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Widlund", TITLE = "Solving elliptic problems on regions partitioned into substructures", BOOKTITLE = "Elliptic Problem Solvers {II}", YEAR = 1984, EDITOR = "Garrett Birkhoff and Arthur Schoenstadt", PAGES = "245--256", PUBLISHER = "Academic Press", ADDRESS = "New York" } @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 = "SIAM J. Numer. Anal.", YEAR = 1986, VOLUME = 23, NUMBER = "6 ", PAGES = "1093--1120" } @ARTICLE{Bjorstad:1987:LSS, AUTHOR = "Petter E. Bj{\o}rstad", TITLE = "A large scale, sparse, secondary storage, direct linear equation solver for structural analysis and its implementation on vector and parallel architectures.", JOURNAL = "Journal on Parallel Computing", YEAR = 1987, VOLUME = 5 } @INPROCEEDINGS{Bjorstad:1988:IMS, AUTHOR = "Petter E. 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Comput.", YEAR = 1989, VOLUME = 10, NUMBER = 5, PAGES = "1053--1061" } @INPROCEEDINGS{Bjorstad:1990:PDI, AUTHOR = "Petter E. Bj{\o}rstad and Randi Moe and Morten Skogen", TITLE = "Parallel Domain Decomposition and Iterative Refinement Algorithms", EDITOR = "Wolfgang Hackbusch", BOOKTITLE = "Parallel Algorithms for PDEs, Proceedings of the 6th GAMM-Seminar held in Kiel, Germany, January 19--21, 1990", PUBLISHER = "Vieweg-Verlag", ADDRESS = "Braunschweig, Wiesbaden", YEAR = 1990 } @INPROCEEDINGS{Bjorstad:1991:PSM, AUTHOR = "Petter E. Bj{\o}rstad and Jon Br{\ae}khus and Anders Hvidsten", TITLE = "Parallel Substructuring Algorithms in Structural Analysis, Direct and Iterative Methods", BOOKTITLE = "Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", YEAR = 1991, EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard A. Meurant and Jacques P{\'e}riaux and Olof B. Widlund", PAGES = "321--340", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA", NOTE = "Proceedings from the fourth international symposium on domain decomposition, Moscow May 1990", URL = "http://www.ii.uib.no/~petter/reports/moscow_siam.ps.gz" } @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 = "BIT", PAGES = "76--88", VOLUME = 31, YEAR = 1991 } @INPROCEEDINGS{Bjorstad:1992:DAS, AUTHOR = "Petter E. Bj{\o}rstad and Morten Skogen", TITLE = "Domain Decomposition Algorithms of {S}chwarz Type, Designed for Massively Parallel Computers", EDITOR = "David E. Keyes and Tony F. Chan 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", PUBLISHER = "SIAM", YEAR = 1992, ADDRESS = "Philadelphia, PA", PAGES = "362--375" } @INPROCEEDINGS{Bjorstad:1994:DAO, AUTHOR = "Petter Bj{\o}stad", TITLE = "Domain Decomposition Applied to Oil Reservoir Simulation", BOOKTITLE = "Domain-Based Parallelism and Problem Decomposition Methods in Computational Science and Engineering", EDITOR = "D. Keyes and Y. Saad and D. Truhlar", YEAR = 1994, PUBLISHER = "SIAM", NOTE = "To appear." } @INPROCEEDINGS{Bjorstad:1996:DSS, AUTHOR = "Petter Bj{\o}rstad and Jon Br{\ae}khus and Jeremy Cook", TITLE = "Dynamic scheduling of substructure computations in an industrial production environment", BOOKTITLE = "Proceedings of the ninth domain decomposition conference", YEAR = 1996, EDITOR = "Petter Bjørstad and Magne Espedal and David Keyes" } @INPROCEEDINGS{Bjorstad:1996:PIS, AUTHOR = "Petter E. Bj{\o}rstad and Maksimilian Dryja and Eero Vainikko", TITLE = "Parallel implementation of a {S}chwarz Domain Decomposition Algorithm", BOOKTITLE = "Applied Parallel Computing in Industrial Problems and Optimization", YEAR = 1996, EDITOR = "Jerzy Wasniewski and Jack Dongarra and Kaj Madsen and Dorte Olesen", PUBLISHER = "Springer", MONTH = "December", NOTE = "Lecture Notes in Computer Science volume 1184", URL = "http://www.ii.uib.no/~petter/reports/para96.ps.gz" } @INPROCEEDINGS{Bjorstad:1997:ASM, AUTHOR = "Petter E. Bj{\o}rstad and Maksymilian Dryja and Eero Vainikko", TITLE = "Additive {S}chwarz Methods without Subdomain Overlap and with New Coarse Spaces", BOOKTITLE = "Domain Decomposition Methods in Sciences and Engineering", YEAR = 1997, EDITOR = "R. Glowinski and J. P\'{e}riaux and Z. Shi and O. B. 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Collino", TITLE = "Domain decomposition methods and integral equations for solving helmholtz diffraction problem.", BOOKTITLE = "Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation", YEAR = 2000, PAGES = "760-764", PUBLISHER = "SIAM", ADDRESS = "Philadelphia", MONTH = "july" } @ARTICLE{Boubendir:2001:EQD, AUTHOR = "Y. Boubendir and A. Bendali", TITLE = "Nonoverlapping domain decomposition method and boundary element method for solving Helmholtz equation", JOURNAL = "in preparation", YEAR = 2001 } @PHDTHESIS{Boubendir:2001:TDM, AUTHOR = "Yassine. Boubendir", TITLE = "Techniques de d\'ecomposition de domaine-Equations int\'egrales", SCHOOL = "UMR MIP INSA-CNRS-UPS and Cerfacs. Toulouse, France.", YEAR = 2001, ADDRESS = "Cerfacs, emc. 42, av G.coriolis. 31057 France." } @PHDTHESIS{Bounaim:1999:DDM, AUTHOR = "A{\"\i}cha Bounaim", TITLE = "Domain Decomposition Methods: Application to the Solution of Optimal Control Problems", SCHOOL = "Joseph Fourier University", YEAR = 1999, ADDRESS = "Grenoble, France", MONTH = "June", NOTE = "(in french)", URL = "ftp://ftp.imag.fr/pub/Mediatheque.IMAG/theses/1999/Bounaim.Aicha/these.dir/" } @INPROCEEDINGS{Bourdonnaye:1998:ANO, AUTHOR = "Armel de La Bourdonnaye and Charbel Farhat and Antonini Macedo and Fr{\'e}d{\'e}ric Magoul{\`e}s and Fran{\c{c}}ois-Xavier Roux", TITLE = "A non-overlapping domain decomposition method for exterior {H}elmholtz problems", BOOKTITLE = "Domain decomposition methods, 10 (Boulder, CO, 1997)", YEAR = 1998, PAGES = "42--66", PUBLISHER = "Amer. Math. 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Ladev{\`e}ze", TITLE = "Numerical experimentations of parallel strategies in structural non-linear analysis", YEAR = 1996, JOURNAL = "Calculateurs Parall{\`e}les", VOLUME = 8, NUMBER = 2, PAGES = "245--249" } @ARTICLE{Champaney:1997:LSA, AUTHOR = "L. Champaney and J.