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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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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. 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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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Sips", PAGES = "95--102", PUBLISHER = "Imperial College Press" } @INPROCEEDINGS{Charao:2000:PAR, AUTHOR = "Andr{\'e}a S. Char{\~a}o and Isabelle Charpentier and Brigitte Plateau", TITLE = "A Framework for Parallel Multithreaded Implementation of Domain Decomposition Methods", BOOKTITLE = "Parallel Computing: Fundamentals and Applications", YEAR = 2000, EDITOR = "E. H. D'Hollander and G. R. Joubert and F. J. Peters and H. J. Sips", PAGES = "95--102", PUBLISHER = "Imperial College Press" } @ARTICLE{Charao:2000:TSI, AUTHOR = "Andr\'ea S. Char\~ao and Isabelle Charpentier and Brigitte Plateau", TITLE = "Programmation par objet et utilisation de processus l\'egers pour les m\'ethodes de d\'ecomposition de domaine", JOURNAL = "Technique et Science Informatiques", YEAR = 2000, VOLUME = 5, NUMBER = 19 } @PHDTHESIS{Charao:2001:PDD, AUTHOR = "Andr{\'e}a S. 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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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Math.", YEAR = 2000, NOTE = "submitted" } @ARTICLE{Dostal:2000:SCP, AUTHOR = "Zden{\v e}k Dost{\'a}l and Francisco A. M. Gomes and Sandra A. Santos", TITLE = "Solution of contact problems by {FETI} domain decomposition", JOURNAL = "Computer Meth. Appl. Mech. Engrg.", YEAR = 2000, VOLUME = 190, PAGES = "1611-1627" } @ARTICLE{Dostal:2001:ALA, AUTHOR = "Zden{\v e}k Dost{\'a}l and Ana Friedlander and Sandra A. Santos", TITLE = "Augmented Lagrangians with adaptive precision control for quadratic programming with simple bounds and equality constraints", JOURNAL = "SIAM J. Opt.", YEAR = 2001, 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. 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Gander and Laurence Halpern and Fr\'ed\'eric Nataf", TITLE = "Optimal Convergence for Overlapping and Non-Overlapping {S}chwarz Waveform Relaxation", BOOKTITLE = "Eleventh international Conference of Domain Decomposition Methods", YEAR = 1999, EDITOR = "C-H. Lai and P. Bj{\o}rstad and M. Cross and O. Widlund", PUBLISHER = "ddm.org" } @INPROCEEDINGS{Gander:2000:OSM, AUTHOR = "Martin J. Gander and Laurence Halpern and Fr{\'e}d{\'e}ric Nataf", TITLE = "Optimized {S}chwarz Methods", BOOKTITLE = "Twelfth International Conference on Domain Decomposition Methods, Chiba, Japan", YEAR = 2001, EDITOR = "Tony Chan and Takashi Kako and Hideo Kawarada and Olivier Pironneau", PAGES = "15--28", PUBLISHER = "Domain Decomposition Press", ADDRESS = "Bergen" } @UNPUBLISHED{Gander:2000:UOSM, AUTHOR = "Martin J. Gander", TITLE = "Optimized {S}chwarz Methods for Symmetric Positive Definite Problems", YEAR = 2000, NOTE = "in preparation" } @ARTICLE{Gander:2001:MDD, AUTHOR = "Martin J. Gander and Laurence Halpern", TITLE = "M{\'e}thodes de d{\'e}composition de domaines pour l'{\'e}quation des ondes en dimension 1", JOURNAL = "C. R. Acad. Sci. Paris", YEAR = 2001, VOLUME = "I", NUMBER = 333, PAGES = "589--592" } @ARTICLE{Gander:2001:OSH, AUTHOR = "Martin J. Gander and Fr\'ed\'eric Magoul\`es and Fr\'ed\'eric Nataf", TITLE = "Optimized {S}chwarz Methods without Overlap for the {H}elmholtz Equation", JOURNAL = "SIAM J. Sci. Comput.", YEAR = 2001, NOTE = "to appear" } @INPROCEEDINGS{Gander:2001:OSM, AUTHOR = "Martin J. Gander", TITLE = "Optimized {S}chwarz Methods for {H}elmholtz Problems", BOOKTITLE = "Thirteenth