author = "L. Ridgway Scott", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Elliptic preconditioners using fast summation techniques", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "311--323", year = "1994", MRclass = "65Nxx (65Y05 65Y20)", MRnumber = "1312405 (95j:65125)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Shao:1994:MVS, author = "Jian Ping Shao", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "The modified vertex space domain decomposition method for {Neumann} boundary value problems", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "325--336", year = "1994", MRclass = "65N55 (65Y20)", MRnumber = "1312406 (95m:65210)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Shih:1994:MCS, author = "Tsi Min Shih and Chin Bo Liem and Tao L{\"u} and Ai Hui Zhou", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "A multi-color splitting method and convergence analysis for local grid refinement", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "337--342", year = "1994", MRclass = "65N55 (65N12)", MRnumber = "1312407 (95j:65171)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Steinbach:1994:BED, author = "Olaf Steinbach", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Boundary elements in domain decomposition methods", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "343--348", year = "1994", MRclass = "65N38 (65N55)", MRnumber = "1312408 (95j:65153)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @Article{Su:1994:DDM, author = "Chao Wei Su", title = "A domain decomposition method for determining the diffusion coefficient of a two-dimensional linear diffusion equation in the time domain", journal = j-APPL-NUM-MATH, volume = "15", number = "4", pages = "481--493", day = "1", month = nov, year = "1994", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65M30 (65M55 65N55 76M25 76R50)", MRnumber = "95g:65128", bibdate = "Wed Jul 28 14:35:52 MDT 1999", bibsource = "Compendex database; http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1994&volume=15&issue=4; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1994&volume=15&issue=4&aid=511", acknowledgement = ack-nhfb, affiliation = "Northwestern Polytechnical Univ", affiliationaddress = "Xian, China", classification = "921.6", journalabr = "Appl Numer Math", keywords = "Algorithms; Diffusion; Diffusion coefficient; Domain decomposition method; Inverse problems; Iterative methods; Mathematical models; Numerical analysis; Numerical methods; Perturbation techniques; Time domain analysis; Two dimensional linear diffusion equation", } @InCollection{Sun:1994:OSA, author = "Victor H. Sun and Wei-Pai Tang", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "An overdetermined {Schwarz} alternating method", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "349--354", year = "1994", MRclass = "65N12 (65F10)", MRnumber = "1312409", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InProceedings{Sydow:1994:PSA, author = "A. Sydow", title = "Parallel simulation of air pollution", crossref = "Pehrson:1994:IPP", journal = j-IFIP-TRANS-A, volume = "A-52", pages = "605--612", year = "1994", CODEN = "ITATEC", ISSN = "0926-5473", bibdate = "Sun Dec 22 10:18:08 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", acknowledgement = ack-nhfb, affiliation = "GMD-Res. Inst. for Comput. Archit. and Software Technol., Berlin, Germany", classification = "A8670G (Atmosphere); A9260T (Air quality and air pollution); A9365 (Data acquisition, processing and storage); C6110P (Parallel programming); C7340 (Geophysics)", keywords = "Air pollutant transport models; Air pollution modelling; Berlin-Brandenburg area, Germany; CM-5; Equations; Eulerian models; FORGE; Lagrangian models; MANNA; Meteorological models; Model domain decomposition method; Model parallelization; Numerical algorithms; Parallel hardware; Parallel simulation; PARMACS; PVM; Runtime measurements; Software tools; Transputer system; Workstation cluster", thesaurus = "Air pollution; Digital simulation; Environmental science computing; Geophysics computing; Numerical analysis; Parallel processing; Software tools", } @InCollection{Tai:1994:DDL, author = "Xue Cheng Tai", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Domain decomposition for linear and nonlinear elliptic problems via function or space decomposition", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "355--360", year = "1994", MRclass = "65N55 (65Y05)", MRnumber = "1312410 (95k:65121)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Tallec:1994:BDD, author = "Patrick Le Tallec and Jan Mandel and Marina Vidrascu", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Balancing domain decomposition for plates", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "515--524", year = "1994", MRclass = "73V05 (65N55 73K10)", MRnumber = "1312417 (95j:73080)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Tallec:1994:CBN, author = "P. Le Tallec and F. Mallinger", booktitle = "{R.C.P.\ 25, Vol.\ 46 (French) (Strasbourg, 1992/1994)}", title = "Couplage {Boltzmann}/{Navier--Stokes}", volume = "1994/29", publisher = "Univ. Louis Pasteur", address = "Strasbourg, France", pages = "81--105", year = "1994", MRclass = "76D05 (35Q30 65M55 76M25 76P05)", MRnumber = "1331613 (96a:76026)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Pr{\'e}publ. Inst. Rech. Math. Av.", acknowledgement = ack-nhfb, } @Book{Tarvainen:1994:BRM, author = "Pasi Tarvainen", title = "Block relaxation methods for algebraic obstacle problems with {$M$}-matrices: theory and applications", volume = "63", publisher = "Universit{\"a}t Jyv{\"a}skyl{\"a} Mathematisches Institut", address = "Jyv{\"a}skyl{\"a}, Finland", pages = "ii + 111", year = "1994", ISBN = "951-34-0383-1", ISBN-13 = "978-951-34-0383-6", MRclass = "90C33 (49J40 65K10)", MRnumber = "1407743 (97g:90154)", MRreviewer = "Igor Bock", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Dissertation, University of Jyv{\"a}skyl{\"a}, Jyv{\"a}skyl{\"a}, 1994", series = "Bericht [Report]", acknowledgement = ack-nhfb, } @Article{Torre:1994:DDM, author = "B. Torre", title = "Domain decomposition method for fourth order equations", journal = j-APPL-MATH-LETT, volume = "7", number = "3", pages = "39--43", year = "1994", CODEN = "AMLEEL", DOI = "https://doi.org/10.1016/0893-9659(94)90110-4", ISSN = "0893-9659 (print), 1873-5452 (electronic)", MRclass = "65L99 (65N55)", MRnumber = "1350374", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics Letters. An International Journal of Rapid Publication", } @InCollection{Vozovoi:1994:MDF, author = "L. Vozovoi and M. Israeli and A. Averbuch", booktitle = "{Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993)}", title = "Multi-domain {Fourier} algorithms for parallel solution of the {Navier--Stokes} equations", volume = "180", publisher = pub-AMS, address = pub-AMS:adr, pages = "539--546", year = "1994", MRclass = "65M55 (76D05 76M25)", MRnumber = "1312418", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Contemp. Math.", acknowledgement = ack-nhfb, } @InCollection{Xanthis:1994:DDMa, author = "Leonidas S. Xanthis and Evgueni E. Ovtchinnikov", booktitle = "{Hellenic European research on mathematics and informatics '94, Vol.\ 1, 2 (Athens, 1994)}", title = "Domain decomposition and the method of arbitrary lines for elliptic problems", publisher = "Hellenic Mathematical Society", address = "Athens, Greece", pages = "181--192", year = "1994", MRclass = "65N55", MRnumber = "1372282", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Xanthis:1994:DDMb, author = "Leonidas S. Xanthis and Evgueni E. Ovtchinnikov", booktitle = "{Hellenic European research on mathematics and informatics '94, Vol.\ 1, 2 (Athens, 1994)}", title = "Domain decomposition and the method of arbitrary lines for elliptic free boundary problems", publisher = "Hellenic Mathematical Society", address = "Athens, Greece", pages = "193--203", year = "1994", MRclass = "65N55 (35R35)", MRnumber = "1372283", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Xu:1994:DDM, author = "Xue Jun Xu and Shu Min Shen", title = "Domain decomposition methods for obstacle problems", journal = "Numer. Math. J. Chinese Univ.", volume = "16", number = "2", pages = "186--194", year = "1994", ISSN = "1000-081X", MRclass = "65N55 (65R10)", MRnumber = "1350929", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Mathematics. A Journal of Chinese Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao", } @Article{Yu:1994:DDM, author = "De Hao Yu", title = "A domain decomposition method based on the natural boundary reduction over an unbounded domain", journal = "Math. Numer. Sinica", volume = "16", number = "4", pages = "448--459", year = "1994", ISSN = "0254-7791", MRclass = "65N55", MRnumber = "1393870 (97c:65210)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @Article{Abrashin:1995:CAD, author = "V. N. Abrashin and S. N. L{\`e}khtikov", title = "On the combination of the alternating direction method and the finite element method for the solution of problems in mathematical physics. {I}", journal = "Differ. Uravn.", volume = "31", number = "7", pages = "1161--1169, 1269", year = "1995", ISSN = "0374-0641", MRclass = "65M60 (65M55)", MRnumber = "1429771 (97m:65171)", MRreviewer = "Thomas Apel", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Differentsial\cprime nye Uravneniya", } @Article{Achdou:1995:PMM, author = "Yves Achdou and Fr{\'e}d{\'e}ric Nataf", title = "Preconditioners for the mortar method based on local approximations of the {Steklov--Poincar{\'e}} operator", journal = j-MATH-MODELS-METHODS-APPL-SCI, volume = "5", number = "7", pages = "967--997", year = "1995", CODEN = "MMMSEU", DOI = "https://doi.org/10.1142/S0218202595000516", ISSN = "0218-2025", MRclass = "76M10 (65N30 76D05)", MRnumber = "1359216 (96i:76087)", MRreviewer = "J. T. Oden", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematical Models \& Methods in Applied Sciences", } @Article{Adzic:1995:ALS, author = "Nevenka Ad{\v{z}}i{\'c}", title = "The approximation of layer solution by {Legendre} type polynomials", journal = "Zb. Rad. Prirod.-Mat. Fak. Ser. Mat.", volume = "25", number = "2", pages = "151--158", year = "1995", ISSN = "0352-0900", MRclass = "65L10", MRnumber = "1413967 (97g:65153)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Zbornik Radova Prirodno-Matematichkog Fakulteta. Serija za Matematiku. Review of Research. Faculty of Science. Mathematics Series", } @Article{Agouzal:1995:AHF, author = "Abdellatif Agouzal", title = "Augmented hybrid finite element method for domain decomposition", journal = j-APPL-ANAL, volume = "59", number = "1--4", pages = "341--347", year = "1995", CODEN = "APANCC", DOI = "https://doi.org/10.1080/00036819508840409", ISSN = "0003-6811", MRclass = "65N30", MRnumber = "1378045 (97b:65127)", MRreviewer = "Zheng Hui Xie", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applicable Analysis. An International Journal", } @Article{Agouzal:1995:MEF, author = "Abdellatif Agouzal and Jean-Marie Thomas", title = "Une m{\'e}thode d'{\'e}l{\'e}ments finis hybrides en d{\'e}composition de domaines. ({French}) [{A} hybrid finite-element method in domain decomposition]", journal = j-MATH-MODEL-NUM-ANA, volume = "29", number = "6", pages = "749--764", year = "1995", CODEN = "RMMAEV", ISSN = "0764-583X (print), 1290-3841 (electronic)", MRclass = "65N55 (65N30)", MRnumber = "1360674 (96g:65115)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "RAIRO Mod{\'e}lisation Math{\'e}matique et Analyse Num{\'e}rique", language = "French", } @InCollection{Albuquerque:1995:SDD, author = "C. Albuquerque", booktitle = "{Trends in applications of mathematics to mechanics (Lisbon, 1994)}", title = "Some domain-decomposition methods for the exterior {Poisson} equation", volume = "77", publisher = "Longman", address = "Harlow, UK", pages = "299--310", year = "1995", MRclass = "65N55", MRnumber = "1475494", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Pitman Monogr. Surveys Pure Appl. Math.", acknowledgement = ack-nhfb, } @Article{Averbuch:1995:PIN, author = "A. Averbuch and M. Israeli and L. Vozovoi", title = "Parallel implementation of non-linear evolution problems using parabolic domain decomposition", journal = j-PARALLEL-COMPUTING, volume = "21", number = "7", pages = "1151--1183", day = "11", month = jul, year = "1995", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", MRclass = "65M55 (65Y05)", MRnumber = "1 335 868", bibdate = "Fri Aug 6 10:14:33 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=7; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=7&aid=991", acknowledgement = ack-nhfb, classification = "B0290P (Differential equations); C4170 (Differential equations); C4240P (Parallel programming and algorithm theory)", corpsource = "Sch. of Math. Sci., Tel Aviv Univ., Israel", keywords = "decomposition; differential equations; domain decomposition; equations; large scale problems; non-linear evolution problems; nonlinear time-dependent; parabolic domain; parabolic equations; parallel algorithms; partial; partial differential", treatment = "T Theoretical or Mathematical", } @Article{Benamou:1995:DDM, author = "J.-D. Benamou", title = "A Domain Decomposition Method for the Polar Factorization of Vector-Valued Mappings", journal = j-SIAM-J-NUMER-ANAL, volume = "32", number = "6", pages = "1808--1838", month = dec, year = "1995", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/0732082", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N55 (26B25 65M55)", MRnumber = "1360461 (96i:65106)", MRreviewer = "Beny Neta", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", } @Article{Bey:1995:VDG, author = "Kim S. Bey and Abani Patra and J. Tinsley Oden", title = "{$ h p $}-version discontinuous {Galerkin} methods for hyperbolic conservation laws: a parallel adaptive strategy", journal = j-INT-J-NUMER-METHODS-ENG, volume = "38", number = "22", pages = "3889--3908", year = "1995", CODEN = "IJNMBH", DOI = "https://doi.org/10.1002/nme.1620382209", ISSN = "0029-5981", MRclass = "76M10 (65M60)", MRnumber = "1362005 (96i:76088)", MRreviewer = "Long An Ying", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Engineering", } @Article{Brenner:1995:TLA, author = "Susanne C. Brenner", title = "A two-level additive {Schwarz} preconditioner for macro-element approximations of the plate bending problem", journal = "Houston J. Math.", volume = "21", number = "4", pages = "823--844", year = "1995", CODEN = "HJMADZ", ISSN = "0362-1588", MRclass = "73V05 (35Q72 65N55 73K10)", MRnumber = "1368347 (96k:73077)", MRreviewer = "Pekka Neittaanm{\"a}ki", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Houston Journal of Mathematics", } @Book{Bruaset:1995:SPI, author = "Are Magnus Bruaset", title = "A survey of preconditioned iterative methods", volume = "328", publisher = pub-LONGMAN, address = pub-LONGMAN:adr, pages = "xii + 162", year = "1995", ISBN = "0-582-27654-3", ISBN-13 = "978-0-582-27654-3", MRclass = "65F10 (65F35 65M55 65N55)", MRnumber = "1413496 (97j:65053)", MRreviewer = "David R. Kincaid", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Pitman Research Notes in Mathematics Series", acknowledgement = ack-nhfb, } @Article{Cai:1995:UPI, author = "Xiao-Chuan Cai", title = "The Use of Pointwise Interpolation in Domain Decomposition Methods with Nonnested Meshes", journal = j-SIAM-J-SCI-COMP, volume = "16", number = "1", pages = "250--256", month = jan, year = "1995", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N55 (65F50)", MRnumber = "95j:65158", bibdate = "Tue Apr 29 18:25:50 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, } @InCollection{Carlenzoli:1995:ADD, author = "Claudio Carlenzoli and Alfio Quarteroni", booktitle = "{Modeling, mesh generation, and adaptive numerical methods for partial differential equations (Minneapolis, MN, 1993)}", title = "Adaptive domain decomposition methods for advection-diffusion problems", volume = "75", publisher = pub-SV, address = pub-SV:adr, pages = "165--186", year = "1995", MRclass = "65N55 (76D05 76M25)", MRnumber = "1370250 (96i:65107)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "IMA Vol. Math. Appl.", acknowledgement = ack-nhfb, } @TechReport{Carvalho:1995:LAK, author = "L. Carvalho and I. S. Duff and L. Giraud", title = "Linear algebra kernels for parallel domain decomposition methods", type = "Report", number = "TR/PA/95/26", institution = inst-CERFACS, address = inst-CERFACS:adr, pages = "????", year = "1995", bibdate = "Tue Jan 03 08:24:32 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Chan:1995:EAS, author = "Tony F. Chan and Jun Zou", title = "Erratum to: {``Additive Schwarz domain decomposition methods for elliptic problems on unstructured meshes'' [Numer. Algorithms {\bf 8} (1994), no. 2--4, 329--346, MR 95i:65174]}", journal = j-NUMER-ALGORITHMS, volume = "9", number = "3--4", pages = "397--397", month = "????", year = "1995", CODEN = "NUALEG", ISSN = "1017-1398 (print), 1572-9265 (electronic)", MRclass = "65N30 (65N55)", MRnumber = "1 339 729", bibdate = "Fri Nov 6 18:06:29 MST 1998", bibsource = "http://www.math.psu.edu/dna/contents/na.html; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib", note = "See \cite{Chan:1994:ASD}.", acknowledgement = ack-nhfb, } @Article{Chan:1995:PCD, author = "Tony F. Chan and Jian Ping Shao", title = "Parallel complexity of domain decomposition methods and optimal coarse grid size", journal = j-PARALLEL-COMPUTING, volume = "21", number = "7", pages = "1033--1049", day = "11", month = jul, year = "1995", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", MRclass = "65Y20 (65N55)", MRnumber = "96c:65225", MRreviewer = "Svetozar D. Margenov", bibdate = "Fri Aug 6 10:14:33 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=7; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=7&aid=988", acknowledgement = ack-nhfb, classification = "C4170 (Differential equations); C4240C (Computational complexity); C4240P (Parallel programming and algorithm theory); C6150N (Distributed systems software)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", keywords = "arithmetic time; coarse grid size; communication complexity; communication time; computational complexity; convergence; domain decomposition methods; elliptic equations; execution time; global communication; global coupling; multiprocessing systems; optimal; optimal convergence rate; parallel algorithms; parallel complexity; parallel environment; parallel machine; processors; solver; spatial dimension; subdomains", treatment = "T Theoretical or Mathematical", } @InProceedings{Chapple:1995:PUL, author = "S. R. Chapple and L. J. Clarke", title = "The {Parallel Utilities Library}", crossref = "IEEE:1995:PSP", pages = "21--30", year = "1995", bibdate = "Sun Dec 22 10:20:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", acknowledgement = ack-nhfb, affiliation = "Parallel Comput. Center, Edinburgh Univ., UK", classification = "C5440 (Multiprocessing systems); C6110B (Software engineering techniques); C6110P (Parallel programming); C6150N (Distributed systems software); C7480 (Production engineering computing)", keywords = "AEA Technology; Domain decomposition; Industrial applications; Library modules; Message passing; Message-Passing Interface; MPI; Parallel scalable I/O; Parallel systems; Parallel Utilities Library; PUL; Rolls-Royce; Shell UK; Task parallelism; Unstructured mesh applications", thesaurus = "Industries; Message passing; Parallel programming; Software libraries; Software portability; Software reusability; Subroutines", } @Article{Chen:1995:SMP, author = "Shao Bing Chen", title = "A splitting method for parabolic equations", journal = "Nanjing Daxue Xuebao Shuxue Bannian Kan", volume = "12", number = "2", pages = "282--287", year = "1995", ISSN = "0469-5097", MRclass = "65M55 (65N55)", MRnumber = "1401291 (97e:65093)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Nanjing Daxue Xuebao. Shuxue Bannian Kan. Nanjing University. Journal. Mathematical Biquarterly", } @Article{Cowsar:1995:BDD, author = "Lawrence C. Cowsar and Jan Mandel and Mary F. Wheeler", title = "Balancing domain decomposition for mixed finite elements", journal = j-MATH-COMPUT, volume = "64", number = "211", pages = "989--1015", month = jul, year = "1995", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2153480", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N55", MRnumber = "1297465 (95j:65161)", MRreviewer = "Serge Nicaise", bibdate = "Tue Sep 21 21:25:17 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/cowsar-lawrence-c.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", } @Article{Dai:1995:DDM, author = "Pei Liang Dai and Shu Min Shen", title = "A domain decomposition method based on nonconforming finite elements", journal = "Math. Numer. Sinica", volume = "17", number = "1", pages = "78--91", year = "1995", ISSN = "0254-7791", MRclass = "65N55 (65N30)", MRnumber = "1476847 (98g:65119)", MRreviewer = "Tsorng-Whay Pan", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @Article{Diaz:1995:DDS, author = "J. C. D{\'i}az and K. Shenoi", title = "Domain decomposition and {Schur} complement approaches to coupling the well equations in reservoir simulation", journal = j-SIAM-J-SCI-COMP, volume = "16", number = "1", pages = "29--39", month = jan, year = "1995", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N55 (65C20 65F35 86A60)", MRnumber = "95i:65175", bibdate = "Tue Apr 29 18:25:50 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, } @Article{Dostal:1995:DBD, author = "Zden{\v{e}}k Dost{\'a}l", title = "Duality based domain decomposition with proportioning for the solution of free boundary problems", journal = j-J-COMPUT-APPL-MATH, volume = "63", number = "1--3", pages = "203--208", year = "1995", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0377-0427(96)80912-5", ISSN = "0377-0427 (print), 1879-1778 (electronic)", MRclass = "65N55 (65K10)", MRnumber = "1365560", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "International Symposium on Mathematical Modelling and Computational Methods Modelling 94 (Prague, 1994)", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", } @Article{Floros:1995:CED, author = "N. Floros and J. S. Reeve and J. Clinckemaillie and S. Vlachoutsis and G. Lonsdale", title = "Comparative efficiencies of domain decompositions", journal = j-PARALLEL-COMPUTING, volume = "21", number = "11", pages = "1823--1835", day = "29", month = nov, year = "1995", CODEN = "PACOEJ", DOI = "https://doi.org/10.1016/0167-8191(95)00031-7", ISSN = "0167-8191 (print), 1872-7336 (electronic)", MRclass = "65M55 (65N55)", MRnumber = "1 365 956", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=11; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib; MathSciNet database", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=11&aid=1010", acknowledgement = ack-nhfb, classification = "B0290T (Finite element analysis); C4185 (Finite element analysis); C4240C (Computational complexity); C4240P (Parallel programming and algorithm theory)", corpsource = "Dept. of Electron. and Comput. Sci., Southampton Univ., UK", fjournal = "Parallel Computing. Theory and Applications", keywords = "algorithms; codes; comparative efficiencies; complexity; computational complexity; domain decompositions; finite element; finite element analysis; finite element PAM-CRASH code; finite volume codes; grid-based; parallel; recursive; simulation programs; spectral partitioning method", treatment = "P Practical; T Theoretical or Mathematical", } @InCollection{Gaier:1995:CMT, author = "D. Gaier", booktitle = "{Computational methods and function theory 1994 (Penang)}", title = "Conformal modules and their computation", volume = "5", publisher = "World Sci. Publ., River Edge, NJ", pages = "159--171", year = "1995", MRclass = "30C30", MRnumber = "1415169 (97h:30004)", MRreviewer = "N. Papamichael", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Ser. Approx. Decompos.", acknowledgement = ack-nhfb, } @Article{Globisch:1995:APG, author = "Gerhard Globisch", title = "On an automatically parallel generation technique for tetrahedral meshes", journal = j-PARALLEL-COMPUTING, volume = "21", number = "12", pages = "1979--1995", day = "12", month = dec, year = "1995", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", bibdate = "Fri Aug 6 10:14:20 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=12; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=12&aid=1033", acknowledgement = ack-nhfb, classification = "B0290T (Finite element analysis); C4185 (Finite element analysis); C4240P (Parallel programming and algorithm theory); C4260 (Computational geometry)", corpsource = "Dept. of Math., Tech. Univ. Chemnitz-Zwickau, Germany", keywords = "3D-; dimensional domains; domain decomposition; finite elements; generalized cylindrical shape; generation; mesh; mesh generation; parallel algorithms; parallel generation technique; parallel preprocessing; parallelization; reference triangulations; tetrahedral meshes; three-", treatment = "T Theoretical or Mathematical", } @Article{Griebel:1995:ATA, author = "M. Griebel and P. Oswald", title = "On the abstract theory of additive and multiplicative {Schwarz} algorithms", journal = j-NUM-MATH, volume = "70", number = "2", pages = "163--180", month = apr, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30 (65F10)", MRnumber = "96a:65164", MRreviewer = "S. Galanis", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5070002/50700163.htm; http://science.springer.de/nmee/bibs/5070002/50700163.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4140 (Linear algebra)", corpsource = "Inst. f{\"u}r Inf., Tech. Univ. M{\"u}nchen, Germany", keywords = "abstract convergence theory; abstract theory; convergence of numerical methods; convergence proofs; domain decomposition methods; iterative algorithms; iterative methods; matrix algebra; multiplicative Schwarz algorithms; PDE discretization; subspace correction methods; traditional block matrix situation; traditional iteration methods", treatment = "T Theoretical or Mathematical", } @Article{Gu:1995:ODD, author = "Jin Sheng Gu and Xian Cheng Hu", title = "An overlapping domain decomposition method for nonselfadjoint elliptic problems discretized by {Crouzeix--Raviart} elements", journal = "Math. Numer. Sinica", volume = "17", number = "3", pages = "282--290", year = "1995", ISSN = "0254-7791", MRclass = "65N30", MRnumber = "1477090", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @InCollection{Hahne:1995:FSC, author = "M. Hahne and E. P. Stephan and W. Thies", booktitle = "{Fast solvers for flow problems (Kiel, 1994)}", title = "Fast solvers for coupled {FEM-BEM} equations. {I}", volume = "49", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "121--130", year = "1995", MRclass = "76M10 (65F10 65N22 76M15)", MRnumber = "1423816 (97j:76031)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Notes Numer. Fluid Mech.", acknowledgement = ack-nhfb, } @Article{He:1995:SDD, author = "Qiming He and David J. Evans", title = "Symmetric Domain Decomposition Method for Large Scale and Nonlinear Evolution Systems", journal = j-PARALLEL-ALGORITHMS-APPL, volume = "7", number = "3--4", pages = "161--175", month = "????", year = "1995", CODEN = "PAAPEC", DOI = "https://doi.org/10.1080/10637199508915529", ISSN = "1063-7192", ISSN-L = "1026-7689", bibdate = "Fri Jul 11 06:45:42 MDT 2008", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelalgorithmsappl.bib", URL = "http://www.informaworld.com/smpp/content~content=a772402404", acknowledgement = ack-nhfb, } @Article{Heise:1995:NSE, author = "Bodo Heise", title = "Nonlinear simulation of electromagnetic fields with domain decomposition methods on {MIMD} parallel computers", journal = j-J-COMPUT-APPL-MATH, volume = "63", number = "1--3", pages = "373--381", year = "1995", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/0377-0427(95)00065-8", ISSN = "0377-0427 (print), 1879-1778 (electronic)", MRclass = "65N55 (78-08)", MRnumber = "1365576", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "International Symposium on Mathematical Modelling and Computational Methods Modelling 94 (Prague, 1994)", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", } @Article{Hemmingsson:1995:DDM, author = "Lina Hemmingsson", title = "A Domain Decomposition Method for First-Order {PDEs}", journal = j-SIAM-J-MAT-ANA-APPL, volume = "16", number = "4", pages = "1241--1267", month = oct, year = "1995", CODEN = "SJMAEL", DOI = "https://doi.org/10.1137/S0895479894270154", ISSN = "0895-4798 (print), 1095-7162 (electronic)", ISSN-L = "0895-4798", MRclass = "65M55 (65F10 65Y05)", MRnumber = "96h:65117", MRreviewer = "Svetozar D. Margenov", bibdate = "Fri Dec 4 12:14:09 MST 1998", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/16/4; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjmatanaappl.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/27015", acknowledgement = ack-nhfb, } @Article{Huang:1995:DDM, author = "Jian Guo Huang", title = "A domain decomposition method for nonconforming finite elements---the case of strong overlap", journal = "Math. Numer. Sinica", volume = "17", number = "1", pages = "47--58", year = "1995", ISSN = "0254-7791", MRclass = "65N55", MRnumber = "1476843 (98m:65216)", MRreviewer = "Chuan Miao Chen", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @Article{Ivanov:1995:CCF, author = "S. A. Ivanov and V. G. Korneev", title = "Choice of coordinate functions of higher orders and preconditioning in the framework of the domain decomposition method", journal = j-IZV-VYSS-UCEBN-ZAVED-MAT, volume = "4", number = "??", pages = "62--81", year = "1995", CODEN = "IVUMBY", ISSN = "0021-3446", MRclass = "65N22 (65N55)", MRnumber = "1391333 (97g:65217)", MRreviewer = "Lutz Tobiska", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Izvestiya Vysshikh Uchebnykh Zavedeni\u\i. Matematika", } @InCollection{Kahlert:1995:CDP, author = "M. Kahlert and M. Paffrath and U. Wever", booktitle = "{Advanced mathematics: computations and applications (Novosibirsk, 1995)}", title = "Comparison of data partitioning and domain decomposition methods in real life problems", publisher = "NCC Publ., Novosibirsk", pages = "564--576", year = "1995", MRclass = "65M55 (65F30)", MRnumber = "1701467", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Kapurkin:1995:DDM, author = "Andrei Kapurkin and G. Lube", booktitle = "{Fast solvers for flow problems (Kiel, 1994)}", title = "A domain decomposition method for singularly perturbed elliptic problems", volume = "49", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "151--162", year = "1995", MRclass = "65N55 (65N30 76M25)", MRnumber = "1423817 (98b:65137)", MRreviewer = "Alberto Valli", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Notes Numer. Fluid Mech.", acknowledgement = ack-nhfb, } @InCollection{Keyes:1995:AAN, author = "David E. Keyes", booktitle = "{Fourteenth International Conference on Numerical Methods in Fluid Dynamics (Bangalore, 1994)}", title = "Aerodynamic applications of {Newton--Krylov--Schwarz} solvers", volume = "453", publisher = pub-SV, address = pub-SV:adr, pages = "1--20", year = "1995", DOI = "https://doi.org/10.1007/3-540-59280-6_95", MRclass = "76M20", MRnumber = "1372706 (96j:76098)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Lecture Notes in Phys.", acknowledgement = ack-nhfb, } @InProceedings{Klaassen:1995:PNM, author = "A. J. Klaassen and B. Delord and Y. Burnod and E. Guigon", title = "Parallel Neuron Modelling using Domain Decomposition: Application toward Learning Sensori-Motor Sequences in Prefrontal Cortex", crossref = "Herrmann:1995:WSB", pages = "361--370", year = "1995", bibdate = "Mon Aug 26 10:38:41 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", acknowledgement = ack-nhfb, } @Article{Laevskii:1995:EID, author = "Yu. M. Laevski{\u\i} and S. V. Gololobov", title = "Explicit-implicit domain decomposition methods for the solution of parabolic equations", journal = j-SIB-MAT-Z, volume = "36", number = "3", pages = "590--601, ii", year = "1995", DOI = "https://doi.org/10.1007/BF02109838", ISSN = "0037-4474", MRclass = "65M55 (65N55)", MRnumber = "1404883 (97g:65190)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Rossi\u\i skaya Akademiya Nauk. Sibirskoe Otdelenie. Institut Matematiki im. S. L. Soboleva. Sibirski\u\i\ Matematicheski\u\i\ Zhurnal", } @Article{Layton:1995:PRP, author = "William J. Layton and Patrick J. Rabier", title = "{Peaceman--Rachford} procedure and domain decomposition for finite element problems", journal = j-NUM-LIN-ALG-APPL, volume = "2", number = "4", pages = "363--393", year = "1995", CODEN = "NLAAEM", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65N55 (65F10)", MRnumber = "96g:65118", MRreviewer = "Zden{\v{e}}k Dost{\'a}l", bibdate = "Thu Jan 23 18:22:28 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/numlinaa.bib", acknowledgement = ack-nhfb, journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", } @Article{Lee:1995:RCB, author = "Chang-Ock Lee and Seymour V. Parter", title = "On the rate of convergence of the $ k \times k $ block, $k$-line iterative methods: $ k \to \infty $", journal = j-NUM-MATH, volume = "71", number = "1", pages = "59--90", month = jul, year = "1995", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N22 (65F10)", MRnumber = "96d:65180", MRreviewer = "Alan L. Andrew", bibdate = "Mon May 26 11:49:34 