-Y. Cognard and D. Dureisseix and P. Ladev{\`e}ze", TITLE = "Large scale applications on parallel computers of a mixed domain decomposition method", JOURNAL = "Computational Mechanics", YEAR = 1997, NUMBER = 19, PAGES = "253--263" } @TECHREPORT{Chan:1985:DPS, AUTHOR = "Tony F. Chan and Diana C. Resasco", TITLE = "A domain-decomposed fast {P}oisson solver on a rectangle", INSTITUTION = "Yale University", YEAR = 1985, NUMBER = "{/DCS/RR-409}" } @TECHREPORT{Chan:1985:SPD, AUTHOR = "Tony F. Chan and Diana C. Resasco", TITLE = "A survey of preconditioners for domain decomposition", INSTITUTION = "Yale University", YEAR = 1985, NUMBER = "{/DCS/RR-414}" } @INPROCEEDINGS{Chan:1987:ADP, AUTHOR = "Tony F. Chan and Diana C. Resasco", TITLE = "Analysis of Domain Decomposition Preconditioners on Irregular Regions", BOOKTITLE = "Advances in Computer Methods for Partial Differential Equations", PUBLISHER = "IMACS", EDITOR = "R. Vichnevetsky and R. Stepleman", YEAR = 1987, PAGES = "317--322" } @ARTICLE{Chan:1987:APD, AUTHOR = "Tony F. Chan", TITLE = "Analysis of preconditioners for domain decomposition", JOURNAL = "SIAM J. Numer. Anal.", YEAR = 1987, VOLUME = 24, NUMBER = 2, PAGES = "382--390" } @TECHREPORT{Chan:1988:ADP, AUTHOR = "Tony F. Chan and Diana C. Resasco", TITLE = "An analysis of domain decomposition preconditioners on L-shaped and C-shaped regions", INSTITUTION = "Yale University", YEAR = 1988, NUMBER = "{/DCS/RR-534}" } @PROCEEDINGS{Chan:1989:DDM, TITLE = "Domain Decomposition Methods", EDITOR = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", YEAR = 1989, NOTE = "Proceedings of the {S}econd {I}nternational {S}ymposium on {D}omain {D}ecomposition {M}ethods, {L}os {A}ngeles, {C}alifornia, January 14 - 16, 1988.", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA" } @INPROCEEDINGS{Chan:1990:IPD, AUTHOR = "Tony F. Chan and David F. Keyes", TITLE = "Interface Preconditioning for Domain-Decomposed Convection-Diffusion Operators", YEAR = 1990, 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", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA", PAGES = "245--262" } @PROCEEDINGS{Chan:1990:TIS, TITLE = "Third International Symposium on Domain Decomposition Methods for Partial Differential Equations", EDITOR = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", YEAR = 1990, PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA" } @INPROCEEDINGS{Chan:1991:APT, AUTHOR = "Tony F. Chan and Tarek P. Mathew", TITLE = "An Application of the Probing Technique to the Vertex Space Method in Domain Decomposition", YEAR = 1991, BOOKTITLE = "Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard A. Meurant and Jacques P{\'e}riaux and Olof Widlund", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA", PAGES = "101--111" } @ARTICLE{Chan:1991:EDI, AUTHOR = "Tony F. Chan and Thomas Y. Hou", TITLE = "Eigendecomposition of Domain Decomposition Interface Operators for Constant Coefficient Elliptic Problems", JOURNAL = "SIAM J. Sci. Stat. Comput.", VOLUME = 12, YEAR = 1991, PAGES = "1471--1479" } @ARTICLE{Chan:1991:GRC, AUTHOR = "Tony Chan and Thomas Hou and Pierre L. Lions", TITLE = "Geometry Related Convergence Results for Domain Decomposition Algorithms", JOURNAL = "SIAM J. Numer. Anal.", VOLUME = 28, YEAR = 1991, PAGES = "378--391" } @ARTICLE{Chan:1992:IPT, AUTHOR = "Tony F. Chan and Tarek P. Mathew", TITLE = "The Interface Probing Technique in Domain Decomposition", NUMBER = 1, YEAR = 1992, VOLUME = 13, PAGES = "212--238", JOURNAL = "SIAM J. on Matrix Analysis and Applications" } @ARTICLE{Chan:1992:RON, AUTHOR = "Tony F. Chan and Danny Goovaerts", TITLE = "On the Relationship Between Overlapping and Nonoverlapping Domain Decomposition Methods", YEAR = 1992, JOURNAL = "SIAM J. Matrix Anal. Appl.", VOLUME = 13, PAGES = "663-670" } @ARTICLE{Chan:1994:ASD, AUTHOR = "Tony F. Chan and Jun Zou", TITLE = "Additive {S}chwarz Domain Decomposition Methods for Elliptic Problems on Unstructured Meshes", JOURNAL = "Numer. Algorithms", VOLUME = 8, NUMBER = "2--4", YEAR = 1994, PAGES = "329--346" } @INCOLLECTION{Chan:1994:DOA, AUTHOR = "Tony F. Chan and Tarek P. Mathew", TITLE = "Domain Decomposition Algorithms", PAGES = "61--143", BOOKTITLE = "Acta Numerica 1994", PUBLISHER = "Cambridge University Press", YEAR = 1994 } @INPROCEEDINGS{Chan:1994:DPC, AUTHOR = "Tony F. Chan and Tarek P. Mathew", TITLE = "Domain Decomposition Preconditioners for Convection Diffusion Problems", YEAR = 1994, pages = "157--175", BOOKTITLE = "Domain Decomposition Methods in Science and Engineering", EDITOR = "Alfio Quarteroni and Jacques P{\'e}riaux and Yuri A. Kuznetsov and Olof Widlund", PUBLISHER = "AMS", ADDRESS = "Providence, RI" } @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", YEAR = 1994, JOURNAL = "SIAM J. Sci. Comput.", NUMBER = 6, VOLUME = 15 } @ARTICLE{Chan:1994:OCG, AUTHOR = "Tony F. Chan and Jian-Ping Shao", TITLE = "Optimal Coarse Grid Size in Domain Decomposition", YEAR = 1994, JOURNAL = "J. Comp. Math.", VOLUME = "To appear" } @ARTICLE{Chan:1994:PCD, AUTHOR = "Tony F. 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DeVore", TITLE = "Nonlinear approximation", JOURNAL = "Acta Numerica", YEAR = 1998, VOLUME = 7, PAGES = "51--150" } @ARTICLE{Demirdzic:1993:FIN, AUTHOR = "I. Demirdzic and D. Martinovic", TITLE = "Finite volume method for thermo-elasto-plastic stress analysis", JOURNAL = "Computer Methods in Apllied Mechanics and Engineering", YEAR = 1993, VOLUME = 109, PAGES = "331--349" } @ARTICLE{Deng:1997:AND, AUTHOR = "Q. Deng", TITLE = "An Analysis for a Nonoverlapping Domain Decomposition Iterative Procedure", JOURNAL = "SIAM J. Sci. Comput.", YEAR = 1997, VOLUME = 18, PAGES = "1517--1525" } @PHDTHESIS{Dep:1991:MDD, AUTHOR = "B. Depr\'es", TITLE = "M\'ethodes de d\'ecomposition de domains pour les probl\`ems de propagation d'ondes en r\'egime harmonique", SCHOOL = "Universit\'e Paris IX Dauphine", YEAR = 1991 } @PHDTHESIS{Depres:1991:MDD, AUTHOR = "B. Depr\'{e}s", TITLE = "M\'{e}thodes de d\'{e}composition de domains pour les probl\`{e}ms de propagation d`ondes en r\'{e}gime harmonique", SCHOOL = "Universit\'{e} Paris IX Dauphine", YEAR = 1991 } @PHDTHESIS{Despres:1991:MDD, AUTHOR = "B. 