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