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/5071001/50710059.htm; http://science.springer.de/nmee/bibs/5071001/50710059.htm", acknowledgement = ack-nhfb, classification = "B0290F (Interpolation and function approximation); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Wisconsin Univ., Madison, WI, USA", keywords = "convergence of numerical methods; Dirichlet problem; domain decomposition methods; eigenvalues; elliptic difference equations; finite difference discretization; fixed finite integer; iterative methods; k-line iterative methods; Poisson's equation; rate of convergence; unit square", treatment = "T Theoretical or Mathematical", } @Article{LeTallec:1995:DDN, author = "Patrick {Le Tallec} and Taoufik Sassi", title = "Domain decomposition with non-matching grids: {Augmented} {Lagrangian} approach", journal = j-MATH-COMPUT, volume = "64", number = "212", pages = "1367--1396", month = oct, year = "1995", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N55 (65M55 73V20)", MRnumber = "95m:65212", MRreviewer = "Tsorng-Whay Pan", bibdate = "Tue Mar 25 15:38:13 MST 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", acknowledgement = ack-nhfb, affiliation = "Paris-Dauphine Univ., France", classcodes = "C4185 (Finite element analysis); C4240P (Parallel programming and algorithm theory); C4170 (Differential equations)", corpsource = "Paris-Dauphine Univ., France", keywords = "augmented; convergence of numerical methods; decomposition; discretization step; displacement continuity; domain decomposition method; element analysis; element grids; elliptic equations; fictitious overlapping; finite; Lagrangian approach; linear convergence; method; nonmatching grids; nonoverlapping domain; numerical examples; numerical solution; order linear elliptic problem; parallel; parallel algorithms; Peaceman--Rachford algorithm; preconditioner; problems; second; three dimensional elasticity; version", treatment = "T Theoretical or Mathematical", } @Article{Li:1995:DDA, author = "Cui Hua Li and Kai Tai Li", title = "Domain decomposition algorithms for incompressible fluid flows", journal = "Xi'an Jiaotong Daxue Xuebao", volume = "29", number = "6", pages = "121--126", year = "1995", CODEN = "HCTPDW", ISSN = "0253-987X", MRclass = "65N55 (76B10)", MRnumber = "1377264", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Xi'an Jiaotong Daxue Xuebao. Journal of Xi'an Jiaotong University", } @Article{Lippert:1995:FWB, author = "L. Lippert and M. H. Gross", title = "Fast Wavelet Based Volume Rendering by Accumulation of Transparent Texture Maps", journal = j-CGF, volume = "14", number = "3", pages = "C/431--C/443", month = sep, year = "1995", CODEN = "CGFODY", ISSN = "0167-7055 (print), 1467-8659 (electronic)", ISSN-L = "0167-7055", bibdate = "Fri Jul 18 14:10:19 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/cgf.bib", acknowledgement = ack-nhfb, classification = "C4190 (Other numerical methods); C6130B (Graphics techniques)", conflocation = "Maastricht, Netherlands; 18 Aug.-1 Sept. 1995", conftitle = "EUROGRAPHICS '95", corpsource = "Comput. Sci. Dept., Swiss Federal Inst. of Technol., Zurich, Switzerland", keywords = "3D mother wavelet; accurate volume intensity; Accurate volume intensity; analytic Fourier description; Analytic Fourier description; analytic Fourier description; attenuation; Attenuation; B; B spline wavelets; basis functions; Basis functions; buffers; color integration; Color integration; color integration; colour graphics; decomposed volume color function; Decomposed volume color function; decomposed volume color function; decompositions; domain; fast wavelet based volume rendering; Fast wavelet based volume rendering; fast wavelet based volume rendering; Fourier domain volume; Fourier domain volume rendering techniques; Fourier transform; Fourier transforms; hardware accumulation; Hardware accumulation buffers; image texture; Linear shading; linear shading; maps; ray intensity integral; Ray intensity integral; rendering (computer graphics); rendering techniques; RGB textures; spatial; Spatial domain; spline wavelets; texture mapping; Texture mapping; transparent texture; Transparent texture maps; wavelet; Wavelet decompositions; wavelet transforms", thesaurus = "Colour graphics; Fourier transforms; Image texture; Rendering [computer graphics]; Wavelet transforms", treatment = "P Practical", } @InProceedings{Lou:1995:PIN, author = "J. Z. Lou", title = "A parallel incompressible {Navier--Stokes} solver with multigrid iterations", crossref = "Bailey:1995:PSS", pages = "167--168", year = "1995", bibdate = "Sun Dec 22 10:19:23 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", acknowledgement = ack-nhfb, affiliation = "Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA", classification = "A0230 (Function theory, analysis); A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4710 (General fluid dynamics theory, simulation and other computational methods); C4170 (Differential equations); C4240P (Parallel programming and algorithm theory); C6110P (Parallel programming); C7320 (Physics and chemistry computing)", keywords = "Domain-decomposition strategy; Efficient finite-difference incompressible Navier--Stokes fluid; Intel Delta; Intel Paragon; Message-passing; Multigrid iterations; Multigrid scheme; Parallel incompressible Navier--Stokes solver; Rectangular processor meshes; Second-order projection method; Staggered grid; Template code", thesaurus = "Finite difference methods; Message passing; Navier--Stokes equations; Parallel algorithms; Physics computing", } @Article{Mu:1995:NFP, author = "Mo Mu", title = "A New Family of Preconditioners for Domain Decomposition", journal = j-SIAM-J-SCI-COMP, volume = "16", number = "2", pages = "289--306", month = mar, year = "1995", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N55 (65F35 65Y05)", MRnumber = "95k:65118", MRreviewer = "Rolf Rannacher", bibdate = "Tue Apr 29 18:25:50 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, } @InCollection{Nataf:1995:DDM, author = "F. Nataf and F. Rogier and E. de Sturler", booktitle = "{Navier--Stokes equations and related nonlinear problems (Funchal, 1994)}", title = "Domain decomposition methods for fluid dynamics", publisher = "Plenum", address = "New York, NY, USA", pages = "367--376", year = "1995", MRclass = "65M55 (76M25)", MRnumber = "1373229 (96j:65095)", MRreviewer = "Leonid K. Antanovski{\u\i}", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Natarajan:1995:DDU, author = "Ramesh Natarajan", title = "Domain decomposition using spectral expansions of {Steklov--Poincar{\'e}} operators", journal = j-SIAM-J-SCI-COMP, volume = "16", number = "2", pages = "470--495", month = mar, year = "1995", CODEN = "SJOCE3", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N55 (65F10)", MRnumber = "96i:65108", bibdate = "Tue Apr 29 18:25:50 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", acknowledgement = ack-nhfb, } @InCollection{Papamichael:1995:DDC, author = "N. Papamichael and N. S. Stylianopoulos", booktitle = "{Computational methods and function theory 1994 (Penang)}", title = "Domain decomposition for conformal maps", volume = "5", publisher = "World Sci. Publ., River Edge, NJ", pages = "267--291", year = "1995", MRclass = "30C30 (65E05)", MRnumber = "1415177 (97h:30005)", MRreviewer = "D. Gaier", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Ser. Approx. Decompos.", acknowledgement = ack-nhfb, } @Article{Park:1995:DDM, author = "Pil Seong Park", title = "A domain decomposition method applied to queuing network problems", journal = "Commun. Korean Math. Soc.", volume = "10", number = "3", pages = "735--750", year = "1995", ISSN = "1225-1763", MRclass = "65M55 (60K25 65F10 65Y05 90B22)", MRnumber = "1430428 (98e:65078)", MRreviewer = "Svetozar D. Margenov", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Korean Mathematical Society. Communications", } @Article{Pavarino:1995:NEO, author = "Luca F. Pavarino and Marcelo Ram{\'e}", title = "Numerical Experiments with an Overlapping Additive {Schwarz} Solver for {3-D} Parallel Reservoir Simulation", journal = j-IJSAHPC, volume = "9", number = "1", pages = "3--17", month = "Spring", year = "1995", CODEN = "IJSAE9", ISSN = "0890-2720", bibdate = "Tue Feb 18 09:07:32 MST 1997", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/ijsa.bib", abstract = "Domain decomposition methods are a major area of contemporary research in the numerical analysis of partial differential equations. They provide robust, parallel, and scalable preconditioned iterative methods for the large linear systems arising when continuous problems are discretized by finite elements, finite differences, or spectral methods. This paper presents numerical experiments on a distributed-memory parallel computer, the 512-processor Touchstone Delta at the California Institute of Technology. An overlapping additive Schwarz method is implemented for the mixed finite-element discretization of second-order elliptic problems in three dimensions arising from flow models in reservoir simulation. These problems are characterized by large variations in the coefficients of the elliptic operator, often associated with short correlation lengths, which make the problems very ill-conditioned. The results confirm the theoretical bound on the condition number of the iteration operator and show the advantage of domain decomposition preconditioning as opposed to the simpler but less robust diagonal preconditioner.", acknowledgement = ack-nhfb, affiliation = "Dept. of Comput. and Appl. Math., Rice Univ.", affiliationaddress = "Houston, TX, USA", classification = "722.4; 723.5; 921.2; 921.6", journalabr = "Int J Supercomput Appl High Perform Comput", keywords = "Additive Schwarz methods; Algorithms; Boundary conditions; Computer simulation; Correlation methods; Discretization; Distributed computer systems; Distributed memory parallel computer; Domain decomposition preconditioning; Finite difference method; Finite element method; Flow models; Iteration operator; Iterative methods; Mathematical models; Numerical analysis; Parallel processing systems; Parallel reservoir simulation; Partial differential equations; Second order elliptic problems; Three dimensional", } @Article{Pringle:1995:ETM, author = "Gavin J. Pringle", title = "Embedding a `Treecode' on a {MIMD} parallel computer using a domain decomposition paradigm", journal = j-FUT-GEN-COMP-SYS, volume = "11", number = "2", pages = "183--192", month = mar, year = "1995", CODEN = "FGSEVI", ISSN = "0167-739X (print), 1872-7115 (electronic)", ISSN-L = "0167-739X", bibdate = "Sat Jan 10 11:56:07 MST 2004", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/futgencompsys.bib", acknowledgement = ack-nhfb, remark = "Massive Parallel Computing.", } @Article{Rachowicz:1995:ODD, author = "W. Rachowicz", title = "An overlapping domain decomposition preconditioner for an anisotropic {$h$}-adaptive finite element method", journal = j-COMPUT-METH-APPL-MECH-ENG, volume = "127", number = "1--4", pages = "269--292", year = "1995", CODEN = "CMMECC", DOI = "https://doi.org/10.1016/0045-7825(95)00857-7", ISSN = "0045-7825, 0374-2830", MRclass = "65N55 (65N30)", MRnumber = "1365377 (96h:65150)", MRreviewer = "Weimin Han", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Computer Methods in Applied Mechanics and Engineering", } @Book{Roache:1995:EMM, author = "Patrick J. Roache", title = "Elliptic marching methods and domain decomposition", publisher = pub-CRC, address = pub-CRC:adr, pages = "xvi + 190", year = "1995", ISBN = "0-8493-7378-6", ISBN-13 = "978-0-8493-7378-7", MRclass = "65N55 (76M25)", MRnumber = "1384759 (99d:65354)", MRreviewer = "S. F. McCormick", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Symbolic and Numeric Computation Series", acknowledgement = ack-nhfb, } @Article{Samarskii:1995:VAS, author = "A. A. Samarski{\u\i} and P. N. Vabishchevich", title = "Vector additive schemes of domain decomposition for parabolic problems", journal = "Differ. Uravn.", volume = "31", number = "9", pages = "1563--1569, 1606", year = "1995", ISSN = "0374-0641", MRclass = "65N55 (65Y05)", MRnumber = "1433679 (98j:65089)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Differentsial\cprime nye Uravneniya", } @Article{Shi:1995:OPD, author = "Peihu Shi", title = "Orthogonal projection of the domain boundary operator for elliptic problem by domain decomposition", journal = "J. Southeast Univ. (English Ed.)", volume = "11", number = "1", pages = "83--90", year = "1995", ISSN = "1003-7985", MRclass = "65N55 (65N22)", MRnumber = "1379955 (97f:65073)", MRreviewer = "Charles I. Goldstein", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Southeast University. English Edition. Dongnan Daxue Xuebao. Yingwen Ban", } @InCollection{Steinbach:1995:PIS, author = "O. Steinbach", booktitle = "{Fast solvers for flow problems (Kiel, 1994)}", title = "Parallel iterative solvers for symmetric boundary element domain decomposition methods", volume = "49", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "263--272", year = "1995", MRclass = "65N38 (76M15)", MRnumber = "1423821 (97j:65190)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Notes Numer. Fluid Mech.", acknowledgement = ack-nhfb, } @InCollection{Thanh:1995:DDM, author = "Tran Thanh", booktitle = "{Analysis and mechanics of continuous media (Ho Chi Minh City, 1995)}", title = "Domain decomposition methods for the {Galerkin} boundary element approximation applied to screen and crack problems", volume = "3", publisher = "HoChiMinh City Math. Soc.", address = "Ho Chi Minh City, Vietname", pages = "355--368", year = "1995", MRclass = "65N55 (35J25)", MRnumber = "1368885", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Publ. HoChiMinh City Math. Soc.", acknowledgement = ack-nhfb, } @Article{Tidriri:1995:DDC, author = "Moulay D. Tidriri", title = "Domain decomposition for compressible {Navier--Stokes} equations with different discretizations and formulations", journal = j-J-COMPUT-PHYS, volume = "119", number = "2", pages = "271--282", year = "1995", CODEN = "JCTPAH", DOI = "https://doi.org/10.1006/jcph.1995.1135", ISSN = "0021-9991 (print), 1090-2716 (electronic)", MRclass = "76M25 (76N10)", MRnumber = "1611299", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys1990.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", } @Article{Wehner:1995:PDM, author = "M. F. Wehner and A. A. Mirin and P. G. Eltgroth and W. P. Dannevik and C. R. Mechoso and J. D. Farrara and J. A. Spahr", title = "Performance of a distributed memory finite difference atmospheric general circulation model", journal = j-PARALLEL-COMPUTING, volume = "21", number = "10", pages = "1655--1675", day = "29", month = nov, year = "1995", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", bibdate = "Fri Aug 6 10:14:15 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1995&volume=21&issue=10; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1995&volume=21&issue=10&aid=1020", acknowledgement = ack-nhfb, classification = "A9385 (Instrumentation and techniques for geophysical, hydrospheric and lower atmosphere research); B0290P (Differential equations); B7710B (Atmospheric, ionospheric and magnetospheric techniques and equipment); C4170 (Differential equations); C4240P (Parallel programming and algorithm theory); C5220P (Parallel architecture); C5440 (Multiprocessing systems); C7340 (Geophysics computing)", corpsource = "Climate Syst. Modeling Group, Lawrence Livermore Nat. Lab., CA, USA", keywords = "architectures; atmospheric techniques; circulation model; difference methods; distributed memory finite difference atmospheric general; distributed memory systems; finite; geophysics computing; massively parallel computer; message passing; multitasking vector supercomputers; parallel algorithm; parallel algorithms; parallelism; strategy; two dimensional domain decomposition", treatment = "A Application; P Practical", } @Article{Xu:1995:NSM, author = "Chuanju Xu and Liankun Gu", title = "Notes on the spectral methods for fluid dynamics", journal = "J. Math. Study", volume = "28", number = "4", pages = "1--8", year = "1995", ISSN = "1006-6837", MRclass = "76M25", MRnumber = "1412258 (97h:76096)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Study. Shuxue Yanjiu", } @Article{Yu:1995:RBS, author = "De Hao Yu", title = "The relationship between {Steklov--Poincar{\'e}} operators and natural integral operators and {Green} functions", journal = "Math. Numer. Sinica", volume = "17", number = "3", pages = "331--341", year = "1995", ISSN = "0254-7791", MRclass = "47F05 (35J25 47G10 65N55)", MRnumber = "1477096 (98j:47107)", MRreviewer = "Qi Tang", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @Article{Zhadaeva:1995:DDM, author = "N. G. Zhadaeva", title = "On a domain decomposition