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}gimes harmoniques", SCHOOL = "Paris IX", YEAR = 1991 } @PHDTHESIS{Despres:1991:THE, AUTHOR = "B. Despr\'{e}s", TITLE = "M\'{e}thodes de d\'{e}composition de demains pour les probl\`{e}ms de propagation d`ondes en r\'{e}gime harmonique", SCHOOL = "Universit\'e Paris IX Dauphine", YEAR = 1991 } @INPROCEEDINGS{Despres:1992:ADD, AUTHOR = "Bruno Despr{\'e}s and Patrick Joly and Jean E. Roberts", TITLE = "A domain decomposition method for the harmonic {M}axwell equations", BOOKTITLE = "Iterative methods in linear algebra (Brussels, 1991)", YEAR = 1992, PAGES = "475--484", PUBLISHER = "North-Holland", ADDRESS = "Amsterdam" } @INPROCEEDINGS{Despres:1993:DDM, AUTHOR = "Bruno Despr{\'e}s", TITLE = "Domain decomposition method and the {H}elmholtz problem.{I}{I}", BOOKTITLE = "Second International Conference on Mathematical and Numerical Aspects of Wave Propagation (Newark, DE, 1993)", YEAR = 1993, PAGES = "197--206", PUBLISHER = "{SIAM}", ADDRESS = "Philadelphia, PA" } @ARTICLE{Deville:1990:FEP, AUTHOR = "M. O. Deville and E. H. Mund", TITLE = "Finite-Element Preconditioning for Pseudospectral Solutions of Elliptic Problems", YEAR = 1990, JOURNAL = "Siam J. Sci. Stat. Comput.", VOLUME = 11, PAGES = "311 -- 342", NUMBER = 2, MONTH = "March" } @INPROCEEDINGS{Dihn:1984:SEP, AUTHOR = "Q. V. 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Djambazov", TITLE = "Development of a Domain Decomposition Method for Computational Aeroacoustics", BOOKTITLE = "Domain Decomposition Methods in Science and Engineering", YEAR = 1997, EDITOR = "Petter E. Bj{\o}rstad and Magne S. Espedal and David E. Keyes", PUBLISHER = "John Wiley \& Sons", NOTE = "Proceedings from the Ninth International Conference, June 1996, Bergen, Norway" } @INPROCEEDINGS{Djambazov:1998:ECA, AUTHOR = "Djambazov, G. S. and Lai, C.-H. and Pericleous, K. A.", TITLE = "Efficient Computation of Aerodynamic Noise", BOOKTITLE = "Tenth International Conference on Domain Decomposition Methods", YEAR = 1998, EDITOR = "J. Mandel and C. Farhat and X.-C. Cai", PAGES = "506--512", PUBLISHER = "AMS, Contemporary Mathematics 218" } @PHDTHESIS{Djambazov:1998:NTC, AUTHOR = "Georgi S. Djambazov", TITLE = "Numerical Techniques for Computational Aeroacoustics", SCHOOL = "Computing and Mathematical Sciences, University of Greenwich", YEAR = 1998, ADDRESS = "30 Park Row, Greenwich, London SE10 9LS, United Kingdom", MONTH = "September", URL = "http://www.gre.ac.uk/~dg06/" } @INPROCEEDINGS{Djambazov:1999:DDD, AUTHOR = "Djambazov, G. and Lai, C.-H. and Pericleous, K.", TITLE = "Development of a Domain Decomposition Method for Computational Aeroacoustics", BOOKTITLE = "Domain Decomposition Methods in Science and Engineering", YEAR = 1997, EDITOR = "Petter E. Bj{\o}rstad and Magne S. Espedal and David E. Keyes", PUBLISHER = "John Wiley \& Sons", NOTE = "Proceedings from the Ninth International Conference, June 1996, Bergen, Norway" } @TECHREPORT{Dolean:1999:DDE, AUTHOR = "Victorita Dolean and Stephane Lanteri", TITLE = "A domain decomposition approach to finite volume solutions of the {E}uler equations on triangular meshes", INSTITUTION = "INRIA", YEAR = 1999, NUMBER = 3751, MONTH = "oct", URL = "http://www.inria.fr/RRRT/RR-3751.html" } @TECHREPORT{Dolean:2000:DDE, AUTHOR = "Victorita Dolean and Stephane Lanteri and Frederic Nataf", TITLE = "Convergence analysis of a {S}chwarz type domain decomposition method for the solution of the {E}uler equations", INSTITUTION = "INRIA", YEAR = 2000, NUMBER = 3916, MONTH = "aopr", URL = "http://www.inria.fr/RRRT/RR-3916.html" } @PHDTHESIS{Dolean:2001:DDE, AUTHOR = "Victorita Dolean", TITLE = "Algorithmes par d{\'e}composition de domaine et acc{\'e}l{\'e}ration multigrille pour le calcul d'{\'e}coulements compressibles", SCHOOL = "Universit{\'e} de Nice-Sophia Antipolis", YEAR = 2001 } @PHDTHESIS{Donato:1991:IMS, AUTHOR = "June M. 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Donoho", TITLE = "Curvelets: A Surprisingly Effective Nonadaptive Representation of Objects with Edges", INSTITUTION = "Department of Statistics, Stanford University", YEAR = 1999 } @ARTICLE{Douglas-Sheen:1999:NGM, AUTHOR = "J. {Douglas~Jr.} and J. E. Santos and D. Sheen and X. Ye", TITLE = "Nonconforming {G}alerkin Methods Based on Quadrilateral Elements for Second Order Elliptic Problems", JOURNAL = "Mathematical Modelling and Numerical Analysis M$^2$AN", YEAR = 1999, VOLUME = 33, PAGES = "747--770" } @INPROCEEDINGS{Douglas:1971:ADG, AUTHOR = "J. Douglas Jr. and T. Dupont", TITLE = "Alternating-Direction {G}alerkin Methods on Rectangles", BOOKTITLE = "Proceedings Symposium on Numerical Solution of Partial Differential Equations, II.", YEAR = 1971, EDITOR = "B. Hubbard", PAGES = "133--164", PUBLISHER = "Academic Press", ADDRESS = "New York" } @ARTICLE{Douglas:1982:NMF, AUTHOR = "Jim Douglas Jr. and Thomas F. 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Roberts", TITLE = "Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media", JOURNAL = "Mathematics of Computation", YEAR = 1983, VOLUME = 41, NUMBER = 164, PAGES = "441--459", MONTH = "October" } @ARTICLE{Douglas:1993:PIM, AUTHOR = "J. {Douglas, Jr.} and P. L {Paes Leme} and J. E. Roberts and J. Wang", TITLE = "A parallel iterative procedure applicable to the approxiamte solution of second order partial differential equations by mixed finite element methods", JOURNAL = "Numer. Math.", YEAR = 1993, VOLUME = 65, PAGES = "95--108" } @ARTICLE{Douglas:1993:PIP, AUTHOR = "J. Jr. Douglas and P. L. Paes Leme and J. E. Roberts and J. Wang", TITLE = "A", JOURNAL = "Numer. Math.", YEAR = 1993, VOLUME = 65, PAGES = "95--108" } @ARTICLE{Douglas:1993:PIP, AUTHOR = "J. Jr. Douglas and P. L. Paes Leme and J. E. Roberts and J. Wang", TITLE = "A parallel iterative procedure applicable to the approximate solution of second order partial differential equations by mixed finite element methods", JOURNAL = "Numer. Math.", YEAR = 1993, VOLUME = 65, PAGES = "95--108" } @UNPUBLISHED{Douglas:1997:NCM, AUTHOR = "J. {Douglas, Jr.