Proceedings of the 4th International Conference on Domain Decomposition Methods in Moscow, Russia (May 21-25 1990)

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Hardcopy of the proceedings

The printed version was published by Siam
Domain Decomposition Methods for Partial Differential Equations
R. Glowinski, Y.A. Kuznetsov, G. Meurant, J. Périaux, O.B. Widlund (Eds.)
1991, 417 p., Softcover, ISBN: 0-89871-278-5

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Preface (PDF)

Part I: Foundations of Domain Decomposition Methods

Domain Decomposition Method: Some Results of Theory and Applications (PDF).
V.I. Agoshkov
The 'Scalar' Poincare-Steklov Operator and the 'Vector' One: Algebraic Structures which Underlie their Duality (PDF).
A. Bossavit
Practical Uses of Domain Reduction Methods (PDF).
C.C. Douglas
On Some Modern Approaches to Contructing Spectrally Equivalent Grid Operators (PDF).
E.G.D. Yakonov
Domain Decomposition in Boundary Element Methods (PDF).
G.C. Hsiao and W.L. Wendland
Domain Decomposition for Two-Point Boundary Value Problems (PDF).
H.B. Keller
Theory and Application of Steklov-Poincare Operators for Boundary-Value Problems: The Heterogeneous Operator Case (PDF).
A. Quateroni and A. Valli
Domain Decomposition Method in Partial Symmetric Eigenvalue Problem (PDF).
A.L Skorokhodov

Part II: Preconditioning Methods

Domain Decomposition Methods for Problems with Uniform Local Refinement in Two Dimensions (PDF).
J.H. Bramble, R. Ewing, R.R. Parashkevovo and J.E. Pasciak
An Application of the Probing Technique to the Vertex Space Method in Domain Decomposition (PDF).
T.F.C. Chan and T.P. Mathew
Analysis and Test of a Local Domain Decomposition Preconditioner (PDF).
Y-H. De Roeck and P. LeTallec
Domain-Decomposable Preconditioners for Second-Order Upwind Discretizations of Multicomponent Systems (PDF).
D.E. Keyes and W.D. Gropp
A Clustered Element-by-Element Iteration Method for Finite Element Computations (PDF).
J. Liou and T.E. Tezduyar
Preconditioning Boundary Conditions: L2 and H1Theory (PDF).
S.V. Parter

Part III: Multilevel Methods

Algebraic Multilevel Preconditioning Methods III (PDF).
O. Oxelsson and P.S. Vassilevski
A Fourier Analysis of the Two-Level-Hierarchical Basis Multigrid Method for Convection-Diffusion Equations (PDF).
R.E. Banks and M. Benbourenane
An Analysis of Convergence of the Multigrid Method for Stiff Problems (PDF).
V. Kucherenko

Part IV: Solution of Elliptic Problems

Iterative Methods for Solving Equations with Highly Varying Coefficients (PDF).
N.S. Bakhvalov, A.V. Knyazev and G.M. Kobelkov
Mixed Finite Element Solutions of Second Order Elliptic Problems on Grids with Regular Local Refinement (PDF).
R.E. Ewing, R.D. Lazarov and P.S. Vassilevski
Algorithm of Box Domain Decomposition for Solution of 3-D Elliptic Problems (PDF).
B.N. Khoromskij, G.E. Mazurkevich and E.P. Zhidkov
Overlapping Domain Decomposition Methods for FE-Problems with Elliptic Singular Perturbed Operators (PDF).
Y.A. Kuznetsov
Application of Domain Decomposition to Elliptic Problems with Discontinuous Coefficients (PDF).
S.V. Nepomnyaschikh

Part V: Solution of Parabolic Problems

A Domain Decomposition Method for Parabolic Equations Based of Finite Elements (PDF).
C.N. Dawson and Q. Du
Substructuring Methods for Parabolic Problems (PDF).
M. Dryja

Part VI: Application to Fluid Dynamics and Electromagnetics

Control Approach to Fictitious-Domain Methods Application to Fluid Dynamics and Electro-Magnetics (PDF).
C. Atamian, Q.V. Dinh, R. Glowinski, J. He and J. Périaux
Domain Decomposition Methods for the Navier-Stokes Equations (PDF).
M. Fortin, R. Aboulaiche, C. Kari and F. Pitt

Part VII: Domain Decomposition and Parallel Computing

Parallel Substructuring Algorithms in Structural Analysis, Direct and Iterative Methods (PDF).
P.E. Bjørstad; J. Braekhus and A. Hvidsten
Domain Decomposer: A Software Tool for Mapping PDE Computations to Parallel Architectures (PDF).
N.P. Chrisochoides, C.E. Houstis, E.N. Houstis, P.N. Papachiou, S.K. Kortesis and J.R. Rice
Parallel Domain Decomposition Method for Mixed Finite Elements for Elliptic Partial Differential Equations (PDF).
L.C. Cowsar and M.F. Wheeler
Parallel Domain Decomposition and the Solution of Nonlinear Systems of Equations (PDF).
W.D. Gropp and D.E. Keyes
On a Parallel Schwarz Algorithm for Symmetric Strongly Elliptic Integral Equations (PDF).
F.K. Hebeker
Numerical Experiments with Domain Decomposition Methods for Parabolic Problems on Parallel Computers (PDF).
G. Meurant
Distributed Computing and Adaptive Solution to Nonlinear PDES (PDF).
J.S. Scroggs and J.S. Saltz

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