method in nonstationary problems of mathematical physics", journal = "Differ. Uravn.", volume = "31", number = "7", pages = "1217--1221, 1270", year = "1995", ISSN = "0374-0641", MRclass = "65M55", MRnumber = "1429780 (97j:65148)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Differentsial\cprime nye Uravneniya", } @Article{Zhou:1995:IDD, author = "Shu Zi Zhou and Qiang Cheng", title = "Inexact domain decomposition methods for solving obstacle problems", journal = "Hunan Daxue Xuebao", volume = "22", number = "6, suppl.", pages = "17--20", year = "1995", CODEN = "HDAXE3", ISSN = "1000-2472", MRclass = "65K10 (49J40)", MRnumber = "1432553", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Hunan Daxue Xuebao. Ziran Kexue Ban. Journal of Hunan University. Natural Sciences", } @Article{Zhou:1995:OSS, author = "J. J. Zhou and Moon-Jung Chung", title = "Object-oriented simulation for the Superconducting Super Collider", journal = j-TRANS-SOC-COMP-SIM, volume = "12", number = "1", pages = "1--25", month = mar, year = "1995", CODEN = "TSCSEV", ISSN = "0740-6797", bibdate = "Wed Oct 30 05:42:27 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/gnu.bib", abstract = "The design and implementation of an object-oriented simulation environment, OZ, for the Superconducting Super Collider (SSC) Laboratory is described in this paper. The design applies object-oriented technology to data management and visualization, behavior modeling, and dynamic simulation. A simulation framework called InterSim is proposed to model and simulate different types of objects in large systems by their functionality during the development of OZ. Our framework supports encapsulation, code reuse, and a loosely coupled development approach. A framework is a collection of classes that are cohesive and self-contained to provide a set of services for a particular domain. InterSim provides four conceptual layers of classes in the design of a simulation environment. The design of each layer can proceed independently, based on a set of predefined responsibilities and protocols between each layer. Our goal is to accumulatively create a complete functionality within each layer for reuse in future software development. OZ provides a graphical user interface that allows the user to visualize the design data as objects in the database and to interactively model system components through direct manipulation. Modeling can be exercised at different levels of the system decomposition hierarchy before it is dynamically bound into a system for simulation. Inheritance is used to derive new behavior of the system or subsystem from the existing one. The implementation uses C++, GLISTK library, InterViews 2.6, ISTK library, GNU C++ library, and the ObjectStore database management system.", acknowledgement = ack-nhfb, affiliation = "Software Solution RTP, IBM Corp., Research Triangle Park, NC, USA", classification = "A2980F (Programming for nuclear information processing); C5640 (Protocols); C6110J (Object-oriented programming); C6120 (File organisation); C6130B (Graphics techniques); C6160J (Object-oriented databases); C6180G (Graphical user interfaces); C6185 (Simulation techniques); C7320 (Physics and chemistry computing)", keywords = "Behavior modeling; C++; Code reuse; Data management; Data visualization; Direct manipulation; Dynamic simulation; Encapsulation; GLISTK library; GNU C++ library; Graphical user interface; Inheritance; InterSim; InterViews 2.6; ISTK library; Loosely coupled development approach; Object-oriented simulation; OZ; Protocols; Superconducting Super Collider; System components; System decomposition hierarchy", pubcountry = "USA", thesaurus = "Data visualisation; Digital simulation; Graphical user interfaces; High energy physics instrumentation computing; Inheritance; Object-oriented databases; Object-oriented programming; Protocols", } @Article{Zhu:1995:DDA, author = "Jing Hui Zhu", title = "A domain decomposition algorithm for use in finite difference methods", journal = "Xiamen Daxue Xuebao Ziran Kexue Ban", volume = "34", number = "4", pages = "517--524", year = "1995", CODEN = "HMHHAF", ISSN = "0438-0479", MRclass = "65N55", MRnumber = "1409342 (97g:65264)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Xiamen Daxue Xuebao. Ziran Kexue Ban. Journal of Xiamen University. Natural Science", } @Article{Abrashin:1996:CAD, author = "V. N. Abrashin and S. N. L{\`e}khtikov", title = "On the combination of the alternating direction method and the finite element method for the solution of problems in mathematical physics. {II}", journal = "Differ. Uravn.", volume = "32", number = "7", pages = "889--897, 1004", year = "1996", ISSN = "0374-0641", MRclass = "65M55 (65M60)", MRnumber = "1492300 (99c:65178)", MRreviewer = "Thomas Apel", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Differentsial\cprime nye Uravneniya", } @Article{Abrashin:1996:DDM, author = "V. N. Abrashin", title = "On a domain decomposition method in the solution of problems in mathematical physics", journal = "Differ. Uravn.", volume = "32", number = "5", pages = "652--660, 718", year = "1996", ISSN = "0374-0641", MRclass = "65N55 (65M55)", MRnumber = "1435350 (99a:65172)", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Differentsial\cprime nye Uravneniya", } @Article{Agouzal:1996:FDD, author = "Abdellatif Agouzal and Na{\"{\i}}ma Debit", title = "Une formulation de d{\'e}composition de domaines spatio-temporelle pour les {\'e}quations hyperboliques. ({French}) [{A} formulation of spatio-temporal domain decomposition for hyperbolic equations]", journal = j-C-R-ACAD-SCI-PARIS-SER-I-MATH, volume = "323", number = "8", pages = "957--960", year = "1996", CODEN = "CASMEI", ISSN = "0764-4442 (print), 1778-3577 (electronic)", MRclass = "65N55", MRnumber = "1414565 (97k:65275)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus de l'Acad{\'e}mie des Sciences. S{\'e}rie I. Math{\'e}matique", language = "French", } @Article{Ainsworth:1996:HDD, author = "Mark Ainsworth", title = "A hierarchical domain decomposition preconditioner for {$h$-$p$} finite element approximation on locally refined meshes", journal = j-SIAM-J-SCI-COMP, volume = "17", number = "6", pages = "1395--1413", month = nov, year = "1996", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827594272578", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N30 (65F10)", MRnumber = "1413707 (97j:65171)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/17/6; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib; MathSciNet database", URL = "http://epubs.siam.org/sam-bin/dbq/article/27257", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", } @Article{Ainsworth:1996:PBD, author = "Mark Ainsworth", title = "A Preconditioner Based on Domain Decomposition for $h$-$p$ Finite-Element Approximation on Quasi-Uniform Meshes", journal = j-SIAM-J-NUMER-ANAL, volume = "33", number = "4", pages = "1358--1376", month = aug, year = "1996", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N30 (65F10)", MRnumber = "1 403 549", bibdate = "Fri Dec 4 13:36:09 MST 1998", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/33/4; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/25822", acknowledgement = ack-nhfb, } @Article{Amitai:1996:PAH, author = "Dganit Amitai and Amir Averbuch and Moshe Israeli and Samuel Itzikowitz", title = "On parallel asynchronous high-order solutions of parabolic {PDEs}", journal = j-NUMER-ALGORITHMS, volume = "12", number = "1--2", pages = "159--192", year = "1996", CODEN = "NUALEG", DOI = "https://doi.org/10.1007/BF02141747", ISSN = "1017-1398 (print), 1572-9265 (electronic)", MRclass = "65M06 (65M12 65Y05)", MRnumber = "1423554 (97m:65147)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Algorithms", } @Article{Baker:1996:MES, author = "Brenda S. Baker and Edward G. {Coffman, Jr.}", title = "Mutual exclusion scheduling", journal = j-THEOR-COMP-SCI, volume = "162", number = "2", pages = "225--243", day = "20", month = aug, year = "1996", CODEN = "TCSCDI", ISSN = "0304-3975 (print), 1879-2294 (electronic)", ISSN-L = "0304-3975", bibdate = "Mon Jul 19 22:20:08 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_free/browse/browse.cgi?year=1996&volume=162&issue=2; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/tcs1995.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/tcs/cas_sub/browse/browse.cgi?year=1996&volume=162&issue=2&aid=2234", acknowledgement = ack-nhfb, classification = "C1160 (Combinatorial mathematics); C1180 (Optimisation techniques); C4170 (Differential equations); C4230M (Multiprocessor interconnection); C4240C (Computational complexity); C4240P (Parallel programming and algorithm theory)", corpsource = "Bell Labs., Murray Hill, NJ, USA", keywords = "computational complexity; domain decomposition; graph theory; heuristics; load-balancing; mutual exclusion scheduling; NP-hard problem; optimisation; parallel algorithms; partial differential equations; polynomial time; processor scheduling; time intervals", pubcountry = "Netherlands", treatment = "T Theoretical or Mathematical", } @Article{Baronio:1996:DDT, author = "A. Baronio and F. Zama", title = "A domain decomposition technique for spline image restoration on distributed memory systems", journal = j-PARALLEL-COMPUTING, volume = "22", number = "1", pages = "101--110", day = "20", month = feb, year = "1996", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", MRclass = "65N55 (65D07)", MRnumber = "1 377 869", bibdate = "Fri Aug 6 10:14:39 MDT 1999", bibsource = "Compendex database; http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1996&volume=22&issue=1; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1996&volume=22&issue=1&aid=1046", acknowledgement = ack-nhfb, affiliation = "Univ of Bologna", affiliationaddress = "Bologna, Italy", classification = "722.3; 723.2; 741; 921.6; B0290F (Interpolation and function approximation); B6140C (Optical information, image and video signal processing); C4130 (Interpolation and function approximation)C5220P (Parallel architecture); C5260B (Computer vision and image processing techniques)", corpsource = "Dipartimento di Matematica, Bologna Univ., Italy", journalabr = "Parallel Comput", keywords = "Algorithms; Approximation theory; Basis spline function; Data storage equipment; distributed; Distributed computer systems; distributed memory; Distributed memory systems; distributed memory systems; Domain decomposition; domain decomposition; Hypercube Intel; Image reconstruction; image restoration; image spatial domain; iPSC/860; memory systems; optical; point spread function; Regularization; Space variant nonseparable point spread function; spline image restoration; splines (mathematics); transfer function", treatment = "T Theoretical or Mathematical", } @Article{Benamou:1996:DDM, author = "Jean-David Benamou", title = "A Domain Decomposition Method with Coupled Transmission Conditions for the Optimal Control of Systems Governed by Elliptic Partial Differential Equations", journal = j-SIAM-J-NUMER-ANAL, volume = "33", number = "6", pages = "2401--2416", month = dec, year = "1996", CODEN = "SJNAAM", DOI = "https://doi.org/10.1137/S0036142994267102", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65K10 (49M25 65N30 65Y05)", MRnumber = "1427470 (98b:65071)", MRreviewer = "Pekka Neittaanm{\"a}ki", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/33/6; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib; MathSciNet database", URL = "http://epubs.siam.org/sam-bin/dbq/article/26710", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Numerical Analysis", } @Article{Bjoerstad:1996:PIS, author = "P. E. Bjoerstad and M. Dryja and E. Vainikko", title = "Parallel Implementation of a {Schwarz} Domain Decomposition Algorithm", journal = j-LECT-NOTES-COMP-SCI, volume = "1184", pages = "46--??", year = "1996", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Fri Aug 22 11:59:49 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1996b.bib", acknowledgement = ack-nhfb, } @Article{Bjoerstad:1996:PRS, author = "P. Bjoerstad and R. Moe and R. Olufsen and E. Vainikko", title = "Parallel Reservoir Simulation Based on Domain Decomposition Techniques", journal = j-LECT-NOTES-COMP-SCI, volume = "1067", pages = "3--??", year = "1996", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Wed Aug 14 09:38:08 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1996a.bib", acknowledgement = ack-nhfb, } @InCollection{Bollhofer:1996:ADD, author = "Matthias Bollh{\"o}fer", booktitle = "{Algebraic multilevel iteration methods with applications, Vol. I, II (Nijmegen, 1996)}", title = "Algebraic domain decomposition", publisher = "Katholieke Univ. Nijmegen", address = "Dept. Math., Nijmegen", pages = "91--104", year = "1996", MRclass = "65F50", MRnumber = "1466986", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Bornemann:1996:CMM, author = "Folkmar A. Bornemann and Peter Deuflhard", title = "The cascadic multigrid method for elliptic problems", journal = j-NUM-MATH, volume = "75", number = "2", pages = "135--152", year = "1996", CODEN = "NUMMA7", DOI = "https://doi.org/10.1007/s002110050234", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N55 (65F10 65N30)", MRnumber = "1421984 (98a:65175)", MRreviewer = "S. F. McCormick", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", } @Article{Brand:1996:AHA, author = "R. Brand and W. Freeden and J. Fr{\"o}hlich", title = "An adaptive hierarchical approximation method on the sphere using axisymmetric locally supported basis functions", journal = j-COMPUTING, volume = "57", number = "3", pages = "187--212", year = "1996", CODEN = "CMPTA2", DOI = "https://doi.org/10.1007/BF02247405", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "86-08 (33C55 65D15 65D20 86A30)", MRnumber = "1415005 (98a:86001)", MRreviewer = "Menachem Dishon", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Computing. Archives for Scientific Computing", } @Article{Cai:1996:ODD, author = "Xiao-Chuan Cai and Yousef Saad", title = "Overlapping domain decomposition algorithms for general sparse matrices", journal = j-NUM-LIN-ALG-APPL, volume = "3", number = "3", pages = "221--237", month = may # "\slash " # jun, year = "1996", CODEN = "NLAAEM", DOI = "https://doi.org/10.1002/(SICI)1099-1506(199605/06)3:3<205::AID-NLA79>3.0.CO;2-K", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65F50 (65N55)", MRnumber = "1391886 (97b:65056)", bibdate = "Sun Sep 5 09:21:22 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/s/saad-yousef.