} and J. E. Santos and D. Sheen", TITLE = "A nonconforming mixed finite element method for {M}axwell's equations", NOTE = "to appear in Math. Models Meth. Appl. Sci.", YEAR = 1997, URL = "http://www.math.snu.ac.kr/~sheen" } @INPROCEEDINGS{Douglas:1997:SOC, AUTHOR = "J. {Douglas, Jr.} and D. B. Meade", TITLE = "Second-order transmission conditions for the {H}elmholtz equation", BOOKTITLE = "Ninth International Conference on Domain Decomposition Methods", YEAR = 1997, EDITOR = "P. E. Bj{\o}rstad and M. Espedal and D. Keyes", PAGES = "434--440", PUBLISHER = "ddm.org" } @BOOK{Douglas:1997:STC, AUTHOR = "J. {Douglas~Jr.} and D. B. Meade", TITLE = "Second-order transmission conditions for the {H}elmholtz equation", PUBLISHER = "ddm.org", YEAR = 1997 } @ARTICLE{Douglas:1999:NCG, AUTHOR = "J. {Douglas, Jr.} and J. E. Santos and D. Sheen and X. Ye", TITLE = "Nonconforming {G}alerkin methods based on quadrilateral elements for second order elliptic problems", JOURNAL = "Mathematical Modelling and Numerical Analysis, M$^2$AN", YEAR = 1999, VOLUME = 33, PAGES = "747--770" } @ARTICLE{Douglas:1999:NGM, AUTHOR = "J. Jr. Douglas and J. E. Santos and D. Sheen", TITLE = "Nonconforming {G}alerkin Methods Based on Quadrilateral Elements for Second Order Elliptic Problems", JOURNAL = "RAIRO Anal. Numer.", YEAR = 1999, VOLUME = 33, PAGES = "747--770" } @ARTICLE{Douglas:2000:NGM, AUTHOR = "J. Douglas Jr., J. E. Santos and D. Sheen", TITLE = "Nonconforming {G}alerkin methods for the {H}elmholtz equation and a hybridized domain decomposition procedure", JOURNAL = "to appear", YEAR = 2000 } @ARTICLE{Douglas:2000:NMF, AUTHOR = "J. Douglas Jr, J. E. Santos and D. Sheen", TITLE = "A nonconforming mixed finite element methods for {M}axwell's equation", JOURNAL = "Math. Models Meth. Appl. Sci.", YEAR = 2000 } @ARTICLE{Draghicescu:1994:EIP, AUTHOR = "C. I. Draghicescu", TITLE = "An efficient implementation of particle methods for the incompressible euler equations", JOURNAL = "SIAM J. Numer. Anal.", YEAR = 1994, VOLUME = 31, NUMBER = 6, PAGES = "1090--1108" } @BOOK{Drazin:1981:HDS, AUTHOR = "P. Drazin and W. Reid", TITLE = "Hydrodynamic Stability", PUBLISHER = "Cambridge University Press", YEAR = 1981, SERIES = "Cambridge Monographs on Mechanics and Applied Mathematics" } @INPROCEEDINGS{Dryja:1981:ACM, AUTHOR = "Maksymilian Dryja", TITLE = "An Algorithm with a Capacitance Matrix for a Variational-Difference Scheme", BOOKTITLE = "{V}ariational-{D}ifference {M}ethods in {M}athematical {P}hysics", YEAR = 1981, PAGES = "63--73", EDITOR = "G. I. 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Widlund", TITLE = "An Additive Variant of the {S}chwarz Alternating Method for the Case of Many Subregions", INSTITUTION = "Department of Computer Science, Courant Institute", YEAR = 1987, NUMBER = "339, also Ultracomputer Note 131" } @INPROCEEDINGS{Dryja:1988:MD3, AUTHOR = "Maksymilian Dryja", TITLE = "A Method of Domain Decomposition for 3-{D} Finite Element Problems", BOOKTITLE = "{F}irst {I}nternational {S}ymposium on {D}omain {D}ecomposition {M}ethods for {P}artial {D}ifferential {E}quations", YEAR = 1988, EDITOR = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and Jacques P{\'e}riaux", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA", PAGES = "43--61" } @INPROCEEDINGS{Dryja:1989:ASA, AUTHOR = "Maksymilian Dryja", TITLE = "An Additive {S}chwarz Algorithm for Two- and Three-Dimensional Finite Element Elliptic Problems", BOOKTITLE = "Domain Decomposition Methods", YEAR = 1989, EDITOR = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA", PAGES = "168--172" } @INPROCEEDINGS{Dryja:1989:DAE, AUTHOR = "Maksymilian Dryja and Olof B. Widlund", TITLE = "Some Domain Decomposition Algorithms for Elliptic Problems", BOOKTITLE = "Iterative Methods for Large Linear Systems", PUBLISHER = "Academic Press", ADDRESS = "San Diego, California", EDITOR = "Linda Hayes and David Kincaid", PAGES = "273--291", YEAR = 1989, NOTE = "Proceeding of the Conference on Iterative Methods for Large Linear Systems held in {A}ustin, Texas, October 19 - 21, 1988, to celebrate the sixty-fifth birthday of {D}avid {M}. {Y}oung, {J}r." } @INPROCEEDINGS{Dryja:1989:OAI, AUTHOR = "Maksymilian Dryja and Olof B. Widlund", TITLE = "On the Optimality of an Additive Iterative Refinement Method", BOOKTITLE = "Proceedings of the {F}ourth {C}opper {M}ountain {C}onference on {M}ultigrid {M}ethods", YEAR = 1989, PAGES = "161--170", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA" } @INPROCEEDINGS{Dryja:1990:TUT, AUTHOR = "Maksymilian Dryja and Olof B. Widlund", TITLE = "Towards a Unified Theory of Domain Decomposition Algorithms for Elliptic Problems", YEAR = 1990, 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", PUBLISHER = "SIAM, Philadelphia, PA", PAGES = "3--21" } @INPROCEEDINGS{Dryja:1991:MAM, AUTHOR = "Maksymilian Dryja and Olof B. Widlund", TITLE = "Multilevel Additive Methods for Elliptic Finite Element Problems", EDITOR = "Wolfgang Hackbusch", BOOKTITLE = "Parallel Algorithms for Partial Differential Equations, Proceedings of the Sixth GAMM-Seminar, Kiel, January 19--21, 1990", PAGES = "58--69", PUBLISHER = "Vieweg \& Son", ADDRESS = "Braunschweig, Germany", YEAR = 1991 } @INPROCEEDINGS{Dryja:1991:SMP, AUTHOR = "Maksymilian Dryja", TITLE = "Substructuring Methods for Parabolic Problems", YEAR = 1991, BOOKTITLE = "Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard A. Meurant and Jacques P{\'e}riaux and Olof Widlund", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA" } @INPROCEEDINGS{Dryja:1992:ASM, AUTHOR = "Maksymilian Dryja and Olof B. Widlund", TITLE = "Additive {S}chwarz Methods for Elliptic Finite Element Problems in Three Dimensions", BOOKTITLE = "Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations", EDITOR = "David E. Keyes and Tony F. Chan and G{\'e}rard A. Meurant and Jeffrey S. Scroggs and Robert G. Voigt", YEAR = 1992, PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA", PAGES = "3--18" } @ARTICLE{Dryja:1994:DAS, AUTHOR = "Maksymilian Dryja and Olof B. Widlund", TITLE = "Domain Decomposition Algorithms with Small Overlap", JOURNAL = "SIAM J. Sci.Comput.", YEAR = 1994, MONTH = "May", VOLUME = 15, PAGES = "604--620", NUMBER = 3 } @INPROCEEDINGS{Dryja:1994:DMS, AUTHOR = "Maksymilian Dryja and Olof B. Widlund", TITLE = "Some Recent Results on {S}chwarz Type Domain Decomposition Algorithms", BOOKTITLE = "Domain Decomposition Methods in Science and Engineering: The Sixth International Conference on Domain Decomposition", NOTE = "Held in Como, Italy, June 15--19,1992", VOLUME = 157, EDITOR = "Alfio Quarteroni and Yuri A. Kuznetsov and Jacques P{\'e}riaux and Olof B. Widlund", YEAR = 1994, SERIES = "Contemporary Mathematics", PUBLISHER = "AMS", PAGES = "53--62" } @INPROCEEDINGS{Dryja:1994:MME, AUTHOR = "Maksymilian Dryja", TITLE = "Multilevel Methods for Elliptic Problems with Discontinuous Coefficients in Three Dimensions", BOOKTITLE = "Seventh International Conference of Domain Decomposition Methods in Scientific and Engineering Computing", EDITOR = "David E. Keyes and Jinchao Xu", YEAR = 1994, PUBLISHER = "AMS", SERIES = "Contemporary Mathematics", VOLUME = 180, PAGES = "43--47", NOTE = "Held at Penn State University, October 27-30, 1993." } @ARTICLE{Dryja:1994:SAI, AUTHOR = "Maksymilian Dryja and Barry F. Smith and Olof B. Widlund", TITLE = "{S}chwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions", MONTH = "December", YEAR = 1994, PAGES = "1662--1694", VOLUME = 31, NUMBER = 6, JOURNAL = "SIAM J. Numer. Anal." } @ARTICLE{Dryja:1995:SMN, AUTHOR = "Maksymilian Dryja and Olof B. Widlund", TITLE = "{S}chwarz Methods of {N}eumann-{N}eumann Type for Three-Dimensional Elliptic Finite Element Problems", YEAR = 1995, MONTH = "February", JOURNAL = "Comm. Pure Appl. 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Hackbusch", TITLE = "On the nonlinear domain decomposition method", JOURNAL = "BIT", YEAR = 1997, PAGES = "296--311" } @PHDTHESIS{Dubach:1993:CRE, AUTHOR = "Eric Dubach", TITLE = "Contribution a la Resolution des Equations fluides en domaine non borne", SCHOOL = "Universite Paris 13", YEAR = 1993, MONTH = "fevrier" } @INPROCEEDINGS{Dureisseix:1996:PML, AUTHOR = "D. Dureisseix and P. Ladev{\`e}ze", TITLE = "Parallel and multi-level strategies for structural analysis", BOOKTITLE = "Proceedings of the Second European Conference on Numerical Methods in Engineering", YEAR = 1996, EDITOR = "J.-A. Desideri", PAGES = "599--604", ORGANIZATION = "ECCOMAS", PUBLISHER = "Wiley", ADDRESS = "Paris", MONTH = "September" } @PHDTHESIS{Dureisseix:1997:AME, AUTHOR = "D. 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Meurant and Jacques P{\'e}riaux", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA" } @PROCEEDINGS{Glowinski:1988:DMP, TITLE = "Domain Decomposition Methods for Partial Differential Equations", EDITOR = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and Jacques P{\'e}riaux", YEAR = 1988, NOTE = "Proceedings of the {F}irst {I}nternational {S}ymposium on {D}omain {D}ecomposition {M}ethods for {P}artial {D}ifferential {E}quations, Paris, France, January 1987.", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA" } @INPROCEEDINGS{Glowinski:1989:ALS, AUTHOR = "Glowinski, R. and Le Tallec, P.", TITLE = "Augmented Lagrangian and Operator Splitting Methods in Nonlinear Mechanics", BOOKTITLE = "Proc. 2nd International Symposium on Domain Decomposition Methods", YEAR = 1989, EDITOR = "T.~F.~Chan and R.~Glowinski and J.~P{\'e}riaux and O.~B.~Widlund", PUBLISHER = "SIAM", ADDRESS = "Philadelphia" } @INPROCEEDINGS{Glowinski:1990:ADA, AUTHOR = "R. Glowinski and W. Kinton and M. F. 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Patera", TITLE = "Spectral Element Methods for the {N}avier-{S}tokes Equations", BOOKTITLE = "State of the Art Surveys in Computational Mechanics", YEAR = 1989, EDITOR = "A.K. Noor and J.T. Oden", PUBLISHER = "ASME", ADDRESS = "New York" } @ARTICLE{Maday:1993:AIM, AUTHOR = "Yvon Maday and Dan Meiron and Anthony T.\ Patera and Einar M.\ R{\o}nquist", TITLE = "Analysis of Iterative Methods for the Steady and Unsteady {S}tokes Problem: Application to Spectral Element Discretizations", JOURNAL = "SIAM J. Sci. Comp.", VOLUME = 14, NUMBER = 2, YEAR = 1993, PAGES = "310--337" } @TECHREPORT{Maday:1996:ISM, AUTHOR = "Yvon Maday and Olof B. Widlund", TITLE = "Some Iterative Substructuring Methods for Mortar Finite Elements: The Lower Order Case", INSTITUTION = "Courant Institute of Mathematical Sciences", YEAR = 1996, NOTE = "In preparation." } @ARTICLE{Maday:1999:GFA, AUTHOR = "Y. Maday and A.T. Patera and J. Peraire", TITLE = "A general formulation for {\sl a {P}osteriori} bounds for output functionals of partial differential equations; application to the eigenvalue problem", JOURNAL = "C.R. Acad. Sci. I-Math.", YEAR = 1999, VOLUME = 328, NUMBER = 9, PAGES = "823-828" } @ARTICLE{Maday:2000:BRB, AUTHOR = "Y. Maday and A. T. Patera and D. V. Rovas", TITLE = "A Blackbox reduced-basis output bound method for noncoercive linear problems", JOURNAL = "College de France Series; also MIT-FML Report 00-2-1", YEAR = 2000 } @BOOK{Mallat:1998:WTS, AUTHOR = "S. Mallat", TITLE = "A Wavelet Tour of Signal Processing", PUBLISHER = "Academic Press", YEAR = 1998 } @UNPUBLISHED{Mallat:2000:BDL, AUTHOR = "S. Mallat", TITLE = "Geometrical Image Representations with Bandelets", MONTH = "Oct.", YEAR = 2000, NOTE = "The talk at the IMA Workshop on Image Processing and Low Level Vision, held at Minneapolis, Minnesota, Oct 16-20, 2000" } @ARTICLE{Mande:1990:BDS, AUTHOR = "Jan Mandel", TITLE = "On Block Diagonal and {S}chur Complement Preconditioning", JOURNAL = "Numer. Math.", VOLUME = 58, YEAR = 1990, PAGES = "79--93" } @TECHREPORT{Mandel:1989:EDP, AUTHOR = "Jan Mandel", TITLE = "Efficient Domain Decomposition Preconditioning for the p-version Finite Element Method in Three Dimensions", YEAR = 1989, INSTITUTION = "Computational Mathematics Group, University of Colorado at Denver"} @INPROCEEDINGS{Mandel:1989:ISEa, AUTHOR = "Jan Mandel and Steve McCormick", TITLE = "Iterative Solution of Elliptic Equations with Refinement: {T}he Two-Level Case", BOOKTITLE = "Domain Decomposition Methods", YEAR = 1989, EDITOR = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA" } @INPROCEEDINGS{Mandel:1989:ISEb, AUTHOR = "Jan Mandel and Steve McCormick", TITLE = "Iterative Solution of Elliptic Equations with Refinement: The Model Multi-Level Case", BOOKTITLE = "Domain Decomposition Methods", YEAR = 1989, EDITOR = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA" } @INPROCEEDINGS{Mandel:1990:HPP, AUTHOR = "Jan Mandel", TITLE = "Hierarchical preconditioning and partial orthogonalization for the p-version finite element method", BOOKTITLE = "Third International Symposium on Domain Decomposition Methods for Partial Differential Equations", EDITOR = "Tony F. Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", YEAR = 1990, PUBLISHER = "SIAM", NOTE = "Held in Houston, Texas, March 20-22, 1989.", ADDRESS = "Philadelphia, PA" } @ARTICLE{Mandel:1990:ISS, AUTHOR = "Jan Mandel", TITLE = "Iterative solvers by substructuring for the p-version finite element method", JOURNAL = "Comp. Methods Appl. Mech. Eng.", VOLUME = 80, YEAR = 1990, PAGES = "117--128" } @ARTICLE{Mandel:1990:TDP, AUTHOR = "Jan Mandel", TITLE = "Two-level domain decomposition preconditioning for the p-version finite element version in three dimensions", JOURNAL = "Int. J. Numer. Meth. Eng.", VOLUME = 29, PAGES = "1095--1108", YEAR = 1990 } @ARTICLE{Mandel:1991:DPP, AUTHOR = "Jan Mandel and G. Scott Lett", TITLE = "Domain Decomposition Preconditioning for p-version Finite Elements with High Aspect Ratios", VOLUME = 8, PAGES = "411--425", YEAR = 1991, JOURNAL = "Applied Numerical Analysis" } @unpublished{Mandel:1992:BDM, AUTHOR = "Lawrence Cowsar and Jan Mandel and Mary F. Wheeler", TITLE = "Balancing Domain Decomposition for Mixed Problems in Oil Reservoir Simulation", NOTE = "Presented at the 6th International Symposium on Domain Decomposition Methods, Como, Italy, 1992" } @ARTICLE{Mandel:1993:BDD, AUTHOR = "Jan Mandel", TITLE = "Balancing Domain Decomposition", JOURNAL = "Comm. Numer. Meth. Engrg.", VOLUME = 9, YEAR = 1993, PAGES = "233--241" } @TECHREPORT{Mandel:1993:BDT, AUTHOR = "Jan Mandel and Marian Brezina", TITLE = "Balancing Domain Decomposition: Theory and Computations in Two and Three Dimensions", INSTITUTION = "Center for Computational Mathematics, University of Colorado at Denver", YEAR = 1993, NUMBER = "UCD/CCM 2" } @INPROCEEDINGS{Mandel:1993:IBI, AUTHOR = "Jan Mandel", TITLE = "Intelligent Block Iterative Methods", BOOKTITLE = "Proceedings of the 7th World Congress on Finite Elements, Monte Carlo, November 1993", EDITOR = "J. Robinson", YEAR = 1993, PAGES = "471--477", ISBN = "0 9507172 8 2", PUBLISHER = "Robinson Associates, Ltd., Okehampton, Devon EX20 4NT, England" } @INCOLLECTION{Mandel:1993:SLS, AUTHOR = "Jan Mandel", BOOKTITLE = "Solving Large Scale Problems in Mechanics. The Development and Application of Computational Solution Methods", EDITOR = "M. Papadrakakis", TITLE = "Adaptive Iterative Solvers in Finite Elements", YEAR = 1993, ADDRESS = "London", PUBLISHER = "John Wiley {\&} Sons", PAGES = "65--88" } @unpublished{Mandel:1994:BDP, AUTHOR = "Jan Mandel and Marian Brezina", TITLE = "Balancing Domain Decomposition for Problems with Large Jumps in Coefficients", YEAR = 1994, FILENAME = "balance-j.ps", NOTE = "Math. Comp., to appear" } @INPROCEEDINGS{Mandel:1994:HDU, AUTHOR = "Jan Mandel", TITLE = "Hybrid Domain Decomposition with Unstructured Subdomains", BOOKTITLE = "Domain Decomposition Methods in Science and Engineering: The Sixth International Conference on Domain Decomposition", EDITOR = "Alfio Quarteroni and Yuri A. Kuznetsov and Jacques P{\'e}riaux and Olof B. Widlund", YEAR = 1994, PUBLISHER = "AMS", SERIES = "Contemporary Mathematics", VOLUME = 157, NOTE = "Held in Como, Italy, June 15--19,1992.", PAGES = "103--112" } @ARTICLE{Mandel:1994:ISP, AUTHOR = "Jan Mandel", TITLE = "Iterative Solvers for p-Version Finite Element Method in Three Dimensions", NOTE = "Proceedings of ICOSAHOM 92, a conference held in Montpellier, France, June 1992.", JOURNAL = "Comput. Methods Appl. Mech. Engrg", YEAR = 1994, PAGES = "175--183", VOLUME = 116 } @ARTICLE{Mandel:1996:BDD, AUTHOR = "J. Mandel and M. Bresina", TITLE = "Balancing Domain Decomposition for Problems with Large Jumps in Coefficients", JOURNAL = "Math.Comp.", YEAR = 1996, VOLUME = 65, NUMBER = 216, PAGES = "1387-1401" } @ARTICLE{Mandel:1996:BDP, AUTHOR = "Jan Mandel and Marian Brezina", TITLE = "Balancing {D}omain {D}ecomposition for {P}roblems with {L}arge {J}umps in {C}oefficients", JOURNAL = "Math.\ Comp.", VOLUME = 65, PAGES = "1387--1401", YEAR = 1996 } @ARTICLE{Mandel:1996:CSM, AUTHOR = "Jan Mandel and Radek Tezaur", TITLE = "Convergence of a {S}ubstructuring {M}ethod with {L}agrange {M}ultipliers", JOURNAL = "Numer.\ Math.", VOLUME = 73, PAGES = "473--487", YEAR = 1996 } @PROCEEDINGS{Mandel:1998:DDM, TITLE = "Domain Decomposition Methods 10 - The tenth International Conference on Domain Decomposition Methods", YEAR = 1998, EDITOR = "Jan L. Mandel", PUBLISHER = "AMS", ADDRESS = "Providence, RI", NOTE = "Proceedings of the tenth International Conference on Domain Decomposition Methods , August 10-14, 1997, Boulder, Colorado, U. S. A." } @ARTICLE{Mandel:1999:SSM, AUTHOR = "Jan Mandel and Radek Tezaur and Charbel Farhat", TITLE = "A {S}calable {S}ubstructuring {M}ethod by {L}agrange {M}ultipliers for {P}late {B}ending {P}roblems", YEAR = 1999, JOURNAL = "SIAM J.\ Numer.\ Anal.", VOLUME = 36, NUMBER = 5, PAGES = "1370--1391" } @TECHREPORT{Mandel:2000:CDP, AUTHOR = "Jan Mandel and Radek Tezaur", TITLE = "On the Convergence of a Dual-Primal Substructuring Method", INSTITUTION = "University of Colorado at Denver, Department of Mathematics", YEAR = 2000, MONTH = "January", NOTE = "To appear in Numer. Math. {\tt URL: http://www-math.cudenver.edu/~jmandel/papers/dp.ps.gz}" } @ARTICLE{Marchuk:1986:FDD, AUTHOR = "G. I. Marchuk and Y. A. Kuznetsov and A. M. 