Proceedings of the Third International Conference on Domain Decomposition Methods in Houston, Texas (March 20-22 1989)
The printed version was published by Siam
Domain Decomposition Methods for Partial Differential Equations
T.F. Chan, R. Glowinski, J. Périaux, O.B. Widlund (Eds.)
1989, 491 p., Softcover, ISBN: 0-89871-253-X
Preface (PDF)
Part I: Theory
- Towards a Unified Theory of Domain Decomposition Algorithm for Elliptic Problems(PDF). M. Dryja and O.B. Widlund
- On the Coupling of Two Dimensional Hyperbolic and Elliptic Equations: Analytical and Numerical Approach(PDF). F. Gastaldi, A. Quateroni and G.S. Landriani
- On the Coupling of Viscous and Inviscid Models for Compressible Fluid Flows Via Domain Decomposition(PDF). R. Glowinski, J. Periaux and G. Terrasson
- Local Refinement Via Domain Decomposition Techniques for Mixed Finite Element Methods with Rectangular Raviart-Thomas Elements(PDF). R.E. Ewing, R.D. Lazarov, T.F. Russel and P.S. Vassilevski
- A Domain Decomposition Method with Locally Uniform Mesh Refinement(PDF). W. Gropp and D.E. Keyes
- Domain Decomposition for a Boundary-Value Problem with a Shock Layer(PDF). G.W. Hedstrom and F.A. Howes
- Hierachical Preconditioning and Partial Orthogonalization for the p-Version Finite-Element Method(PDF). J. Mandel
- On the Mortar Element Method: Generalizations and Implentation(PDF). G. Anagnostou, Y. Maday, C. Mavriplis and A.T. Patera
- Convergence Estimates for Some Multigrid Algorithms(PDF). J. Xu
Part II: Algorithms
- A Variation of the Schwarz Alternating Method: The Domain Decomposition Reduction Method(PDF). C.C. Douglas
- On the Schwarz Alternating Method III: A Variant for Nonoverlapping Subdomains(PDF). P.L. Lions
- Augmented Lagrangian Interpretation of the Nonoverlapping Schwarz Alternating Method(PDF). R. Glowinski and P. Le Tallec
- An Additive Schwarz Algorithm for Nonselfadjoint Elliptic Equations(PDF). X-C. Cai
- Interface Preconditionings for Domain-Decomposed Convection-Diffusion Operators(PDF). T.F. Chan and D.E. Keyes
- Acceleration of Domain Decomposition Algorithms for Mixed Finite Elements by Multi-Level Methods(PDF). R. Glowinski, W. Kinton and M.F. Wheeler
- Multigrid Domain Decomposition Methods(PDF). Y.A. Kuznetsov
- Acceleration of the Outer Conjugate Gradient by Reorthogonalization for a Domain Decomposition Method with Lagrange Multiplier(PDF). F.-X. Roux
- Performance of the Neumann-Dirichlet Preconditioner for Substructures with Intersecting Interfaces(PDF). W. Proskurowski and S. Sha
Part III: Parallel Implementation
- Parallel Multilevel Preconditioners(PDF). J.H. Bramble, J.E. Pasciak and J. Xu
- Parallel-Vector Computation with High Degree Element-By-Element Methods(PDF). E. Barragy and G.F. Carey
- A Parallel Algorithm for Nonlinear Convection-Diffusion Equations(PDF). J.S. Scroggs
- Solving Laplace Equations on the Connection Machine(PDF). M-Y. Wu
Part IV: Applications
- A Patched-Grid Algorithm for Complex Aircraft Configurations(PDF). R.W. Walters and J.L. Thomas
- Domain Decomposition and Associate Block-Jacobi Method for the Diffusion Equation(PDF). F. Coulomb
- Application of Domain Decomposition to the Analysis of Complex Aerodynamic Configurations(PDF). W.E. Dietz, J.L. Jacocks and J.H. Fox
- Sub-Structuring Lattice Gases(PDF). B. Elton and G. Rodrique
- Combined AIE/EBE/GMRES Approach to Incompressible Flows(PDF). J. Liou and T.E. Tezduyar
- Domain Decomposition for Reservoir Flow Problems(PDF). O. Saevareid, H.K. Dahle and M.S. Espedal