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/numlinaa.bib; http://www.math.utah.edu/pub/tex/bib/saad-yousef.bib; http://www3.interscience.wiley.com/journalfinder.html; MathSciNet database", URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=15000988", acknowledgement = ack-nhfb, fjournal = "Numerical Linear Algebra with Applications", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", } @InProceedings{Carvalho:1996:LAK, author = "L. Carvalho and I. S. Duff and L. Giraud", title = "Linear algebra kernels for parallel domain decomposition methods", crossref = "Papadrakakis:1996:ACM", pages = "1--17", year = "1996", bibdate = "Mon Jan 02 09:27:18 2006", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/duff-iain-s.bib; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/duff-iain-s.bib", acknowledgement = ack-nhfb, } @Article{Cela:1996:PPL, author = "J. M. Cela and J. M. Alfonso and J. Labarta", title = "{PLS}: {A} Parallel Linear Solvers Library for Domain Decomposition Methods", journal = j-LECT-NOTES-COMP-SCI, volume = "1156", pages = "319--??", year = "1996", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Sat Dec 21 09:47:26 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1996b.bib", acknowledgement = ack-nhfb, } @Article{Chan:1996:CTM, author = "Tony F. Chan and Jun Zou", title = "A convergence theory of multilevel additive {Schwarz} methods on unstructured meshes", journal = j-NUMER-ALGORITHMS, volume = "13", number = "3--4", pages = "365--398 (1997)", month = "????", year = "1996", CODEN = "NUALEG", DOI = "https://doi.org/10.1007/BF02207701", ISSN = "1017-1398 (print), 1572-9265 (electronic)", MRclass = "65N55 (65F10 65M55 65N30)", MRnumber = "1430525 (98d:65155)", MRreviewer = "Tsorng-Whay Pan", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.psu.edu/dna/contents/na.html; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/numeralgorithms.bib; MathSciNet database", acknowledgement = ack-nhfb, classification = "B0290T (Finite element analysis); C4185 (Finite element analysis); C4260 (Computational geometry)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", fjournal = "Numerical Algorithms", keywords = "coarse grids; completely local bounds; convergence of numerical methods; convergence theory; elliptic equations; elliptic problems; fine grids; global coarse problem; local subproblems; mesh generation; mesh sizes; multilevel additive Schwarz domain decomposition methods; nonself-adjoint parabolic problems; optimal condition numbers; parabolic equations; shape-regular grids; subdomain overlap; subdomain sizes; symmetric positive definite solvers; unstructured meshes", pubcountry = "Switzerland", treatment = "T Theoretical or Mathematical", } @Article{Chan:1996:OSM, author = "Tony F. Chan and Barry F. Smith and Jun Zou", title = "Overlapping {Schwarz} methods on unstructured meshes using non-matching coarse grids", journal = j-NUM-MATH, volume = "73", number = "2", pages = "149--167", month = apr, year = "1996", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65N30", MRnumber = "97h:65135; 1 384 228", MRreviewer = "Jan Mandel", bibdate = "Sat Jun 6 05:48:29 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/nummath.bib", URL = "http://link.springer.de/link/service/journals/00211/bibs/6073002/60730149.htm; http://science.springer.de/nmee/bibs/6073002/60730149.htm", acknowledgement = ack-nhfb, classification = "C4130 (Interpolation and function approximation); C4170 (Differential equations); C4185 (Finite element analysis)", corpsource = "Dept. of Math., California Univ., Los Angeles, CA, USA", keywords = "coarse mesh; convergence of numerical methods; discrete problem; discretizations; domain decomposition methods; elliptic equations; elliptic problems; fine mesh; finite element interpolation; finite element problems; global coarse mesh; interpolation; mesh generation; Neumann boundary conditions; nonmatching coarse grids; optimal convergence rate; overlapping Schwarz methods; preconditioned system; unstructured meshes", treatment = "T Theoretical or Mathematical", } @Article{Charpentier:1996:DDM, author = "I. Charpentier and J. Saint Jean Paulin", title = "Domain decomposition methods for the study of the particular behavior of a very thin long structure", journal = j-NUMER-METHODS-PARTIAL-DIFFER-EQU, volume = "12", number = "6", pages = "643--655", year = "1996", CODEN = "NMPDEB", DOI = "https://doi.org/10.1002/(SICI)1098-2426(199611)12:6<643::AID-NUM1>3.3.CO;2-Y", ISSN = "0749-159X", MRclass = "73V20 (65N55 73B27 73K99)", MRnumber = "1419768 (98a:73060)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Methods for Partial Differential Equations. An International Journal", } @Article{Chen:1996:DDA, author = "Zhangxin Chen and Richard E. Ewing and Raytcho Lazarov", title = "Domain decomposition algorithms for mixed methods for second-order elliptic problems", journal = j-MATH-COMPUT, volume = "65", number = "214", pages = "467--490", month = apr, year = "1996", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N55 (65N30)", MRnumber = "96g:65117", MRreviewer = "Yves Achdou", bibdate = "Fri Jul 16 10:38:32 MDT 1999", bibsource = "http://www.ams.org/mcom/1996-65-214; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00703-X&u=/mcom/1996-65-214/", acknowledgement = ack-nhfb, affiliation = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", classcodes = "B0290T (Finite element analysis); B0290F (Interpolation and function approximation); C4185 (Finite element analysis); C4130 (Interpolation and function approximation)", corpsource = "Dept. of Math., Texas A and M Univ., College Station, TX, USA", keywords = "convergence theory; domain decomposition; domain decomposition algorithms; elliptic equations; finite element analysis; iterative; iterative methods; methods; mixed finite element methods; problems; Schwarz methods; second-order elliptic", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Ciccoli:1996:ADD, author = "M. C. Ciccoli", title = "Adaptive domain decomposition algorithms and finite volume/finite element approximation for advection-diffusion equations", journal = j-J-SCI-COMPUT, volume = "11", number = "4", pages = "299--341", year = "1996", CODEN = "JSCOEB", DOI = "https://doi.org/10.1007/BF02088951", ISSN = "0885-7474 (print), 1573-7691 (electronic)", ISSN-L = "0885-7474", MRclass = "76M25", MRnumber = "1425581 (97g:76068)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Scientific Computing", } @Article{Dai:1996:NDD, author = "Peiliang Dai and Shu Min Shen", title = "The nonconforming domain decomposition method for {Stokes} problems", journal = "Numer. Math. J. Chinese Univ.", volume = "18", number = "3", pages = "255--266", year = "1996", ISSN = "1000-081X", MRclass = "65N55 (76D07 76D25)", MRnumber = "1449334", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Mathematics. A Journal of Chinese Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao", } @InProceedings{Dostal:1996:NNT, author = "Zden{\v{e}}k Dost{\'a}l and V{\'\i}t Vondr{\'a}k", booktitle = "{Proceedings of the Prague Mathematical Conference 1996}", title = "Neumann-{Neumann} type domain decomposition for the solution of contact problem with {Coulomb} friction", publisher = "Icaris, Prague", pages = "83--88", year = "1996", MRclass = "65N55", MRnumber = "1703461", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Douglas:1996:NEN, author = "Jim {Douglas, Jr.} and Daoqi Yang", booktitle = "{Numerical analysis}", title = "Numerical experiments for a nonoverlapping domain decomposition method for partial differential equations", publisher = "World Sci. Publ., River Edge, NJ", pages = "85--97", year = "1996", MRclass = "65N55 (65N30)", MRnumber = "1444616", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Egeciouglu:1996:DDP, author = "O. Egeciouglu and A. Srinivasan", title = "Domain Decomposition for Particle Methods on the Sphere", journal = j-LECT-NOTES-COMP-SCI, volume = "1117", pages = "119--??", year = "1996", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Tue Oct 29 14:12:39 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1996b.bib", acknowledgement = ack-nhfb, } @Article{Eisenhauer:1996:DAP, author = "Greg Eisenhauer and Karsten Schwan", title = "Design and Analysis of a Parallel Molecular Dynamics Application", journal = j-J-PAR-DIST-COMP, volume = "35", number = "1", pages = "76--90", day = "25", month = may, year = "1996", CODEN = "JPDCER", DOI = "https://doi.org/10.1006/jpdc.1996.0070", ISSN = "0743-7315 (print), 1096-0848 (electronic)", bibdate = "Thu Mar 9 09:19:00 MST 2000", bibsource = "http://www.idealibrary.com/servlet/useragent?func=showAllIssues&curIssueID=jpdc; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/jpardistcomp.bib; http://www.math.utah.edu/pub/tex/bib/super.bib", URL = "http://www.idealibrary.com/links/doi/10.1006/jpdc.1996.0070/production; http://www.idealibrary.com/links/doi/10.1006/jpdc.1996.0070/production/pdf", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A6120J (Computer simulation of static and dynamic liquid behaviour); C6110P (Parallel programming); C7320 (Physics and chemistry computing)", corpsource = "Coll. of Comput., Georgia Inst. of Technol., Atlanta, GA, USA", keywords = "distributed memory MIMD; domain decomposition; dynamics simulations; KSR supercomputers; MIMD; molecular; molecular dynamics method; parallel algorithms; parallel molecular dynamics; parallelization; performance; program; scalability; shared memory; synchronization", treatment = "T Theoretical or Mathematical", } @Article{Everaars:1996:CDP, author = "C. T. H. Everaars and F. Arbab", title = "Coordination of Distributed\slash Parallel Multiple-grid Domain Decomposition", journal = j-LECT-NOTES-COMP-SCI, volume = "1117", pages = "131--??", year = "1996", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Tue Oct 29 14:12:39 MST 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1996b.bib", acknowledgement = ack-nhfb, } @Article{Foster:1996:CPP, author = "Ian Foster", title = "Compositional Parallel Programming Languages", journal = j-TOPLAS, volume = "18", number = "4", pages = "454--476", month = jul, year = "1996", CODEN = "ATPSDT", ISSN = "0164-0925 (print), 1558-4593 (electronic)", bibdate = "Thu Jan 9 11:33:28 MST 1997", bibsource = "http://www.acm.org/pubs/toc/; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/toplas.bib", URL = "http://www.acm.org/pubs/toc/Abstracts/toplas/233565.html", abstract = "In task-parallel programs, diverse activities can take place concurrently, and communication and synchronization patterns are complex and not easily predictable. Previous work has identified {\em compositionality\/} as an important design principle for task-parallel programs. In this article, we discuss alternative approaches to the realization of this principle, which holds that properties of program components should be preserved when those components are composed in parallel with other program components. We review two programming languages, Strand and Program Composition Notation, that support compositionality via a small number of simple concepts, namely, monotone operations on shared objects, a uniform addressing mechanism, and parallel composition. Both languages have been used extensively for large-scale application development, allowing us to provide an informed assessment of both their strengths and their weaknesses. We observe that while compositionality simplifies development of complex applications, the use of specialized languages hinders reuse of existing code and tools and the specification of domain decomposition strategies. This suggests an alternative approach based on small extensions to existing sequential languages. We conclude the article with a discussion of two languages that realized this strategy.", acknowledgement = ack-nhfb, keywords = "languages", subject = "{\bf D.3.2}: Software, PROGRAMMING LANGUAGES, Language Classifications, Concurrent, distributed, and parallel languages. {\bf D.3.3}: Software, PROGRAMMING LANGUAGES, Language Constructs and Features, Concurrent programming structures.", } @Article{Gastaldi:1996:ADD, author = "F. Gastaldi and L. Gastaldi and A. Quarteroni", title = "Adaptive domain decomposition methods for advection dominated equations", journal = j-EW-J-NUM-MATH, volume = "4", number = "3", pages = "165--206", year = "1996", CODEN = "EJNMEA", ISSN = "0928-0200", MRclass = "65N55", MRnumber = "1424828 (97k:65279)", MRreviewer = "S. F. McCormick", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "East-West Journal of Numerical Mathematics", } @Article{Georgiev:1996:IAO, author = "Krassimir Georgiev", title = "Implementation of the additive overlapping domain decomposition method to 3-{D} elasticity problems", journal = "Math. Balkanica (N.S.)", volume = "10", number = "4", pages = "419--433", year = "1996", ISSN = "0205-3217", MRclass = "65N30 (73V20)", MRnumber = "1606963", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Balkanica. New Series", } @Book{Griffiths:1996:NA, editor = "D. F. Griffiths and G. A. Watson", title = "Numerical analysis", publisher = "World Scientific Publishing Co. Inc.", address = "River Edge, NJ, USA", pages = "x + 370", year = "1996", ISBN = "981-02-2719-1", ISBN-13 = "978-981-02-2719-7", MRclass = "65-06 (00B30)", MRnumber = "1444609 (97j:65003)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "A. R. Mitchell 75th birthday volume", acknowledgement = ack-nhfb, } @Article{Hahne:1996:SIE, author = "M. Hahne and E. P. Stephan", title = "{Schwarz} Iterations for the Efficient Solution of Screen Problems with Boundary Elements", journal = j-COMPUTING, volume = "56", number = "1", pages = "61--85", year = "1996", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65N55 (65N38)", MRnumber = "97b:65141", MRreviewer = "Yves Achdou", bibdate = "Fri Oct 15 15:40:58 MDT 1999", bibsource = "Compendex database; http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/computing.bib; http://www.springer.at/springer.py?Page=40&Key=362&cat=3&id_journal=8; MathSciNet database; OCLC Contents1st database", URL = "http://www.springer.at/springer.py?Page=10&Key=362&cat=300607/tocs/springer.py?Page=47&Key=340&cat=3&id_abstract=286&id_volume=25&id_journal=8", acknowledgement = ack-nhfb, classification = "921.2; 921.3; 921.6", journalabr = "Comput Vienna New York", keywords = "Algorithms; Boundary conditions; Boundary element method; Boundary integral equations; Convergence of numerical methods; Derichlet boundary conditions; Domain decomposition algorithms; Integral equations; Iterative methods; Laplace transforms; Mathematical models; Neumann boundary conditions; Schwartz iterations", } @Article{Hazard:1996:STH, author = "Christophe Hazard and Marc Lenoir", title = "On the solution of time-harmonic scattering problems for {Maxwell}'s equations", journal = j-SIAM-J-MATH-ANA, volume = "27", number = "6", pages = "1597--1630", year = "1996", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/S0036141094271259", ISSN = "0036-1410 (print), 1095-7154 (electronic)", MRclass = "35Q60 (35C15 35J25 78A45)", MRnumber = "1416510 (98c:35157)", MRreviewer = "Rainer Picard", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", } @Article{He:1996:DDM, author = "Qiming He", title = "Domain decomposition method for nonlinear generalized {Schr{\"o}dinger-type} systems: semi-discrete problem", journal = j-APPL-MATH-COMP, volume = "77", number = "1", pages = "33--52", day = "1", month = jun, year = "1996", CODEN = "AMHCBQ", ISSN = "0096-3003 (print), 1873-5649 (electronic)", MRclass = "65M55", MRnumber = "1 386 689", bibdate = "Fri Oct 22 17:48:10 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/amc/cas_free/browse/browse.cgi?year=1996&volume=77&issue=1; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/amc/cas_sub/browse/browse.cgi?year=1996&volume=77&issue=1&aid=9500159", acknowledgement = ack-nhfb, affiliation = "Inst. of Software Eng., Wuhan Univ., China", } @Article{Hegarty:1996:DDD, author = "D. F. Hegarty and M. T. Kechadi and K. A. Dawson", title = "Dynamic Domain Decomposition and Load Balancing for Parallel Simulations of Long-Chained Molecules", journal = j-LECT-NOTES-COMP-SCI, volume = "1041", pages = "303--??", year = "1996", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Sat May 11 13:45:32 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1996a.bib", acknowledgement = ack-nhfb, } @Article{Heise:1996:PSL, author = "B. Heise and M. Kuhn", title = "Parallel solvers for linear and nonlinear exterior magnetic field problems based upon coupled {FE\slash BE} formulations", journal = j-COMPUTING, volume = "56", number = "3", pages = "237--258", year = "1996", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", MRclass = "65N55 (65N30 78A30)", MRnumber = "97h:65148", bibdate = "Fri Oct 15 15:41:02 MDT 1999", bibsource = "Compendex database; http://springerlink.metapress.com/openurl.asp?genre=journal&issn=0010-485X; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/computing.bib; http://www.springer.at/springer.py?Page=40&Key=362&cat=3&id_journal=8; MathSciNet database; OCLC Contents1st database", note = "International GAMM-Workshop on Multi-level Methods (Meisdorf, 1994)", URL = "http://www.springer.at/springer.py?Page=10&Key=362&cat=300607/tocs/springer.py?Page=47&Key=340&cat=3&id_abstract=296&id_volume=27&id_journal=8", acknowledgement = ack-nhfb, classification = "701.2; 723; 921; 921.1; 921.2; 921.6", journalabr = "Comput Vienna New York", keywords = "Boundary element method; Boundary value problems; Computational methods; Domain decomposition coupling; Finite element method; Galerkin boundary element methods; Magnetic field problems; Magnetic fields; Magnetostatics; Mathematical models; Matrix algebra; Multiprocessing systems; Parallel algorithms; Parallel solvers; Preconditioning; Problem solving; Sommerfield radiation; Variational techniques", } @Article{Huang:1996:ASA, author = "Jian Guo Huang", title = "An additive {Schwarz} alternating method using nonconforming finite elements---the case of weak overlap", journal = "Math. Numer. Sin.", volume = "18", number = "1", pages = "103--112", year = "1996", ISSN = "0254-7791", MRclass = "65N55 (65N30)", MRnumber = "1433732 (97m:65227)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @Article{Hwang:1996:BEI, author = "Kai Hwang and Zhiwei Xu and Masahiro Arakawa", title = "Benchmark Evaluation of the {IBM} {SP2} for Parallel Signal Processing", journal = j-IEEE-TRANS-PAR-DIST-SYS, volume = "7", number = "5", pages = "522--536 (or 522--535??)", month = may, year = "1996", CODEN = "ITDSEO", ISSN = "1045-9219 (print), 1558-2183 (electronic)", bibdate = "Fri Nov 6 12:31:15 MST 1998", bibsource = "Compendex database; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranspardistsys.bib", URL = "http://www.computer.org/tpds/td1996/l0522abs.htm", acknowledgement = ack-nhfb, affiliation = "Univ of Hong Kong", affiliationaddress = "Pokfulam, Hong Kong", classification = "716.1; 722.4; 723; 723.1; C5260 (Digital signal processing); C5440 (Multiprocessing systems); C5470 (Performance evaluation and testing); C6150N (Distributed systems software)", corpsource = "Dept. of Comput. Sci., Hong Kong Univ., Hong Kong", journalabr = "IEEE Trans Parallel Distrib Syst", keywords = "AIX parallel programming environment; architectures; benchmark experiments; coarse-grain parallelism; Collective communication; collective communication operations; Computer architecture; Computer programming; Computer software; Data communication systems; Data parallelism; distributed memory systems; domain decomposition; High-Order; IBM message-passing library; IBM SP2 architecture; massively; Massively parallel processors; message; message passing; Message passing library; parallel; Parallel processing systems; parallel processors; parallel signal processing; partitioned; passing multicomputers; performance evaluation; Post-Doppler program; processing; programs; radar signal; radar signal processing; Real time systems; real-time systems; Response time (computer systems); scalability analysis; Scalability analysis; Signal processing; Space time adaptive processing; Space-Time Adaptive Processing", treatment = "P Practical", } @Article{Jiang:1996:MAD, author = "Mei Qun Jiang", title = "Matrix analysis of domain decomposition methods for the biharmonic equation", journal = "Numer. Math. J. Chinese Univ.", volume = "18", number = "1", pages = "1--6", year = "1996", ISSN = "1000-081X", MRclass = "65N55", MRnumber = "1600725", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Mathematics. A Journal of Chinese Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao", } @Article{Kahlert:1996:GPV, author = "Martin Kahlert and Meinhard Paffrath and Utz Wever", title = "Grid partitioning versus domain decomposition: a comparison of some industrial problems on workstation clusters", journal = "Surveys Math. Indust.", volume = "6", number = "2", pages = "133--166", year = "1996", CODEN = "SMINER", ISSN = "0938-1953", MRclass = "65Y05 (65F05 65F10)", MRnumber = "1418858", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Surveys on Mathematics for Industry", } @Article{Karageorghis:1996:SDD, author = "Andreas Karageorghis and Tao Tang", title = "A spectral domain decomposition approach for steady {Navier--Stokes} problems in circular geometries", journal = "Comput. \& Fluids", volume = "25", number = "6", pages = "541--549", year = "1996", CODEN = "CPFLB1", DOI = "https://doi.org/10.1016/0045-7930(96)00006-0", ISSN = "0045-7930", MRclass = "76M25 (65N55)", MRnumber = "1408535 (97f:76061)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Computers \& Fluids. An International Journal", } @Article{Khoromskij:1996:FCI, author = "Boris N. Khoromskij", title = "On fast computations with the inverse to harmonic potential operators via domain decomposition", journal = j-NUM-LIN-ALG-APPL, volume = "3", number = "2", pages = "91--111", month = mar # "\slash " # apr, year = "1996", CODEN = "NLAAEM", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "65N55 (65N38)", MRnumber = "96k:65080", MRreviewer = "W{\l}odzimierz Proskurowski", bibdate = "Wed Sep 15 19:24:14 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/numlinaa.bib; http://www3.interscience.wiley.com/journalfinder.html", URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=15000986", acknowledgement = ack-nhfb, journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", } @InProceedings{Korneev:1996:PDD, author = "V. G. Korneev and S. A. Ivanov", booktitle = "{Proceedings of the International Conference on the Optimization of the Finite Element Approximations (St.\ Petersburg, 1995)}", title = "Preconditioning in the domain decomposition methods for the {$p$}-version with the hierarchical bases", volume = "8(9)", publisher = "????", address = "????", pages = "63--73", year = "1996", ISSN = "0234-0879", MRclass = "65N55 (65F10)", MRnumber = "1444873 (97m:65230)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Mat. Model.", acknowledgement = ack-nhfb, fjournal = "Rossi\u\i skaya Akademiya Nauk. Matematicheskoe Modelirovanie", } @InCollection{Kuhn:1996:DDB, author = "Michael Kuhn", booktitle = "{Boundary elements: implementation and analysis of advanced algorithms (Kiel, 1996)}", title = "Domain decomposition boundary element methods: preprocessing and parallel solution", volume = "54", publisher = pub-VIEWEG, address = pub-VIEWEG:adr, pages = "147--158", year = "1996", MRclass = "65N55 (65N22 65N38 65Y05)", MRnumber = "1724964", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", series = "Notes Numer. Fluid Mech.", acknowledgement = ack-nhfb, } @Article{Laevsky:1996:POG, author = "Yu. M. Laevsky", title = "Preconditioning operators for grid parabolic problems", journal = j-RUSS-J-NUM-ANAL-MATH-MODEL, volume = "11", number = "6", pages = "497--515", year = "1996", CODEN = "RJNMEH", DOI = "https://doi.org/10.1515/rnam.1996.11.6.497", ISSN = "0927-6467", MRclass = "65M55 (65M50)", MRnumber = "1436842 (98a:65136)", MRreviewer = "Stanly L. Steinberg", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Russian Journal of Numerical Analysis and Mathematical Modelling", } @Article{Lybeck:1996:SMD, author = "Nancy J. Lybeck and Kenneth L. Bowers", title = "Sinc Methods for Domain Decomposition", journal = j-APPL-MATH-COMP, volume = "75", number = "1", pages = "13--41", day = "1", month = mar, year = "1996", CODEN = "AMHCBQ", ISSN = "0096-3003 (print), 1873-5649 (electronic)", MRclass = "65N55", MRnumber = "97a:65108", MRreviewer = "Lutz Tobiska", bibdate = "Fri Oct 22 17:48:01 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/amc/cas_free/browse/browse.cgi?year=1996&volume=75&issue=1; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applmathcomput.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/amc/cas_sub/browse/browse.cgi?year=1996&volume=75&issue=1&aid=9500099", acknowledgement = ack-nhfb, affiliation = "Dept. of Math. Sci., Montana State Univ., Bozeman, MT, USA", xxnumber = "2--3", } @Article{Ma:1996:PPC, author = "Sangback Ma", title = "A partial proof of the convergence of the block-{ADI} preconditioner", journal = "Commun. Korean Math. Soc.", volume = "11", number = "2", pages = "495--501", year = "1996", ISSN = "1225-1763", MRclass = "65F50 (65F10)", MRnumber = "1431615 (97j:65076)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Korean Mathematical Society. Communications", } @Article{Maischak:1996:DDM, author = "Matthias Maischak and Ernst P. Stephan and Thanh Tran", title = "Domain decomposition methods for boundary integral equations of the first kind: numerical results", journal = j-APPL-ANAL, volume = "63", number = "1--2", pages = "111--132", year = "1996", CODEN = "APANCC", DOI = "https://doi.org/10.1080/00036819608840498", ISSN = "0003-6811", MRclass = "65N55 (65N38)", MRnumber = "1622615 (99c:65234)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Applicable Analysis. An International Journal", } @Article{Mandel:1996:BDD, author = "Jan Mandel and Marian Brezina", title = "Balancing domain decomposition for problems with large jumps in coefficients", journal = j-MATH-COMPUT, volume = "65", number = "216", pages = "1387--1401", month = oct, year = "1996", CODEN = "MCMPAF", ISSN = "0025-5718 (paper), 1088-6842 (electronic)", MRclass = "65N55 (65F10)", MRnumber = "97a:65109", MRreviewer = "Zheng Hui Xie", bibdate = "Fri Jul 16 10:38:37 MDT 1999", bibsource = "http://www.ams.org/mcom/1996-65-216; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp1990.bib", URL = "http://www.ams.org/jourcgi/jour-pbprocess?fn=110&arg1=S0025-5718-96-00757-0&u=/mcom/1996-65-216/", acknowledgement = ack-nhfb, classcodes = "B0290T (Finite element analysis); B0290P (Differential equations); B0290B (Error analysis in numerical methods); C4185 (Finite element analysis); C4170 (Differential equations); C4110 (Error analysis in numerical methods)", corpsource = "Comput. Math. Center, Colorado Univ., Denver, CO, USA", keywords = "abstract theory; Balancing Domain Decomposition; condition number bounds; elements; elliptic equation; elliptic equations; error; error analysis; finite; finite element analysis; iteration solution; linear elements; mesh size; subdomains", treatment = "T Theoretical or Mathematical", } @InProceedings{Markus:1996:PEM, author = "S. Markus and S. B. Kim and K. Pantazopoulos and A. L. Ocken and E. N. Houstis and P. Wu and S. Weerawarana and D. Maharry", title = "Performance evaluation of {MPI} implementations and {MPI} based {Parallel ELLPACK} solvers", crossref = "IEEE:1996:PSM", pages = "162--169", year = "1996", bibdate = "Sat Apr 19 16:34:54 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", acknowledgement = ack-nhfb, classification = "C4140 (Linear algebra); C4170 (Differential equations); C4185 (Finite element analysis); C6150N (Distributed systems software); C7310 (Mathematics computing)", conftitle = "Proceedings. Second MPI Developer's Conference", corpsource = "Dept. of Comput. Sci., Purdue Univ., West Lafayette, IN, USA", keywords = "application program interfaces; distributed memory architectures; domain decomposition; elliptic boundary value problems; elliptic equations; finite difference methods; finite element mesh generation; iterative solvers; ITPACK library; mathematics computing; mesh generation; mesh partitioning; message passing; message passing communication libraries; MIMD; MPI; Parallel ELLPACK; parallel mesh generator; partial differential equations; problem solving environment; PVM; second order elliptic partial differential equations; software libraries; software performance evaluation; sparse algebraic equations; sparse matrices; workstation clusters", sponsororg = "IEEE Comput. Soc. Tech. Committee on Distributed Process", treatment = "P Practical; T Theoretical or Mathematical", } @Article{Rui:1996:NDD, author = "H. X. Rui", title = "Nonoverlapping domain decomposition method with mixed element for elliptic problems", journal = j-J-COMP-MATH, volume = "14", number = "4", pages = "291--300", year = "1996", CODEN = "JCMMEB", ISSN = "0254-9409", MRclass = "65N55", MRnumber = "1414849 (97m:65231)", MRreviewer = "Charles I. Goldstein", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Mathematics. An International Journal on Numerical Methods, Analysis and Applications", } @Article{Samarskii:1996:ICA, author = "A. A. Samarski{\u\i} and P. N. Vabishchevich", title = "Iterative cluster aggregation methods for systems of linear equations", journal = j-DOKL-AKAD-NAUK, volume = "349", number = "1", pages = "22--25", year = "1996", CODEN = "DANKAS", ISSN = "0869-5652", MRclass = "65F10", MRnumber = "1440978 (98d:65041)", MRreviewer = "Olexander S. Babanin", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Rossi\u\i skaya Akademiya Nauk. Doklady Akademii Nauk", } @InProceedings{Schnack:1996:NOD, author = "E. Schnack and Sz. Szikrai and K. T{\"u}rke", booktitle = "{Proceedings of the Prague Mathematical Conference 1996}", title = "Non-overlapping domain decomposition with {BEM} and {FEM}: theory and applications", publisher = "Icaris, Prague", pages = "289--294", year = "1996", MRclass = "65M55 (65N55)", MRnumber = "1703495", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InProceedings{Schwandt:1996:GCI, author = "H. Schwandt", title = "Globally Convergent Iterative Domain Decomposition Methods for the Parallel Solution of a Class of Nonlinear Systems of Equations", crossref = "Alefeld:1996:SCV", pages = "280--286", year = "1996", bibdate = "Mon May 20 06:32:10 MDT 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; OCLC Proceedings database", acknowledgement = ack-nhfb, } @InCollection{Shao:1996:ADD, author = "S. Shao and R. C. Y. Chin", booktitle = "{Differential equations and applications (Hangzhou, 1996)}", title = "An asymptotic-domain decomposition method for a time-dependent singularly perturbed system", publisher = "Int. Press, Cambridge, MA", pages = "269--276", year = "1996", MRclass = "65M55 (35K10)", MRnumber = "1602579", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Shishkin:1996:PDD, author = "Grigorii I. Shishkin and Petr N. Vabishchevich", title = "Parallel domain decomposition methods with the overlapping of subdomains for parabolic problems", journal = j-MATH-MODELS-METHODS-APPL-SCI, volume = "6", number = "8", pages = "1169--1185", year = "1996", CODEN = "MMMSEU", DOI = "https://doi.org/10.1142/S0218202596000493", ISSN = "0218-2025", MRclass = "65N55 (65N06 65N12)", MRnumber = "1428151 (97j:65196)", MRreviewer = "Zheng Hui Xie", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematical Models \& Methods in Applied Sciences", } @Book{Smith:1996:DD, author = "Barry F. Smith and Petter E. Bj{\o}rstad and William D. Gropp", title = "Domain decomposition", publisher = pub-CAMBRIDGE, address = pub-CAMBRIDGE:adr, pages = "xii + 224", year = "1996", ISBN = "0-521-49589-X", ISBN-13 = "978-0-521-49589-9", MRclass = "65-01 (65M55 65N55)", MRnumber = "1410757 (98g:65003)", MRreviewer = "Lutz Tobiska", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Parallel multilevel methods for elliptic partial differential equations", acknowledgement = ack-nhfb, } @InCollection{Spielman:1996:SPW, author = "Daniel A. Spielman and Shang-Hua Teng", booktitle = "{37th Annual Symposium on Foundations of Computer Science (Burlington, VT, 1996)}", title = "Spectral partitioning works: planar graphs and finite element meshes", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "96--105", year = "1996", DOI = "https://doi.org/10.1109/SFCS.1996.548468", MRclass = "65N30 (05C50 68R10)", MRnumber = "1450607 (98d:65144)", MRreviewer = "Beny Neta", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Book{Steinbach:1996:GRE, author = "Olaf Steinbach", title = "{Gebietszerlegungsmethoden mit Randintegralgleichungen und effiziente numerische L{\"o}sungsverfahren f{\"u}r gemischte Randwertprobleme}. ({German}) [{Area} decomposition methods with boundary integral equations and efficient numeric solution procedures for mixed boundary value problems]", publisher = "Universit{\"a}t Stuttgart", address = "Stuttgart, Germany", pages = "iv + 155", year = "1996", MRclass = "65N55 (65N38)", MRnumber = "1466967 (98f:65121)", MRreviewer = "Lutz Tobiska", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Dissertation, Universit{\"a}t Stuttgart, Stuttgart, 1996", acknowledgement = ack-nhfb, language = "German", } @InProceedings{Strietzel:1996:PTS, author = "M. Strietzel", title = "Parallel turbulence simulation based on {MPI}", crossref = "Liddell:1996:HCN", pages = "283--289", year = "1996", bibdate = "Sat Apr 19 16:34:54 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/pvm.bib", acknowledgement = ack-nhfb, classification = "A0260 (Numerical approximation and analysis); A0270 (Computational techniques); A4710 (General fluid dynamics theory, simulation and other computational methods); A4725 (Turbulent flows, convection, and heat transfer); C4240P (Parallel programming and algorithm theory); C6110P (Parallel programming); C7320 (Physics and chemistry computing)", conftitle = "High-Performance Computing and Networking. International Conference and Exhibition HPCN Europe 1996", corpsource = "Zentrum fur Paralleles Rechnen, Koln Univ., Germany", keywords = "direct numerical simulation; divide and conquer method; divide and conquer methods; domain decomposition; flow simulation; large-eddy simulation; message passing; message passing platform; MPI; numerical analysis; parallel algorithms; parallel turbulence simulation; parallelization strategy; physics computing; Poisson equation; three dimensional incompressible Navier--Stokes equation; turbulence; turbulent fluids", treatment = "T Theoretical or Mathematical", } @Article{Trotsenko:1996:ADD, author = "V. A. Trotsenko", title = "Application of the domain decomposition method to a nonlinear problem in a variational formulation", journal = "Dopov. Nats. Akad. Nauk Ukra{\"\i} ni", volume = "4", number = "??", pages = "34--38", year = "1996", ISSN = "0868-8044", MRclass = "73K15 (73G05 73V25)", MRnumber = "1417613", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Nats\=\i onal\cprime na Akadem\=\i ya Nauk Ukra{\"\i} ni. Dopov\=\i d\=\i. Matematika. Prirodoznavstvo. Tekhn\=\i chn\=\i\ Nauki", } @Article{Trotta:1996:MFE, author = "R. L. Trotta", title = "Multidomain finite elements for advection--diffusion equations", journal = j-APPL-NUM-MATH, volume = "21", number = "1", pages = "91--118", day = "6", month = jun, year = "1996", CODEN = "ANMAEL", DOI = "https://doi.org/10.1016/0168-9274(95)00131-X", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N55; 65Nxx", MRnumber = "1418698 (97i:65180)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "Compendex database; http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1996&volume=21&issue=1; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib; MathSciNet database", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_sub/browse/browse.cgi?year=1996&volume=21&issue=1&aid=679", acknowledgement = ack-nhfb, affiliation = "Universita degli Studi di Trento", affiliationaddress = "Trento, Italy", classification = "921; 921.2; 921.6", fjournal = "Applied Numerical Mathematics. An IMACS Journal", journalabr = "Appl Numer Math", keywords = "Adaptive algorithms; Adaptive Dirichlet Neumann methods; Adaptive domain decomposition algorithms; Adaptive Robin Neumann methods; Advection diffusion equation; Finite element method; Galerkin method; Iterative methods; Nonoverlapping multidomain partitions; Partial differential equations; Transmission conditions", } @Article{Tsui:1996:PDD, author = "Wai Kin Tsui", title = "Preconditioned domain decomposition methods for non-self-adjoint elliptic problems", journal = "Southeast Asian Bull. Math.", volume = "20", number = "3", pages = "109--116", year = "1996", ISSN = "0218-0006", MRclass = "65M55 (65N55)", MRnumber = "1430615", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "Conference on Scientific Computation '94 (Shatin, 1994)", acknowledgement = ack-nhfb, fjournal = "Southeast Asian Mathematical Society. Southeast Asian Bulletin of Mathematics", } @Article{Vabishchevich:1996:DSD, author = "P. N. Vabishchevich", title = "Difference schemes of domain decomposition for nonstationary convection-diffusion problems", journal = "Differ. Uravn.", volume = "32", number = "7", pages = "923--927, 1005", year = "1996", ISSN = "0374-0641", MRclass = "65M55 (76M20 76Rxx)", MRnumber = "1492304 (98i:65075)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Differentsial\cprime nye Uravneniya", } @Article{Widlund:1996:DDM, author = "Olof B. Widlund", title = "Domain decomposition methods for spectral and mortar finite element approximations of elliptic problems", journal = j-Z-ANGE-MATH-MECH, volume = "76", number = "suppl. 