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Report RW99-13", NUMBER = 61, ADDRESS = "Warsaw", MONTH = "October", URL = "http://www.mimuw.edu.pl/~lmarcin/index.html" } @PHDTHESIS{Marcinkowski:1999:MMS, AUTHOR = "Leszek Marcinkowski", TITLE = "Mortar Methods for some Second and Fourth Order Elliptic Equations", SCHOOL = "Department of Mathematics, Warsaw University", YEAR = 1999, MONTH = "January", URL = "http://www.mimuw.edu.pl/~lmarcin/index.html" } @ARTICLE{Marini:1989:RPD, AUTHOR = "Luisa D. Marini and Alfio Quarteroni", TITLE = "A relaxation procedure for domain decomposition methods using finite elements.", JOURNAL = "Numer. Math", YEAR = 1989, NUMBER = 5, PAGES = "575-598" } @MISC{Martin:1997:Doc, AUTHOR = "D. Martin", TITLE = "Documentation {MELINA}", YEAR = 1997, URL = "http://www.math.univ-rennes1.fr/~dmartin/melina/hompage.html" } @ARTICLE{Masmoudi:1987:NSE, AUTHOR = "M. Masmoudi", TITLE = "Numerical solution for exterior problems", JOURNAL = "Numer. 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Nakashima", TITLE = "Numerical computation of elliptic partial differential equations {I}, Method of lines", JOURNAL = "Memoirs of the school of science and engineering, Waseda Univ.", YEAR = 1965 } @TECHREPORT{Nataf:1994:OIC, AUTHOR = "Fr\'ed\'eric Nataf and Francois Rogier and Eric de Sturler", TITLE = "Optimal Interface Conditions for Domain Decomposition Methods", INSTITUTION = "CMAP (Ecole Polytechnique)", YEAR = 1994 } @ARTICLE{Nataf:1995:DDM, AUTHOR = "Fr\'ed\'eric Nataf and Francois Rogier and Eric de Sturler", TITLE = "Domain Decomposition Methods for Fluid Dynamics, {N}avier-{S}tokes Equations and Related Nonlinear Analysis", JOURNAL = "Edited by A. Sequeira, Plenum Press Corporation", YEAR = 1995, PAGES = "367-376" } @ARTICLE{Nataf:1995:FCD, AUTHOR = "Fr\'eder\'ic Nataf and Francois Rogier", TITLE = "Factorization of the Convection-Diffusion Operator and the {S}chwarz Algorithm", JOURNAL = "$M^3AS$", YEAR = 1995, VOLUME = 5, NUMBER = 1, PAGES = "67--93" } @ARTICLE{Nataf:1997:CRO, AUTHOR = "Fr\'ed\'eric Nataf and Francis Nier", TITLE = "Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains", JOURNAL = "Numerische Mathematik", YEAR = 1997, VOLUME = 75, NUMBER = 3, PAGES = "357--77" } @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", PUBLISHER = "Academia", YEAR = 1967, ADDRESS = "Prague" } @BOOK{Necas:1980:MTE, AUTHOR = "Jindrich Necas and Ivan Hlav{\'a}cek", TITLE = "Mathematical theory of elastic and elasto-plastic bodies: an introduction", PUBLISHER = "Elsevier Scientific Publishing Co.", YEAR = 1980 } @ARTICLE{Nedelec:1980:MFE, AUTHOR = "J.-C. 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Nepomnyaschikh", TITLE = "Domain Decomposition and {S}chwarz Methods in a Subspace for the Approximate Solution of Elliptic Boundary Value Problems", SCHOOL = "Computing Center of the Siberian Branch of the USSR Academy of Sciences", ADDRESS = "Novosibirsk, USSR", YEAR = 1986 } @ARTICLE{Nepomnyaschikh:1989:ABM, AUTHOR = "Sergey V. Nepomnyaschikh", TITLE = "On the application of the bordering method to the mixed boundary value problem for elliptic equations and on the mesh norms in $ W_{2}^{1/2}(S)$", JOURNAL = "Sov. J. Numer. Anal. Math. Modeling", VOLUME = 4, YEAR = 1989, PAGES = "493-506" } @INPROCEEDINGS{Nepomnyaschikh:1991:ADE, AUTHOR = "Sergey V. Nepomnyaschikh", TITLE = "Application of Domain Decomposition to Elliptic Problems on with Discontinuous Coefficients", BOOKTITLE = "Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations", EDITOR = "Roland Glowinski and Yuri A. Kuznetsov and G{\'e}rard A. Meurant and Jacques P{\'e}riaux and Olof Widlund", YEAR = 1991, PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA", PAGES = "242--251" } @TECHREPORT{Nepomnyaschikh:1991:ETC, AUTHOR = "Sergey V. Nepomnyaschikh and Olof B. Widlund", TITLE = "Extension Theorems for the Case of Locally Refined Meshes", YEAR = 1991, INSTITUTION = "Dept. of Computer Science, Courant Institute of Mathematical Sciences", NOTE = "To appear" } @ARTICLE{Nepomnyaschikh:1991:MTT, AUTHOR = "Sergey V. Nepomnyaschikh", TITLE = "Mesh theorems of traces, normalizations of function traces and their inversions", JOURNAL = "Sov. J. Numer. Anal. Math. Modeling", VOLUME = 6, YEAR = 1991, PAGES = "1-25" } @INPROCEEDINGS{Nepomnyaschikh:1992:DFD, AUTHOR = "Sergey V. Nepomnyaschikh", TITLE = "Decomposition and Fictious Domains for Elliptic Boundary Value Problems", BOOKTITLE = "Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations", EDITOR = "David E. Keyes and Tony F. 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Pavarino", TITLE = "Some {S}chwarz Algorithms for the p-version Finite Element Method", BOOKTITLE = "Domain Decomposition Methods in Science and Engineering: The Sixth International Conference on Domain Decomposition", EDITOR = "Alfio Quarteroni and Yuri A. Kuznetsov and Jacques P{\'e}riaux and Olof B. Widlund", YEAR = 1994, SERIES = "Contemporary Mathematics", PUBLISHER = "AMS", VOLUME = 157, NOTE = "Held in Como, Italy, June 15--19,1992." } @ARTICLE{Pavarino:1994:SML, AUTHOR = "Luca F. Pavarino", TITLE = "{S}chwarz Methods with Local Refinement for the p-version Finite Element Method", YEAR = 1994, VOLUME = 69, NUMBER = 2, PAGES = "185--211", JOURNAL = "Numer. Math." } @INPROCEEDINGS{Pavarino:1994:WBB, AUTHOR = "Luca F. Pavarino", TITLE = "A Wire Basket Based Method for Spectral Elements in Three Dimensions", BOOKTITLE = "Seventh International Conference of Domain Decomposition Methods in Scientific and Engineering Computing", EDITOR = "David E. 