Domain Decomposition Methods (DDM)

Proceedings of the Fifth International Conference on Domain Decomposition Methods in Norfolk, Virginia (May 6-8 1991)

The printed version was published by Siam
Domain Decomposition Methods for Partial Differential Equations
D.E. Keyes, T.F. Chan, G. Meurant, J.S. Scroggs, R.G. Voigt (Eds.)
1992, 623 p., Softcover, ISBN: 0-98971-288-2

Preface (PDF)

Part I: Theoretical Foundations

Additive Schwarz Methods for Elliptic Finite Element Problems in Three Dimensions(PDF). M. Dryja and O.B. Widlund
Some Schwarz Methods for Symmetric and Nonsymmetric Elliptic Problems(PDF). O. Widlund
Domain Decomposition Method with Nonsymmetric Interface Operator(PDF). F. d’Hennezel
The Schwarz Algorithm and Multilevel Decopomposition Iterative Techniques for Mixed Finite Element Methods(PDF). R.E. Ewing and J. Wang
Preconditioners for One Class of Elliptic Problems in Not Simply Connected Domains(PDF). B.N. Khoromskij and G.E. Mazurkevich
Decomposition and Fictitious Domains Methods for Elliptic Boundary Value Problems(PDF). S.V. Nepomnyaschikh
Spectral Analysis of the Interface Operators Associated with the Preconditioned Saddle-Point Principle Domain Decomposition Method(PDF). F-X. Roux
An Iterative Substructuring Algorithm for Problems in Three Dimensions(PDF). B.F. Smith
Finite Element Matching Methods(PDF). J.-M. Thomas
Iterative Methods by SPD and Small Subspace Solvers for Nonsymmetric or Indefinite Problems(PDF). J. Xu
Domain Decomposition Algorithm for the Biharmonic Dirichlet Problem(PDF). X. Zhang

Part II: Algorithms

Heterogeneous Domain Decomposition: Principles, Algorithms, Applications(PDF). A. Quateroni, F. Pasquarelli and A. Valli
Lagrange Multiplier Approach to Fictious Domain Methods: Application to Fluid Dymanics and Electro-Magnetics(PDF). Q.V. Dinh, R. Glowinski, J. He, V. Kwock, T.W. Pan and J. Périaux
Adaptive Multi-Domain Spectral Methods(PDF). A. Bayliss, T. Belytschko, D. Hansen and E. Turkel
Penalty Method Utilized for Parabolic Problems(PDF). K. Black
Application of Domain Decomposition Techniques to Modal Synthesis for Eigenvalue Problems(PDF). F. Bourquin and F. d’Hennezel
A Comparison of Some Domain Decomposition Algorithms for Nonsymemetric Elliptic Problems(PDF). X-C. Cai, W.D. Gropp and D.E. Keyes
Fourier and Probe Variants of the Vertex Space Domain Decomposition Algorithm(PDF). T.F. Chan, T.P. Mathew and J-P. Shao
Domain Decomposition Method and Slow Passage Through a Hopf Bifurcation(PDF). R.C.Y. Chin and W. Liu
Domain Decomposition and PDE with Periodic Boundary Conditions(PDF). Z. Dostál
Two-Level Iterative Refinement Preconditioners(PDF). R.E. Ewings and P.S. Vassilkevski
A Saddle-Point Principle Domain Decomposition Method for the Solution of Solid Mechanics Problems(PDF). C. Farhat
Domain Decomposition to Solve Layers and Singular Pertubation Problems(PDF). M. Garbey
A Domain Decomposition Method for Eingenvalue Problems(PDF). J-C. Luo
On Adaptive Domain Decomposition with Moving Subdomains(PDF). C.J. Ribbens
Numerical Solution of a Turning Point Problem(PDF). W.P. Tang
The Parallel Block Preconditioned Conjugate Gradient Algorithm(PDF). W. Jin-xian
A Domain Decomposition Preconditioner Based on a Change to a Multilevel Nodal Basis (abstract only)(PDF). C.H. Tong, T.F. Chan and C.C.J. Kuo

Part III: Parallel Implementation

Parallel Computing and Domain Decomposition(PDF). W. Gropp
Domain Decomposition Algorithms of Schwarz Type, Designed for Massively Parallel Computers(PDF). P.E. Bjørstad and M.D. Skogen
Parallel Multigrid and Domain Decomposition Algorithms for Elliptic Equations(PDF). L.C. Cowsar, A. Weiser and M.F. Wheeler
The Performance of an Explicit/Implicit Domain Decomposition Procedure for Parabolic Equations on an Intel Hypercube(PDF). C.N. Dawson
Solution of the Stokes Problem on Distributed-Memory Multiprocessors(PDF). L. Mansfield
Parallel Multigrid Methods on Composite Meshes(PDF). H. Sbosny

Part IV: Applications

Kinematic Domain Decomposition for Boundary-Motion-Induced Flow Simulations(PDF). O. Baysal and G-W. Yen
Numerical Coupling of Nonconservative or Kinetic Models with the Conservative Compressible Navier-Stokes Equations(PDF). J-F. Bourgat, P. LeTallec, D. Tidriri and Y. Qiu
Spectral Domain Decomposition Methods for Compressible Navier-Stokes Equations(PDF). C. Carlenzoli, A. Quarteroni and A. Valli
Least Squares/Domain Imbedding Methods for Neumann Problems: Applications to Fluid Dynamics(PDF). E.J. Dean, Q.V. Dinh, R. Glowinski, J. He, T.W. Pan and J. Périaux
Hybrid Domain Decomposition for Configuration with Multiple Nonsimilar Components(PDF). K. Fouladi, O. Baysal and J.C. Newman
Hybrid Spectral Element Methods for Flows Over Rough Walls(PDF). R. Henderson and G.E. Karniadakis
A Submerged Body Moving in a Stratified Medium Via Domain Decomposition Technique(PDF). H-C Ku
Heterogeneous Domain Decomposition For Acoustic Bottom Interaction Problems(PDF). I. Lie
Solution of Differential-Algebraic Equations for Renal Acid-Base Balance(PDF). R. Meija
Coupling Particles and Finite Differences for the Nonlinear Radiative Transfere Equations(PDF). T. Nkaoua
Pseudospectral Domain Decomposition Techniques for the Navier-Stokes Equations(PDF). T.N. Phillips
A Domain Decomposition Technique for Computational Solid Dynamics(PDF). J.K. Prentice and M.M. Fikani
A Domain Decomposition Method for Elliptic Value Problems: Application to Unsteady Incompressible Fluid Flow(PDF). E.M. Rønquist
A Multiblock Multigrid Solution Procedure for Multielement Airfoils(PDF). M.D. Sanetrik and R.C. Swanson
Non-Oscillatory Spectral Element Chebyshev Method for Shock Wave Calculations(PDF). D. Sidilkover and G.E. Karniadakis
Adaptive Multigrid Domain Decomposition Solutions of the Reduced Navier Stokes Equations(PDF). K. Srinivasan and S.G. Rubin
A Parallel Algorithm for an Investigation of Self-Focusing Singularity of Higher KdV Equations(PDF). T.R. Taha
Composite Grids for Flow Computations on Complex 3D Domains(PDF). R.G. Venkata, J. Oliger and J. Ferziger
A Multidomain Spectral Collocation Solver for the Elasticity Problem(PDF). E. Zampieri

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