1", pages = "247--250", year = "1996", CODEN = "ZAMMAX", ISSN = "0044-2267 (print), 1521-4001 (electronic)", MRclass = "65N55 (65K10)", MRnumber = "1444400", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", note = "ICIAM/GAMM 95 (Hamburg, 1995)", acknowledgement = ack-nhfb, fjournal = "Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik", } @Article{Xiong:1996:CPD, author = "Yue-shan Xiong", title = "The {Chebyshev} pseudospectral domain decomposition method for solving two-dimensional elliptic equation", journal = "Numer. Math. J. Chinese Univ. (English Ser.)", volume = "5", number = "1", pages = "1--12", year = "1996", ISSN = "1004-8979 (print), 2079-7338 (electronic)", MRclass = "65N35 (65N55)", MRnumber = "1633427", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Mathematics. A Journal of Chinese Universities. (English Series)", } @Article{Xu:1996:DDM, author = "Chuan Ju Xu", title = "A domain decomposition method for solving generalized viscous-inviscid coupled equations", journal = "Xiamen Daxue Xuebao Ziran Kexue Ban", volume = "35", number = "2", pages = "168--173", year = "1996", CODEN = "HMHHAF", ISSN = "0438-0479", MRclass = "76D07 (65N55 76M25)", MRnumber = "1410256 (97i:76046)", MRreviewer = "Wu Zhang", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Xiamen Daxue Xuebao. Ziran Kexue Ban. Journal of Xiamen University. Natural Science", } @Article{Yang:1996:PIN, author = "Daoqi Yang", title = "A parallel iterative nonoverlapping domain decomposition procedure for elliptic problems", journal = j-IMA-J-NUMER-ANAL, volume = "16", number = "1", pages = "75--91", month = jan, year = "1996", CODEN = "IJNADH", ISSN = "0272-4979 (print), 1464-3642 (electronic)", ISSN-L = "0272-4979", MRclass = "65N55 (65M55 65Y05 68Q22)", MRnumber = "97d:65063", MRreviewer = "Li Shan Kang", bibdate = "Tue Dec 26 12:54:22 2000", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/imajnumeranal.bib; http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_01/; MathSciNet database", URL = "http://www3.oup.co.uk/imanum/hdb/Volume_16/Issue_01/160075.sgm.abs.html", acknowledgement = ack-nhfb, } @Article{Yu:1996:DND, author = "De Hao Yu", title = "A discretization of a nonoverlapping domain decomposition method for unbounded domains and its convergence", journal = "Math. Numer. Sin.", volume = "18", number = "3", pages = "328--336", year = "1996", ISSN = "0254-7791", MRclass = "65N30 (65N06)", MRnumber = "1438014", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Mathematica Numerica Sinica. Jisuan Shuxue", } @Article{Yuan:1996:LBP, author = "X. Yuan and B. He and D. Balsara and R. Melhem", title = "A Load Balancing Package for Domain Decomposition on Distributed Memory Systems", journal = j-LECT-NOTES-COMP-SCI, volume = "1067", pages = "547--??", year = "1996", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Wed Aug 14 09:38:08 MDT 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1996a.bib", acknowledgement = ack-nhfb, } @Article{Zeng:1996:DDM, author = "Jin Ping Zeng", title = "A domain decomposition method with monotone convergence", journal = "Numer. Math. J. Chinese Univ.", volume = "18", number = "2", pages = "175--182", year = "1996", ISSN = "1000-081X", MRclass = "65N55 (49J40)", MRnumber = "1600792", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Numerical Mathematics. A Journal of Chinese Universities. Gaodeng Xuexiao Jisuan Shuxue Xuebao", } @Article{Zhang:1996:IDD, author = "Tie Zhang and Bao Kuan Li", title = "Iterative domain decomposition algorithms for solving finite element equations", journal = "J. Northeast. Univ. Nat. Sci.", volume = "17", number = "5", pages = "571--575", year = "1996", CODEN = "DDXKEZ", ISSN = "1005-3026", MRclass = "65N30 (65N12 65Y05)", MRnumber = "1440583 (97m:65213)", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, fjournal = "Journal of Northeastern University. Natural Science. Dongbei Daxue Xuebao. Ziran Kexue Ban", } @InCollection{Achdou:1997:AME, author = "Yves Achdou and Yuri Kuznetsov", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Algorithms for the mortar element method", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "33--42", year = "1997", MRclass = "65N55 (65N30)", MRnumber = "1943444", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Achdou:1997:MEM, author = "Yves Achdou and Jean-Claude Hontand and Olivier Pironneau", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "A mortar element method for fluids", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "351--360", year = "1997", MRclass = "65M55 (65Y05 76M10)", MRnumber = "1943478", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Ashcraft:1997:UDD, author = "Cleve Ashcraft and Joseph W. H. Liu", title = "Using domain decomposition to find graph bisectors", journal = j-BIT-NUM-MATH, volume = "37", number = "3", pages = "506--534", month = sep, year = "1997", CODEN = "BITTEL, NBITAB", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65F50 (65F05 68R10)", MRnumber = "1 483 672", bibdate = "Fri Nov 13 07:00:34 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", note = "Direct methods, linear algebra in optimization, iterative methods (Toulouse, 1995/1996).", URL = "http://www.mai.liu.se/BIT/contents/bit37.html", acknowledgement = ack-nhfb, } @Article{Averbuch:1997:HST, author = "A. Averbuch and L. Ioffe and M. Israeli and L. Vozovoi", title = "Highly Scalable Two- and Three-Dimensional {Navier--Stokes} Parallel Solvers on {MIMD} Multiprocessors", journal = j-J-SUPERCOMPUTING, volume = "11", number = "1", pages = "7--39", month = mar, year = "1997", CODEN = "JOSUED", DOI = "https://doi.org/10.1023/A:1007909328601", ISSN = "0920-8542 (print), 1573-0484 (electronic)", ISSN-L = "0920-8542", bibdate = "Wed Jul 6 12:13:06 MDT 2005", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0920-8542&volume=11&issue=1; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/jsuper.bib; http://www.wkap.nl/issuetoc.htm/0920-8542+11+1+1997", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0920-8542&volume=11&issue=1&spage=7; http://www.wkap.nl/oasis.htm/141469", acknowledgement = ack-nhfb, classification = "A4710 (General fluid dynamics theory, simulation and other computational methods); C4170 (Differential equations); C4190 (Other numerical methods); C5440 (Multiprocessing systems); C6110P (Parallel programming); C7320 (Physics and chemistry computing)", corpsource = "Sch. of Math. Sci., Tel Aviv Univ., Israel", keywords = "3D periodic box; domain decomposition; Fourier transforms; global elliptic problems; Helmholtz; Helmholtz equations; incompressible three dimensional Navier--Stokes equations; interior boundaries; Local Fourier Basis technique; local functions; MDLF method; MIMD multiprocessors; multidomain local Fourier method; multiprocessing systems; Navier--Stokes equations; Navier--Stokes parallel solvers; neighboring subdomains; parallel algorithm; parallel algorithms; parallel strips; physics computing; Poisson types; standard Fourier method; third order multistep method; time discretization; time discretization procedure; weighted interface Green functions", pubcountry = "Netherlands", treatment = "P Practical", } @InCollection{Averbuch:1997:PIM, author = "A. Averbuch and K. Ruvinsky and M. Israeli and L. Vozovoi", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Parallel implementation of multidomain {Fourier} algorithm for 2-{D} and 3-{D Navier--Stokes} equations", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "433--441", year = "1997", MRclass = "65M70 (65M55 65Y05 76M25)", MRnumber = "1943483", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Bamberger:1997:DDM, author = "Alain Bamberger and Roland Glowinski and Quang Huy Tran", title = "A Domain Decomposition Method for the Acoustic Wave Equation with Discontinuous Coefficients and Grid Change", journal = j-SIAM-J-NUMER-ANAL, volume = "34", number = "2", pages = "603--639", month = apr, year = "1997", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65M55 (35L05 46N40 65M12)", MRnumber = "98c:65161", MRreviewer = "Dennis C. Jespersen", bibdate = "Fri Dec 4 13:36:09 MST 1998", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/34/2; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/26151", acknowledgement = ack-nhfb, } @InCollection{Bjorstad:1997:ASM, author = "Petter E. Bj{\o}rstad and Maksymilian Dryja and Eero Vainikko", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Additive {Schwarz} methods without subdomain overlap and with new coarse spaces", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "141--157", year = "1997", MRclass = "65N55", MRnumber = "1943457", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Bornemann:1997:CMM, author = "Folkmar A. Bornemann and Peter Deuflhard", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Cascadic multigrid methods", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "205--212", year = "1997", MRclass = "65N55", MRnumber = "1943461", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Brakkee:1997:DDI, author = "E. Brakkee and C. Vuik and P. Wesseling", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Domain decomposition for the incompressible {Navier--Stokes} equations: solving subdomain problems accurately and inaccurately", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "443--451", year = "1997", MRclass = "65M55 (65M06 76M25)", MRnumber = "1943484", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Bristeau:1997:ECD, author = "M. O. Bristeau and E. J. Dean and R. Glowinski and V. Kwok and J. Periaux", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Exact controllability and domain decomposition methods with non-matching grids for the computation of scattering waves", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "291--308", year = "1997", MRclass = "65N55 (35B25 35J05 35P25 65M55)", MRnumber = "1943472", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Bristeau:1997:FDM, author = "M. O. Bristeau and V. Girault and R. Glowinski and T.-W. Pan and J. P{\'e}riaux and Y. Xiang", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "On a fictitious domain method for flow and wave problems", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "361--386", year = "1997", MRclass = "65N30 (65M60 76M25)", MRnumber = "1943479", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Cai:1997:SMU, author = "Xiao-Chuan Cai and Charbel Farhat and Marcus Sarkis", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "{Schwarz} methods for the unsteady compressible {Navier--Stokes} equations on unstructured meshes", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "453--460", year = "1997", MRclass = "65M55 (76M25)", MRnumber = "1943485", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Carstensen:1997:DDN, author = "Carsten Carstensen", title = "Domain decomposition for a non-smooth convex minimization problem and its application to plasticity", journal = j-NUM-LIN-ALG-APPL, volume = "4", number = "3", pages = "177--190", month = may # "\slash " # jun, year = "1997", CODEN = "NLAAEM", ISSN = "1070-5325 (print), 1099-1506 (electronic)", ISSN-L = "1070-5325", MRclass = "73V20 (49J45 65N55 73E05 73V25)", MRnumber = "98d:73067", MRreviewer = "Weimin Han", bibdate = "Wed Sep 15 19:24:16 MDT 1999", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/numlinaa.bib; http://www3.interscience.wiley.com/journalfinder.html", URL = "http://www3.interscience.wiley.com/cgi-bin/abstract?ID=15027; http://www3.interscience.wiley.com/cgi-bin/fulltext?ID=15027&PLACEBO=IE.pdf", acknowledgement = ack-nhfb, journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1506", } @Article{Carvalho:1997:PCC, author = "L. M. R. Carvalho and J. M. L. M. Palma", title = "Parallelization of a {CFD} Code Using {PVM} and Domain Decomposition Techniques", journal = j-LECT-NOTES-COMP-SCI, volume = "1215", pages = "247--??", year = "1997", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Fri Aug 22 11:59:49 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1997a.bib", acknowledgement = ack-nhfb, } @Article{Cermele:1997:NUD, author = "M. Cermele and M. Colajanni", title = "Non-uniform and dynamic domain decompositions for hypercomputing", journal = j-PARALLEL-COMPUTING, volume = "23", number = "6", pages = "699--720", day = "20", month = jun, year = "1997", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", bibdate = "Fri Aug 6 10:15:27 MDT 1999", bibsource = "Compendex database; http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1997&volume=23&issue=6; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1997&volume=23&issue=6&aid=1179", acknowledgement = ack-nhfb, affiliation = "Universita di Roma", affiliationaddress = "Rome, Italy", classification = "722.4; 723.1", journalabr = "Parallel Comput", keywords = "Adaptive data distribution; Algorithms; Computer networks; Computer programming; Data migrations; Data partition algorithm; Distributed computer systems; Irregular domain decomposition; Parallel processing systems; Response time (computer systems)", } @InCollection{Chan:1997:MDD, author = "Tony F. Chan and Susie Go and Jun Zou", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Multilevel domain decomposition and multigrid methods for unstructured meshes: algorithms and theory", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "159--176", year = "1997", MRclass = "65N55", MRnumber = "1943458", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Chang:1997:CPS, author = "Dawei Chang", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "On convergence of the parallel {Schwarz} algorithm with pseudo-boundary and the parallel multisplitting iterative method", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "251--258", year = "1997", MRclass = "65F10 (65N22 65N55)", MRnumber = "1943467", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Chen:1997:DDM, author = "Zhangxin Chen and Richard E. Ewing", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Domain decomposition methods and multilevel preconditioners for nonconforming and mixed methods for partial differential problems", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "213--220", year = "1997", MRclass = "65N30 (65N55)", MRnumber = "1943462", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Chen:1997:SSB, author = "Ke Chen", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Solution of singular boundary element equations based on domain splitting", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "43--50", year = "1997", MRclass = "65N38 (65N55)", MRnumber = "1943445", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Chu:1997:DDA, author = "Deling Chu and Xiancheng Hu", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Domain decomposition algorithms for a generalized {Stokes} problem", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "461--467", year = "1997", MRclass = "65N55", MRnumber = "1943486", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Deng:1997:TCA, author = "Qingping Deng", title = "Timely Communication: An Analysis for a Nonoverlapping Domain Decomposition Iterative Procedure", journal = j-SIAM-J-SCI-COMP, volume = "18", number = "5", pages = "1517--1525", month = sep, year = "1997", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827595286797", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65N55", MRnumber = "98d:65157", bibdate = "Fri Dec 4 14:47:53 MST 1998", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/18/5; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/28679", acknowledgement = ack-nhfb, } @Article{DiasDAlmeida:1997:PNL, author = "F. {Dias D'Almeida} and P. B. Vasconcelos", title = "Preconditioners for Nonsymmetric Linear Systems in Domain Decomposition Applied to a Coupled Discretization of {Navier--Stokes} Equations", journal = j-LECT-NOTES-COMP-SCI, volume = "1215", pages = "295--??", year = "1997", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Fri Aug 22 11:59:49 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1997a.bib", acknowledgement = ack-nhfb, } @Article{Douglas:1997:ADD, author = "J. {Douglas, Jr.