international conference on domain decomposition", YEAR = 2001, PAGES = "245--252" } @ARTICLE{Gander:2001:UAD, AUTHOR = "Martin J. Gander and Laurence Halpern", TITLE = "Un algorithme discret de d{\'e}composition de domaines pour l'{\'e}quation des ondes en dimension 1", JOURNAL = "C. R. Acad. Sci. Paris", YEAR = 2001, VOLUME = "I", NUMBER = 333, PAGES = "699--702" } @BOOK{Gantmacher:1966:TM, AUTHOR = "Felix R. Gantmacher", TITLE = "Theorie des matrices", PUBLISHER = "Dunod", YEAR = 1966 } @ARTICLE{Garbey:1996:SAP, AUTHOR = "Marc Garbey", TITLE = "A {S}chwarz Alternating Procedure for Singular Perturbation Problems", JOURNAL = "SIAM J. Sci. Comput.", YEAR = 1996, VOLUME = 17, PAGES = "1175--1201" } @INPROCEEDINGS{Garbey:1999:OPD, AUTHOR = "M. Garbey and D. Tromeur-Dervout", TITLE = "Operator Splitting and Domain Decomposition for Multiclusters", BOOKTITLE = "Proc. Int. Conf. Parallel CFD99", YEAR = 2000, EDITOR = "D. Keyes and A. Ecer and N. Satofuka and P. Fox and J. Periaux", PAGES = "27--36", PUBLISHER = "North-Holland" } @INPROCEEDINGS{Garbey:2002:ASC, AUTHOR = "Marc Garbey and Damien Tromeur-Dervout", TITLE = "Aitken-{S}chwarz Method on {C}artesian grids", BOOKTITLE = "Proc. Int. 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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 First International Symposium on Domain Decomposition Methods for Partial Differential Equations, 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. Wheeler", TITLE = "Acceleration of Domain Decomposition Algorithms for Mixed Finite Elements by Multi-level Methods", 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, held in Houston, Texas, March 20-22, 1989", PUBLISHER = "SIAM, Philadelphia, PA" } @PROCEEDINGS{Glowinski:1991:FIS, TITLE = "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", NOTE = "Held in Moscow, USSR, May 21--25, 1990." } @ARTICLE{Glowinski:1992:FEM, AUTHOR = "Ronald Glowinski and Olivier Pironneau", TITLE = "Finite element methods for {N}avier-{S}tokes equations", JOURNAL = "Annual Review of Fluid Mechanics", YEAR = 1992, VOLUME = 24, PAGES = "167--204" } @ARTICLE{Glowinski:1994:283--303, AUTHOR = "R. Glowinski and T. W. Pan and J. Periaux", TITLE = "A fictitious domain method for {D}irichlet problem and applications", JOURNAL = "Computer Methods in Applied Mechanics and Engineering", YEAR = 1994, VOLUME = 111, PAGES = "283--303" } @PROCEEDINGS{Glowinski:1997:DDM, TITLE = "Domain Decomposition Methods in Sciences and Engineering", YEAR = 1997, EDITOR = "R. Glowinski and J. P{\'e}riaux and Z. Shi", PUBLISHER = "John Wiley \& Sons", NOTE = "Proceedings of Eighth International Conference, Beijing, P.R. China" } @INPROCEEDINGS{Glowinski:1997:DLM, AUTHOR = "R. Glowinski and T. I. Hesla and D. D. Joseph and T. W. Pan and J. Periaux", TITLE = "Distributed {L}agrange multiplier methods for particulate flows", BOOKTITLE = "Computational Science for the 21st Century", YEAR = 1997, EDITOR = "M.O. Bristeau and G.J. Etgen and W. Fitzgibbon and J.L. Lions and J. Periaux and M.F. Wheeler", PAGES = "270-279", PUBLISHER = "Wiley", ADDRESS = "Chichester" } @ARTICLE{Glowinski:1998:DLM, AUTHOR = "Roland Glowinski and Tsorng-Whay Pan and Jacques Periaux", TITLE = "Distributed Lagrange multiplier methods for incompressible flow around moving rigid bodies", JOURNAL = "Comput. Methods Appl. Mech. Engrg.", YEAR = 1998, VOLUME = 151, PAGES = "181-194" } @ARTICLE{Glowinski:1998:EDM, AUTHOR = "Roland Glowinski and Yuri Kuznetsov", TITLE = "On the solution of the {D}irichlet problem for linear elliptic operators by a distributed {L}agrange multiplier method", JOURNAL = "C. R. Acad. Sci. Paris S\'er. I Math.", YEAR = 1998, VOLUME = 327, NUMBER = 7, PAGES = "693--698" } @INPROCEEDINGS{Glowinski:1998:FDM, AUTHOR = "R. Glowinski and T. W. Pan and T. I. Hesla and D. D. Joseph and J. Periaux", TITLE = "A fictitious domain method with distributed {L}agrange multipliers for the numerical simulation of particulate flow", BOOKTITLE = "Domain Decomposition Methods 10", YEAR = 1998, EDITOR = "J. Mandel and C. Farhat and and X.C. Cai", PAGES = "121--137", PUBLISHER = "AMS", ADDRESS = "Providence, RI" } @MISC{Glowinski:1999:DES, AUTHOR = "R. Glowinski and J. L. Lions and O. Pironneau", TITLE = "Decomposition of energy spaces and applications", HOWPUBLISHED = "C.R.A.S., Paris", YEAR = 1999 } @ARTICLE{Glowinski:1999:DLF, AUTHOR = "Roland Glowinski and Tsorng-Whay Pan and Todd I. Hesla and Daniel D. Joseph and Jacques Périaux", TITLE = "A distributed {L}agrange multiplier/fictitious domain method for flows around moving rigid bodies: Application to particulate flow", JOURNAL = "Int. J. Num. Meth. 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Joseph and Jacques Periaux", TITLE = "A distributed Lagrange multiplier/fictitious domain method for the simulation of flows around moving rigid bodies: Application to particulate flow", JOURNAL = "Comput. Meth. Appl. Mech. Engrg.", YEAR = 2000, VOLUME = 184, PAGES = "241-268" } @ARTICLE{Glowinski:2001:FDA, AUTHOR = "Roland Glowinski and Tsorng-Whay Pan and Todd I. Hesla and Daniel D. Joseph and Jacques Periaux", TITLE = "A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: Application to particulate flow", JOURNAL = "J. Comput. Phys.", YEAR = 2001, VOLUME = 169, PAGES = "363-426" } @PROCEEDINGS{Glowinsky:1987:FIS, TITLE = "first international symposium on domain decomposition methods", YEAR = 1987, EDITOR = "Glowinsky and Golub and Periaux", PUBLISHER = "siam", ADDRESS = "Philadelphia, PA", NOTE = "Held in Paris, January 1987" } @INPROCEEDINGS{Goldfeld:2002:BNN, AUTHOR = "Paulo Goldfeld and Luca F. 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Peraire", TITLE = "A general formulation for a posteriori 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 } @ARTICLE{Magoules:2000:JCA, AUTHOR = "F. Magoul\`es and K. Meerbergen and J.-P. Coyette", TITLE = "Application of a domain decomposition method with {L}agrange multipliers to acoustic problems arising from the automotive industry", JOURNAL = "Journal of Computational Acoustics", YEAR = 2000, VOLUME = 8, NUMBER = 3, PAGES = "503--521" } @PHDTHESIS{Magoules:2000:PHD, AUTHOR = "F. Magoul\`es", TITLE = "M\'ethodes num\'eriques de d\'ecomposition de domaine pour des probl\`emes de propagation d'ondes", SCHOOL = "University Pierre \& Marie Curie, France", YEAR = 2000, MONTH = "January" } @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 Domain Decomposition for Problems with Large Jumps in Coefficients", 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 } @TECHREPORT{Mandel:1997:MGE, AUTHOR = "Jan Mandel and Mirela Popa", TITLE = "A Multigrid Method for Elastic Scattering", INSTITUTION = "Center for Computational Mathematics, University of Colorado at Denver", YEAR = 1997, TYPE = "UCD/CCM Report", NUMBER = 109, URL = "http://www-math.cudenver.edu/ccmreports/rep109.ps.gz" } @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 Scalable Substructuring Method by Lagrange Multipliers for Plate Bending Problems", 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{Mandel:2001:CDP, AUTHOR = "Jan Mandel and Radek Tezaur", TITLE = "On the convergence of a dual-primal substructuring method", JOURNAL = "Numer. Math.", YEAR = 2001, VOLUME = 88, PAGES = "543-558" } @ARTICLE{Mandel:2002:ISM, AUTHOR = "Jan Mandel", TITLE = "An Iterative Substructuring Method for Coupled Fluid-Solid Acoustic Problems", JOURNAL = "Journal of Computational Physics", YEAR = 2002, VOLUME = 176, PAGES = "1--22" } @ARTICLE{Marchuk:1986:FDD, AUTHOR = "G. I. Marchuk and Y. A. Kuznetsov and A. M. Matsokin", TITLE = "Fictitious domain and domain decomposition methods", JOURNAL = "Sov.J.Numer.Anal.Math.Modelling", YEAR = 1986, VOLUME = 1, NUMBER = 1, PAGES = "3--35" } @ARTICLE{Marchuk:1986:FDM, AUTHOR = "G. I. Marchuk and Yu. A. Kuznetsov and A. M. Matsokin", TITLE = "Fictitious domain and domain decomposition methods", YEAR = 1986, VOLUME = 1, JOURNAL = "Soviet J. of Numer. Anal. Math. Modelling", PAGES = "3--61" } @INCOLLECTION{Marchuk:1990:SAD, AUTHOR = "Gurii.I. Marchuk", TITLE = "Splitting and alternating direction methods", BOOKTITLE = "Handbook of Numerical Analysis, Vol. I", PUBLISHER = "North-Holland", YEAR = 1990, EDITOR = "Philip G. Ciarlet and Jacques-Louis Lions", PAGES = "197-462" } @BOOK{Marchuk:1990:SAM, AUTHOR = "Marchuk, G. I.", TITLE = "Handbook of Numerical Analysis, Splitting and alternating direction methods", PUBLISHER = "Elsevier Science Publishers B.V.", YEAR = 1990, VOLUME = "I", ADDRESS = "North-Holland, Amsterdam" } @TECHREPORT{Marcinkowski:1999:MEM, AUTHOR = "Leszek Marcinkowski", TITLE = "A Mortar Element Method for Some Discretizations of a Plate Problem", INSTITUTION = "Institute of Applied Mathematics and Mechanics, Warsaw University", YEAR = 1999, TYPE = "Tech. 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" } @TECHREPORT{Marcinkowski:2000:TDD, AUTHOR = "Leszek Marcinkowski", TITLE = "Two domain decomposition methods for mortar finite element discretizations of plate problems", INSTITUTION = "Institute of Applied Mathematics and Mechanics, Warsaw University", YEAR = 2000, TYPE = "Technical Report", NUMBER = 75, MONTH = "April", NOTE = "Accepted for publication in SIAM J. Num. Analysis", URL = "http://www.mimuw.edu.pl/~lmarcin/papers/" } @INPROCEEDINGS{Marcinkowski:2001:MFE, AUTHOR = "Leszek Marcinkowski", TITLE = "A mortar finite element method for plate problem", BOOKTITLE = "Twelfth International Conference on Domain Decomposition Methods, Chiba, Japan", YEAR = 2001, EDITOR = "Tony Chan and Takashi Kako and Hideo Kawarada and Olivier Pironneau", PAGES = "183--190", PUBLISHER = "Domain Decomposition Press", ADDRESS = "Bergen" } @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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Math.", PAGES = "445--468", VOLUME = 65, NUMBER = 4 } @ARTICLE{Mathew:1993:SAIb, AUTHOR = "Tarek P. Mathew", TITLE = "{S}chwarz alternating and iterative refinement methods for mixed formulations of elliptic Problems, Part {II}: {T}heory", YEAR = 1993, JOURNAL = "Numer. Math.", PAGES = "469--492", VOLUME = 65, NUMBER = 4 } @ARTICLE{Mathew:1998:DSM, AUTHOR = "T. P. Mathew and P. L. Polyakov and G. Russo J. Wang", TITLE = "Domain Decomposition Operator Splittings for the", JOURNAL = "SIAM J. Sci. Comput.", YEAR = 1998, PAGES = "912--932" } @ARTICLE{Mathew:1998:UCS, AUTHOR = "Tarek P. Mathew", TITLE = "Uniform convergence of the {S}chwarz alternating method for solving singularly perturbed advection-diffusion equations", JOURNAL = "SIAM J. Numer. Anal.", YEAR = 1998, VOLUME = 35, PAGES = "1663-1683" } @ARTICLE{Matsokin:1985:SAM, AUTHOR = "A. M. Matsokin and S. V. Nepomnyaschikh", TITLE = "A {S}chwarz alternating method in a subspace", YEAR = 1985, VOLUME = "29(10)", JOURNAL = "Soviet Mathematics", PAGES = "78--84" } @ARTICLE{Matsokin:1988:NST, AUTHOR = "A. M. Matsokin and S. V. Nepomnyaschikh", TITLE = "Norms on the space of traces of mesh functions", JOURNAL = "Sov. J. Numer. Anal. Math. Modeling", VOLUME = 3, YEAR = 1988, PAGES = "199-216" } @ARTICLE{Matsokin:1989:UBM, AUTHOR = "A. M. Matsokin and Sergey V. Nepomnyaschikh", TITLE = "On using the bordering method for solving systems of mesh equations", JOURNAL = "Sov. J. Numer. Anal. Math. Modeling", VOLUME = 4, YEAR = 1989, PAGES = "487-492" } @ARTICLE{Matsunaga:2000:SSW, AUTHOR = "N. Matsunaga and T. Yamamoto", TITLE = "Superconvergence of the {S}hortley-{W}eller approximation for {D}irichlet problems", JOURNAL = "J. Compt. 