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Valli", TITLE = "Heterogeneous domain decomposition principles, algorithms, applications", BOOKTITLE = "Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations", YEAR = 1992, EDITOR = "David E. Keyes and Tony F. Chan and G{\'e}rard A. Meurant and Jeffrey S. Scroggs and Robert G. Voigt", PAGES = "129--150", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA" } @PROCEEDINGS{Quarteroni:1994:DMS, TITLE = "Domain Decomposition Methods in Science and Engineering: The Sixth International Conference on Domain Decomposition", EDITOR = "Alfio Quarteroni and Yuri A. Kuznetsov and Jacques P{\'e}riaux and Olof B. Widlund", YEAR = 1994, PUBLISHER = "AMS", SERIES = "Contemporary Mathematics", VOLUME = 157, NOTE = "Held in Como, Italy, June 15--19,1992." } @ARTICLE{Quarteroni:1995:HHD, AUTHOR = "A. Quarteroni and L. Stolcis", TITLE = "Homogeneous and Heterogeneous Domain Decomposition for Compressible Fluid Flows at High Reynolds Numbers", JOURNAL = "Numerical Methods for Fluid Dynamics", YEAR = 1995, VOLUME = 5, PAGES = "113--128" } @BOOK{Quarteroni:1999:DDM, AUTHOR = "Alfio Quarteroni and Alberto Valli", TITLE = "Domain Decomposition Methods for Partial Differential Equations", PUBLISHER = "Oxford Science Publications", YEAR = 1999 } @BOOK{Rannacher:1192:PNS, AUTHOR = "R. Rannacher", TITLE = "On {C}horin's projection methods for {N}avier-{S}tokes equations", PUBLISHER = "Springer", YEAR = 1992, SERIES = "Lecture Notes in Mathematics", ADDRESS = "Berlin" } @TECHREPORT{Rapetti:2000:FDD, AUTHOR = "Francesca Rapetti and Andrea Toselli", TITLE = "A {F}{E}{T}{I} preconditioner for two dimensional edge element approximations of {M}axwell's equations on non--matching grids", INSTITUTION = "Department of Computer Sciences, New York University", YEAR = 2000, NUMBER = 800, NOTE = "Submitted to SIAM J. Sc. Comp." } @UNPUBLISHED{Rapetti:2000:MEE, AUTHOR = "F. Rapetti", TITLE = "The mortar edge element method on non-matching grids for eddy current calculations in moving structures", NOTE = "Int. J. Num. An. (submitted)", YEAR = 2000 } @INPROCEEDINGS{Raviart:1975:MFE, AUTHOR = "P. A. Raviart and J. M. Thomas", TITLE = "A Mixed Finite Element Method for 2-nd Order Elliptic Problems", BOOKTITLE = "Mathematical Aspects of Finite Element Methods", NOTE = "Lecture Notes of Mathematics, Volume 606", YEAR = 1975, EDITOR = "A. Dold and B. Eckmann", PUBLISHER = "Springer" } @BOOK{Renardy:1996:AIP, AUTHOR = "Michael Renardy and Robert C. Rogers", TITLE = "An Introduction to Partial Differential Equations", PUBLISHER = "Springer Verlag", YEAR = 1996 } @ARTICLE{Rice:1998:AAS, AUTHOR = "John Rice", TITLE = "An Agent Architecture for Solving Partial Differential Equation", JOURNAL = "SIAM News", YEAR = 1998, VOLUME = 31, NUMBER = 6, MONTH = "July/August" } @ARTICLE{Rice:2000:IRM, AUTHOR = "J. R. 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R{\o}nquist", TITLE = "A Domain Decomposition Method for Elliptic Boundary Value Problems: Application to Unsteady Incompressible Fluid Flow", BOOKTITLE = "Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations", YEAR = 1992, EDITOR = "David E. Keyes and Tony F. Chan and G{\'e}rard A. Meurant and Jeffrey S. Scroggs and Robert G. Voigt", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA", PAGES = "545--557" } @TECHREPORT{Ronquist:1993:ESB, AUTHOR = "Einar M. R{\o}nquist", TITLE = "An Elliptic Solver Based on Conjugate Gradients, Domain Decomposition and Deflation", YEAR = 1993, INSTITUTION = "Nektonics Inc.", ADDRESS = "875 Main Street, Cambridge, MA 02139, USA" } @INCOLLECTION{Roux:1995:DBP, AUTHOR = "F. X. 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Widlund", TITLE = "Iterative Substructuring Methods: {T}he General Elliptic Case", BOOKTITLE = "Computational Processes and Systems, 6", YEAR = 1988, PUBLISHER = "Nauka", ADDRESS = "Moscow", 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", TITLE = "Iterative Substructuring Methods: {A}lgorithms and Theory for Elliptic Problems in the Plane", BOOKTITLE = "First International Symposium on Domain Decomposition Methods for Partial Differential Equations", YEAR = 1988, EDITOR = "Roland Glowinski and Gene H. Golub and G{\'e}rard A. Meurant and Jacques P{\'e}riaux", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA" } @ARTICLE{Widlund:1989:DIR, AUTHOR = "Olof B. 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Karr", PAGES = "462--467", YEAR = 1989, NOTE = "Proceeding of the 7th International Conference on Finite Element Methods in Flow Problems held in {H}untsville, {A}labama, April 3 -- 7, 1989." } @INPROCEEDINGS{Widlund:1989:OIR, AUTHOR = "Olof B. Widlund", TITLE = "Optimal Iterative Refinement Methods", BOOKTITLE = "Domain Decomposition Methods", YEAR = 1989, EDITOR = "Tony Chan and Roland Glowinski and Jacques P{\'e}riaux and Olof Widlund", PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA" } @TECHREPORT{Widlund:1989:RCC, AUTHOR = "Olof B. Widlund", TITLE = "On the Rate of Convergence of the Classical {S}chwarz Alternating Method in the Case of more than Two Subregions", INSTITUTION = "Department of Computer Science, Courant Institute", YEAR = 1989, NOTE = "A revised version in preparation" } @INPROCEEDINGS{Widlund:1992:SMS, AUTHOR = "Olof B. Widlund", TITLE = "Some {S}chwarz Methods for Symmetric and Nonsymmetric Elliptic Problems", BOOKTITLE = "Fifth International Symposium on Domain Decomposition Methods for Partial Differential Equations", EDITOR = "David E. Keyes and Tony F. Chan and G{\'e}rard A. Meurant and Jeffrey S. Scroggs and Robert G. Voigt", YEAR = 1992, PUBLISHER = "SIAM", ADDRESS = "Philadelphia, PA", PAGES = "19--36" } @INPROCEEDINGS{Widlund:1994:ECS, AUTHOR = "Olof B. Widlund", TITLE = "Exotic Coarse Spaces for {S}chwarz Methods for Lower Order and Spectral Finite Elements", BOOKTITLE = "Seventh International Conference of Domain Decomposition Methods in Scientific and Engineering Computing", EDITOR = "David E. Keyes and Jinchao Xu", YEAR = 1994, SERIES = "Contemporary Mathematics", VOLUME = 180, PAGES = "131--136", PUBLISHER = "AMS", NOTE = "Held at Penn State University, October 27-30, 1993." } @INPROCEEDINGS{Widlund:1996:DMS, AUTHOR = "Olof B. 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Math.", YEAR = 2000, NOTE = "submitted" } @INPROCEEDINGS{Dostal:2001:EAC, AUTHOR = "Zden{\v e}k Dost{\'a}l and V{\'{\i}}t Vondr{\'a}k and John Rasmussen", TITLE = "Efficient algorithms for contact shape optimization", BOOKTITLE = "Workshop Fast Solution of Discretized Optimization Problems", YEAR = 2001, EDITOR = "V. Schulz", ADDRESS = "WIAS Berlin", PAGES = "98--106" } @ARTICLE{Farhat:1997:GSD, AUTHOR = "Charbel~Farhat and Michel~G{\'e}rardin", TITLE = "On the general solution by a direct method of a large scale singular system of linear equations: application to the analysis of floating structures", JOURNAL = "Int. J. Num. Met. 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