} and C.-S. Huang", title = "An accelerated domain decomposition procedure based on {Robin} transmission conditions", journal = j-BIT-NUM-MATH, volume = "37", number = "3", pages = "678--686", month = sep, year = "1997", CODEN = "BITTEL, NBITAB", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65N55 (65F35)", MRnumber = "1 483 680", bibdate = "Fri Nov 13 07:00:34 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", note = "Direct methods, linear algebra in optimization, iterative methods (Toulouse, 1995/1996).", URL = "http://www.mai.liu.se/BIT/contents/bit37.html", acknowledgement = ack-nhfb, } @Article{Dryja:1997:NDD, author = "M. Dryja and W. Hackbusch", title = "On the nonlinear domain decomposition method", journal = j-BIT-NUM-MATH, volume = "37", number = "2", pages = "296--311", month = jun, year = "1997", CODEN = "BITTEL, NBITAB", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "65H10 (65N55)", MRnumber = "97m:65100", bibdate = "Fri Nov 13 07:00:34 MST 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/bit.bib", URL = "http://www.mai.liu.se/BIT/contents/bit37.html", acknowledgement = ack-nhfb, } @InCollection{Eikemo:1997:DDM, author = "Merete S. Eikemo and Magne S. Espedal", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Domain decomposition methods for a three dimensional extrusion model", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "469--476", year = "1997", MRclass = "65M55 (76M25)", MRnumber = "1943487", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Ersland:1997:DDM, author = "Brit Gunn Ersland and Magne S. Espedal", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "A domain decomposition method for heterogeneous reservoir flow", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "477--484", year = "1997", MRclass = "65M55 (76M25 76S05)", MRnumber = "1943488", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Fornasari:1997:DDT, author = "N. Fornasari and G. Gazzaniga and S. Rovida and G. Sacchi", title = "Domain Decomposition Techniques: Analysis of a Parallel Implementation on {HP-Convex} Exemplar Systems", journal = j-LECT-NOTES-COMP-SCI, volume = "1225", pages = "1000--??", year = "1997", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Fri Aug 22 11:59:49 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1997a.bib", acknowledgement = ack-nhfb, } @Article{Garbey:1997:HDD, author = "Marc Garbey and Hans G. Kaper", title = "Heterogeneous Domain Decomposition for Singularly Perturbed Elliptic Boundary Value Problems", journal = j-SIAM-J-NUMER-ANAL, volume = "34", number = "4", pages = "1513--1544", month = aug, year = "1997", CODEN = "SJNAAM", ISSN = "0036-1429 (print), 1095-7170 (electronic)", ISSN-L = "0036-1429", MRclass = "65N55 (35B25 35J99)", MRnumber = "98d:65158", MRreviewer = "Zheng Hui Xie", bibdate = "Fri Dec 4 13:36:09 MST 1998", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SINUM/34/4; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjnumeranal.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/28558", acknowledgement = ack-nhfb, } @Article{Germain:1997:HCS, author = "C. Germain and J. Laminie and M. Pallud and D. Etiemble", title = "An {HPF} Case Study of a Domain-Decomposition Based Irregular Application", journal = j-LECT-NOTES-COMP-SCI, volume = "1277", pages = "201--??", year = "1997", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Tue Dec 03 16:57:34 2002", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1997a.bib", acknowledgement = ack-nhfb, } @InCollection{Gu:1997:ECR, author = "Tongxiang Gu", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Estimates of convergence rate of parallel multisplitting iterative methods with their applications", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "259--266", year = "1997", MRclass = "65F10 (65N22 65N55)", MRnumber = "1943468", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Gu:1997:SRD, author = "Jinsheng Gu and Xiancheng Hu", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Some recent developments in domain decomposition methods with nonconforming finite elements", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "51--56", year = "1997", MRclass = "65N55 (65N30)", MRnumber = "1943446", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Haase:1997:HEO, author = "G. Haase", title = "Hierarchical extension operators plus smoothing in domain decomposition preconditioners", journal = j-APPL-NUM-MATH, volume = "23", number = "3", pages = "327--346", day = "25", month = apr, year = "1997", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N55 (65K10)", MRnumber = "1 445 128", bibdate = "Wed Jul 28 14:36:44 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1997&volume=23&issue=3; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", URL = "http://www.elsevier.com/cas/tree/store/apnum/sub/1997/23/3/752.pdf", acknowledgement = ack-nhfb, } @Article{Haase:1997:NMV, author = "G. Haase", title = "New Matrix-by-Vector Multiplications Based on a Nonoverlapping Domain Decomposition Data Distribution", journal = j-LECT-NOTES-COMP-SCI, volume = "1300", pages = "726--??", year = "1997", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Tue Apr 28 08:51:33 MDT 1998", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1997b.bib", acknowledgement = ack-nhfb, } @InCollection{He:1997:SDD, author = "Qiming He and Lishan Kang", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "{Schwarz} domain decomposition method for multidimensional and nonlinear evolution equations: subdomains have overlaps", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "57--64", year = "1997", MRclass = "65M55", MRnumber = "1943447", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Heckler:1997:PM, author = "Christian Heckler and Oliver Kluge and Torsten Metzner and Andreas Sorgatz and Paul Zimmermann", title = "Parallelism in {MuPAD}", journal = j-SIGSAM, volume = "31", number = "3", pages = "48--48", month = sep, year = "1997", CODEN = "SIGSBZ", DOI = "https://doi.org/10.1145/271130.271201", ISSN = "0163-5824 (print), 1557-9492 (electronic)", bibdate = "Fri Feb 8 18:27:05 MST 2002", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/mupad.bib", note = "Poster abstract only.", abstract = "SINGULAR is a computer algebra system designed to be a power-house for polynomial computations with special features for algebraic geometry and singularity theory.The development of SINGULAR started in 1986, motivated by the question of the existence of complete intersection singularities which are not quasi-homogeneous, but whose Poincare-complex is exact. The existence of such singularities could be shown in 1987 with an implementation of Mora's algorithm on an Atari in Modula-2 [11]. In 1990, SINGULAR was ported to Unix, and a first public-domain distribution followed. The code of SINGULAR was rewritten in C/C++. An interpreted user-level programming language and user-written libraries were added in 1993. With the release of version 1.0 in May 1997, many important features were added, including: (*) Polynomial factorization (*) Factorizing Buchberger algorithm (*) FGLM algorithm (*) Primary decomposition of ideals (*) MP links for general and efficient storage and inter-process communications. The goal of the poster is to discuss and demonstrate these new features of SINGULAR where, in combination with the posters on MP and MuPAD, special emphasize will be paid to SINGULAR's MP interface and its resulting possibilities and problems.", acknowledgement = ack-nhfb, issue = "122", } @Article{Heise:1997:PSN, author = "Bodo Heise and Michael Jung", title = "Parallel solvers for nonlinear elliptic problems based on domain decomposition ideas", journal = j-PARALLEL-COMPUTING, volume = "22", number = "11", pages = "1527--1544", day = "26", month = jan, year = "1997", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", bibdate = "Fri Aug 6 10:14:43 MDT 1999", bibsource = "Compendex database; http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1997&volume=22&issue=11; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1997&volume=22&issue=11&aid=1106", acknowledgement = ack-nhfb, affiliation = "Johannes Kepler Univ Linz", classification = "701.1; 701.2; 722.4; 723; 921.2; 921.6; B0290H (Linear algebra); B0290P (Differential equations); B0290T (Finite element analysis); C4140 (Linear algebra); C4170 (Differential equations); C4185 (Finite element analysis); C4240P (Parallel programming and algorithm theory); C4260 (Computational geometry)", corpsource = "Inst. f{\"u}r Math., Johannes Kepler Univ., Linz, Austria", journalabr = "Parallel Comput", keywords = "Boundary value problems; boundary value problems; boundary-value problems; Computer architecture; conjugate gradient methods; data structure; Data structures; decomposition; domain; Domain decomposition preconditioners; electromagnetic; Electromagnetic field effects; field problems; Finite element (fe) discretizations; finite element discretizations; Finite element method; generation; Global multigrid methods (gmg); Magnetic domains; mesh; Multiple instruction multiple data (mimd) architecture; nested; Nested Newton algorithm; Newton solver; Nonlinear elliptic problems; nonlinear elliptic problems; Nonlinear equations; Parallel algorithms; parallel algorithms; Parallel conjugate gradient methods; parallel conjugate gradient methods; Parallel processing systems; parallel solvers; Partial differential equations; Problem solving", treatment = "A Application; P Practical", } @Article{Hesthaven:1997:SPM, author = "J. S. Hesthaven", title = "A stable penalty method for the compressible {Navier--Stokes} equations. {II}. {One-dimensional} domain decomposition schemes", journal = j-SIAM-J-SCI-COMP, volume = "18", number = "3", pages = "658--685", month = may, year = "1997", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827594276540", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65Mxx (76Mxx 76N10); 65M12 (76M25 76N10)", MRnumber = "1 443 637; 97m:65155", bibdate = "Fri Dec 4 14:47:53 MST 1998", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/18/3; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/27654", acknowledgement = ack-nhfb, } @Article{Hodgson:1997:DDP, author = "D. C. Hodgson and P. K. Jimack", title = "A domain decomposition preconditioner for a parallel finite element solver on distributed unstructured grids", journal = j-PARALLEL-COMPUTING, volume = "23", number = "8", pages = "1157--1181", day = "25", month = jul, year = "1997", CODEN = "PACOEJ", ISSN = "0167-8191 (print), 1872-7336 (electronic)", bibdate = "Fri Aug 6 10:15:31 MDT 1999", bibsource = "Compendex database; http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_free/browse/browse.cgi?year=1997&volume=23&issue=8; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/parallelcomputing.bib", URL = "http://www.elsevier.com/cgi-bin/cas/tree/store/parco/cas_sub/browse/browse.cgi?year=1997&volume=23&issue=8&aid=1205", acknowledgement = ack-nhfb, affiliation = "Univ of Leeds", affiliationaddress = "Leeds, UK", classification = "722.1; 722.4; 723; 921.1; 921.2; 921.6", journalabr = "Parallel Comput", keywords = "Data storage equipment; Distributed unstructured grids; Domain decomposition preconditioner; Finite element method; Linear algebra; Parallel algorithms; Parallel processing systems; Partial differential equations; Problem solving", } @InCollection{Huang:1997:CIM, author = "Jianguo Huang", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Chaotic iterative methods by space decomposition and subspace correction", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "65--72", year = "1997", MRclass = "65J10 (37N30 65P20)", MRnumber = "1943448", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Jung:1997:PMG, author = "M. Jung", title = "On the parallelization of multi-grid methods using a non-overlapping domain decomposition data structure", journal = j-APPL-NUM-MATH, volume = "23", number = "1", pages = "119--137", day = "7", month = mar, year = "1997", CODEN = "ANMAEL", ISSN = "0168-9274 (print), 1873-5460 (electronic)", MRclass = "65N55", MRnumber = "97k:65283", bibdate = "Wed Jul 28 14:36:40 MDT 1999", bibsource = "http://www.elsevier.com/cgi-bin/cas/tree/store/apnum/cas_free/browse/browse.cgi?year=1997&volume=23&issue=1; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/applnummath.bib", note = "Multilevel methods (Oberwolfach, 1995).", URL = "http://www.elsevier.com/cas/tree/store/apnum/sub/1997/23/1/746.pdf", acknowledgement = ack-nhfb, } @InCollection{Kang:1997:CEM, author = "Kab Seok Kang and Do Young Kwak", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Convergence estimates for multigrid algorithms with {Kaczmarz} smoothing", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "227--232", year = "1997", MRclass = "65N22 (65N55)", MRnumber = "1943464", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Karageorghis:1997:CSD, author = "A. Karageorghis", title = "Conforming Spectral Domain Decomposition Schemes", journal = j-LECT-NOTES-COMP-SCI, volume = "1196", pages = "220--??", year = "1997", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", bibdate = "Fri Aug 22 11:59:49 MDT 1997", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/lncs1997a.bib", acknowledgement = ack-nhfb, } @InCollection{Kawarada:1997:VIN, author = "H. Kawarada and H. Fujita and H. Kawahara", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Variational inequalities for {Navier--Stokes} flows coupled with potential flow through porous media", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "403--410", year = "1997", MRclass = "76M25 (49J40 65K10 76S05)", MRnumber = "1943480", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @InCollection{Kornhuber:1997:AMM, author = "Ralf Kornhuber", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "Adaptive monotone multigrid methods for some non-smooth optimization problems", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "177--191", year = "1997", MRclass = "65K10 (65N55)", MRnumber = "1943459", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; MathSciNet database", acknowledgement = ack-nhfb, } @Article{Kushner:1997:DDM, author = "Harold J. Kushner", title = "Domain Decomposition Methods for Large {Markov} Chain Control Problems and Nonlinear Elliptic-Type Equations", journal = j-SIAM-J-SCI-COMP, volume = "18", number = "5", pages = "1494--1516", month = sep, year = "1997", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827594274656", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65Nxx (65Kxx 93Exx)", MRnumber = "1 465 669", bibdate = "Fri Dec 4 14:47:53 MST 1998", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SISC/18/5; http://www.math.utah.edu/pub/bibnet/subjects/domain-decomp.bib; http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib", URL = "http://epubs.siam.org/sam-bin/dbq/article/27465", acknowledgement = ack-nhfb, } @InCollection{Lai:1997:DDT, author = "C.-H. Lai and A. M. Cuffe and K. A. Pericleous", booktitle = "{Domain decomposition methods in sciences and engineering (Beijing, 1995)}", title = "A domain decomposition technique for viscous/inviscid coupling", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "485--492", year = "1997", MRclass = "65M55 (76M25)", MRnumber = "1943489", bibdate = "Mon Oct 11 08:42:11 2010", bibsource = "http://