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Contemporary Mathematics

Domain Decomposition Methods 10

Table of Contents

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Invited Presentations

Yves Achdou, Gassan Abdoulaev, Jean-Claude Hontand, Yuri A. Kuznetsov, Olivier Pironneau, and Christophe Prud'homme;
Nonmatching Grids for Fluids
Cont. Math 218 (1998), pp. 3-22.
Timothy J. Barth, Tony F. Chan, and Wei-Pai Tang;
A Parallel Non-Overlapping Domain-Decomposition Algorithm for Compressible Fluid Flow Problems on Triangulated Domains
Cont. Math 218 (1998), pp. 23-41.
Armel de La Bourdonnaye, Charbel Farhat, Antonini Macedo, Frédéric Magoulès, and François-Xavier Roux ;
A Non-Overlapping Domain Decomposition Method for the Exterior Helmholtz Problem
Cont. Math 218 (1998), pp. 42-66.
Tony F. Chan, Jinchao Xu, and Ludmil Zikatanov;
An Agglomeration Multigrid Method for Unstructured Grids
Cont. Math 218 (1998), pp. 67-81.
Zdenek Dostál, Ana Friedlander, and Sandra A. Santos;
Solution of Coercive and Semicoercive Contact Problems by FETI Domain Decomposition
Cont. Math 218 (1998), pp. 82-93.
Maksymilian Dryja;
An Iterative Substructuring Method for Elliptic Mortar Finite Element Problems with Discontinuous Coefficients
Cont. Math 218 (1998), pp. 94-103.
Magne S. Espedal, Karl J. Hersvik, and Brit G. Ersland;
Domain Decomposition Methods for Flow in Heterogeneous Porous Media
Cont. Math 218 (1998), pp. 104-120.
Roland Glowinski, Tsorng-Whay Pan, Todd I. Hesla, Daniel D. Joseph, and Jacques Periaux;
A Fictitious Domain Method with Distributed Lagrange Multipliers for the Numerical Simulation of Particulate Flow
Cont. Math 218 (1998), pp. 121-137.
Luca F. Pavarino;
Domain Decomposition Algorithms for Saddle Point Problems
Cont. Math 218 (1998), pp. 138-157.
François-Xavier Roux and Charbel Farhat;
Parallel Implementation of Direct Solution Strategies for the Coarse Grid Solvers in 2-level FETI Method
Cont. Math 218 (1998), pp. 158-173.
Yousef Saad, Maria Sosonkina, and Jun Zhang;
Domain Decomposition and Multi-Level Type Techniques for General Sparse Linear Systems
Cont. Math 218 (1998), pp. 174-190.
Spencer J. Sherwin, Timothy C.E. Warburton, and George Em Karniadakis;
Spectral / hp Methods for Elliptic Problems on Hybrid Grids
Cont. Math 218 (1998), pp. 191-216.
Mary F. Wheeler and Ivan Yotov;
Physical and Computational Domain Decompositions for Modeling Subsurface Flows
Cont. Math 218 (1998), pp. 217-228.

Algorithms

Ion Bica;
Nonoverlapping Domain Decomposition Algorithms for the p-version Finite Element Method for Elliptic Problems
Cont. Math 218 (1998), pp. 231-237.
David Dureisseix and Pierre Ladevèze;
A 2-level and Mixed Domain Decomposition Approach for Structural Analysis
Cont. Math 218 (1998), pp. 238-245.
Shoichi Fujima;
Iso-P2 P1/P1/P1 Domain-Decomposition/Finite-Element Method for the Navier-Stokes Equations
Cont. Math 218 (1998), pp. 246-253.
Serge Goossens, Xiao-Chuan Cai, and Dirk Roose;
Overlapping Nonmatching Grids Method: Some Preliminary Studies
Cont. Math 218 (1998), pp. 254-261.
Céline Grandmont and Yvon Maday;
Nonconforming Grids for the Simulation of Fluid-Structure Interaction
Cont. Math 218 (1998), pp. 262-270.
Michael Griebel and Gerhard Zumbusch;
Hash-Storage Techniques for Adaptive Multilevel Solvers and Their Domain Decomposition Parallelization
Cont. Math 218 (1998), pp. 271-278.
Caroline Japhet, Frédéric Nataf, and François-Xavier Roux;
Extension of a Coarse Grid Preconditioner to Non-symmetric Problems
Cont. Math 218 (1998), pp. 279-286.
Dinesh K. Kaushik, David E. Keyes, and Barry F. Smith;
On the Interaction of Architecture and Algorithm in the Domain-based Parallelization of an Unstructured-grid Incompressible Flow Code
Cont. Math 218 (1998), pp. 287-295.
Axel Klawonn;
Additive Domain Decomposition Algorithms for a Class of Mixed Finite Element Methods
Cont. Math 218 (1998), pp. 296-303.
Catherine Lacour;
Non-conforming Domain Decomposition Method for Plate and Shell Problems
Cont. Math 218 (1998), pp. 304-310.
Choi-Hong Lai and Ke Chen;
Solutions of Boundary Element Equations by a Flexible Elimination Process
Cont. Math 218 (1998), pp. 311-317.
Michel Lesoinne and Kendall Pierson;
An Efficient FETI Implementation on Distributed Shared Memory Machines with Independent Numbers of Subdomains and Processors
Cont. Math 218 (1998), pp. 318-324.
Lois C. McInnes, Romeo F. Susan-Resiga, David E. Keyes, and Hafiz M. Atassi;
Additive Schwarz Methods with Nonreflecting Boundary Conditions for the Parallel Computation of Helmholtz Problems
Cont. Math 218 (1998), pp. 325-333.
Franck Risler and Christian Rey;
On the Reuse of Ritz Vectors for the Solution to Nonlinear Elasticity Problems by Domain Decomposition Methods
Cont. Math 218 (1998), pp. 334-340.
Daniel J. Rixen;
Dual Schur Complement Method for Semi-Definite Problems
Cont. Math 218 (1998), pp. 341-348.
Petr Vanek, Jan Mandel, and Marian Brezina;
Two-level Algebraic Multigrid for the Helmholtz Problem
Cont. Math 218 (1998), pp. 349-356.
Arnt H. Veenstra, Hai Xiang Lin, and Edwin A.H. Vollebregt ;
A Comparison of Scalability of Different Parallel Iterative Methods for Shallow Water Equations
Cont. Math 218 (1998), pp. 357-364.
Daoqi Yang;
A Nonoverlapping Subdomain Algorithm with Lagrange Multipliers and Its Object Oriented Implementation for Interface Problems
Cont. Math 218 (1998), pp. 365-373.