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(submitted)", YEAR = 2000 } @MANUAL{Rasmussen:1991:OSO, TITLE = "ODESSY System for Optimization", AUTHOR = "John Rasmussen and Oluf Krogh and Niels Olhoff", ORGANIZATION = "IME Aalborg University", YEAR = 1991, URL = "http://www.ime.auc.dk/research/design/odessy/Ods_index.htm" } @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" } @MANUAL{Reese:1998:SUM, TITLE = "Salinas User's Manual", AUTHOR = "Garth Reese and Manoj Bhardwaj and Dan Segalman and Kenneth Alvin and Brian Driessen", ORGANIZATION = "Sandia National Laboratories" } @BOOK{Renardy:1996:AIP, AUTHOR = "Michael Renardy and Robert C. Rogers", TITLE = "An Introduction to Partial Differential Equations", PUBLISHER = "Springer Verlag", YEAR = 1996 } @INPROCEEDINGS{Rene:1999:MCE, AUTHOR = "Christophe Ren\'e and Thierry Priol", TITLE = "MPI Code Encapsulation using Parallel CORBA Object", BOOKTITLE = "Proceedings of the Eighth IEEE International Symposium on High Performance Distributed Computing", YEAR = 1999, PAGES = "3--10" } @ARTICLE{Reusken:1993:MMD, AUTHOR = "Arnold Reusken", TITLE = "Multigrid with Matrix-Dependent Transfer Operators for a Singular Perturbation Problem", JOURNAL = "Computing", YEAR = 1993, VOLUME = 50, PAGES = "199--211" } @ARTICLE{Rey:1998:RRP, AUTHOR = "Christian Rey and Franck Risler", TITLE = "A Rayleigh-Ritz preconditioner for the iterative solution to large scale nonlinear problems", JOURNAL = "Numerical Algorithms", YEAR = 1998, VOLUME = 17, PAGES = "279-311" } @INCOLLECTION{Reynders:1996:POO, AUTHOR = "John V. W. Reynders and Paul J. Hinker and Julian C. Cummings and Susan R. Atlas and Subhankar Banerjee and William F. Humphrey and Steve R. Karmesin and Katarzyna Keahey and Marikani Srikant and Mary Dell Tholburn", TITLE = "{{POOMA}: {A} {F}ramework for {S}cientific {S}imulations of {P}aralllel {A}rchitectures}", BOOKTITLE = "Parallel Programming in C++", PUBLISHER = "MIT Press", YEAR = 1996, EDITOR = "Gregory V. Wilson and Paul Lu", CHAPTER = 14, PAGES = "547--588" } @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. Rice and P. Tsompanopoulou and E. Vavalis", TITLE = "Interface Relaxation Methods for Elliptic Differential Equations", JOURNAL = "Appl. Num. 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Sleziona", TITLE = "High Enthalpy Flows for Spaceflight Applications (in German)", PUBLISHER = "Shaker Verlag, Aachen", YEAR = 1999 } @ARTICLE{Sluis:1986:RCC, AUTHOR = "Abraham van der Sluis and Henk van der Vorst", TITLE = "The rate of convergence of conjugate gradients", JOURNAL = "Numer. Math.", YEAR = 1986, VOLUME = 48, PAGES = "543-560" } @INPROCEEDINGS{Smale:1986:NME, AUTHOR = "Stephen Smale", TITLE = "Newton's Method Estimates from Data at One Point", BOOKTITLE = "The Merging of Disciplines: New Directions in Pure, Applied and Computational Math", YEAR = 1986, EDITOR = "R Ewing and K Gross and C Martin", PAGES = "185--196", PUBLISHER = "Springer", ADDRESS = "NY" } @ARTICLE{Smith:1990:DAH, AUTHOR = "Barry F. Smith and Olof B. Widlund", TITLE = "A Domain Decomposition Algorithm Using a Hierarchical Basis", JOURNAL = "SIAM J. Sci. Stat. Comput.", VOLUME = 11, NUMBER = 6, YEAR = 1990, PAGES = "1212--1220" } @PHDTHESIS{Smith:1990:DAP, AUTHOR = "Barry F. 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