Theory

Yves Achdou and Frédéric Nataf;
A Robin-Robin Preconditioner for an Advection-Diffusion Problem
Cont. Math 218 (1998), pp. 377-383.
Frédéric Bourquin and Rabah Namar;
A Semi-dual Mode Synthesis Method for Plate Bending Vibrations
Cont. Math 218 (1998), pp. 384-390.
Xiao-Chuan Cai, Mario A. Casarin, Frank W. Elliott, Jr., and Olof B. Widlund;
Overlapping Schwarz Algorithms for Solving Helmholtz's Equation
Cont. Math 218 (1998), pp. 391-399.
Philippe Chevalier and Frédéric Nataf;
Symmetrized Method with Optimized Second-Order Conditions for the Helmholtz Equation
Cont. Math 218 (1998), pp. 400-407.
Sébastien Clerc;
Non-overlapping Schwarz Method for Systems of First Order Equations
Cont. Math 218 (1998), pp. 408-416.
Xiaobing Feng;
Interface Conditions and Non--overlapping Domain Decomposition Methods for a Fluid--Solid Interaction Problem
Cont. Math 218 (1998), pp. 417-424.
Martin J. Gander;
Overlapping Schwarz Waveform Relaxation for Parabolic Problems
Cont. Math 218 (1998), pp. 425-431.
Karl Gustafson;
Domain Decomposition, Operator Trigonometry, Robin Condition
Cont. Math 218 (1998), pp. 432-437.
Gary Man-Kwong Hui and Howard Swann;
On Orthogonal Polynomial Bases for Triangles and Tetrahedra Invariant under the Symmetric Group
Cont. Math 218 (1998), pp. 438-446.
Shiu Hong Lui;
On Schwarz Alternating Methods for Nonlinear Elliptic Problems
Cont. Math 218 (1998), pp. 447-452.
Padmanabhan Seshaiyer and Manil Suri;
Convergence Results for Non-Conforming hp Methods: The Mortar Finite Element Method
Cont. Math 218 (1998), pp. 453-459.
Zhongci Shi and Zhenghui Xie;
Intergrid Transfer Operators for Biharmonic Problems Using Nonconforming Plate Elements on Nonnested Meshes
Cont. Math 218 (1998), pp. 460-467.
Yunhai Wu, Xiao-Chuan Cai, and David E. Keyes;
Additive Schwarz Methods for Hyperbolic Equations
Cont. Math 218 (1998), pp. 468-476.

Applications

Xiao-Chuan Cai, Charbel Farhat, and Marcus Sarkis;
A Minimum Overlap Restricted Additive Schwarz Preconditioner and Applications in 3D Flow Simulations
Cont. Math 218 (1998), pp. 479-485.
Diane Crann, Alan J. Davies, Choi-Hong Lai, and Swee H. Leong;
Time Domain Decomposition for European Options in Financial Modelling
Cont. Math 218 (1998), pp. 486-491.
Jean-Michel Cros;
Parallel Modal Synthesis Methods in Structural Dynamics
Cont. Math 218 (1998), pp. 492-499.
Georgi S. Djambazov, Choi-Hong Lai, and Koulis A. Pericleous;
Efficient Computation of Aerodynamic Noise
Cont. Math 218 (1998), pp. 500-506.
Frank-Christian Otto and Gert Lube;
Non-overlapping Domain Decomposition Applied to Incompressible Flow Problems
Cont. Math 218 (1998), pp. 507-514.
Charaka J. Palansuriya, Choi-Hong Lai, Constantinos S. Ierotheou, and Koulis A. Pericleous;
A Domain Decomposition Based Algorithm for Non-linear 2D Inverse Heat Conduction Problems
Cont. Math 218 (1998), pp. 515-522.
Xue-Cheng Tai, Johnny Frøyen, Magne S. Espedal, and Tony F. Chan;
Overlapping Domain Decomposition and Multigrid Methods for Inverse Problems
Cont. Math 218 (1998), pp. 523-529.
Andrea Toselli;
Some Results on Schwarz Methods for a Low--Frequency Approximation of Time--Dependent Maxwell's Equations in Conductive Media
Cont. Math 218 (1998), pp. 530-537.
Robbert L. Verweij, Aris Twerda, and Tim W.J. Peeters;
Parallel Computing for Reacting Flows Using Adaptive Grid Refinement
Cont. Math 218 (1998), pp. 538-546.
Christian Wieners and Barbara I. Wohlmuth;
The Coupling of Mixed and Conforming Finite Element Discretizations
Cont. Math 218 (1998), pp. 547-554.