Hardcopy of the proceedings

The printed version was published by Siam
Domain Decomposition Methods
T.F. Chan, R. Glowinski, J. Périaux, O.B. Widlund (Eds.)
1989, 463 p., Softcover, ISBN: 0-89871-233-5

Download selected contributions

Preface (PDF)

Part I: Theory

• Variational Formulation and Algorithm for Trace Operator in Domain Decomposition Calculations (PDF).
  J.F. Bourgat, R. Glowinski, P.L. Tallec and M. Vidrascu
• On the Discrezization of Interdomain Coupling in Elliptic Boundary-value Problems (PDF).
  M.R. Dorr
• A Domain Decomposition Method for a Convection Diffusion Equation with Turning Point (PDF).
  G.W. Hedstrom and F.A. Howes
• On the Schwarz Alternating Method II: Stochastic Interpretation and Orders Properties (PDF).
  P.L. Lions
• Parallel Algorithms for Solving Partial Differential Equations (PDF).
  T. Lu, T.M. Shih and C.B. Liem
• Iterative Solution of Elliptic Equations with Refinement: The Two-Level Case (PDF).
  J. Mandel and S. McCormick
• Iterative Solution of Elliptic Equations with Refinement: The Model Multi-Level Case (PDF).
  J. Mandel and S. McCormick
• Remarks on Spectral Equivalence of Certain Discrete Operators (PDF).
  W. Proskurowski
• Optimal Iterative Refinement Methods (PDF).
  O.B. Widlund

Part II: Algorithms

• Domain Decomposition Techniques and the Solution of Poissons's Equation in Infinite Domains (PDF).
  C.R. Anderson
• Some Remarks on the Hierachical Basis Multigrid Method (PDF).
  R.E. Bank, and H. Yserentant
• Multiplicative and Additive Schwarz Methods: Convergence in the Two-Domain Case (PDF).
  P. E. Bjørstad
• Boundary Probe Domain Decomposition Preconditioners for Fourth Order Problems (PDF).
  T.F. Chan
• An Additive Schwarz Algorithm for Two- and Three-Dimensional Finite Element Elliptic Problems (PDF).
  M. Dryja
• New Domain Decomposition Strategies for Elliptic Partial Differential Equations (PDF).
  D.J. Evans and K. Li-shan
• Domain Decomposition Techniques for Efficient Adaptive Local Grid Refinement (PDF).
  R.E. Ewing
• Domain Decomposition Method and Parallell Algorithms (PDF).
  K. Li-shan
• Incomplete Domain Decomposition Preconditioners for Nonsymmmetric Problems (PDF).
  G. Meurant
• A Domain Decomposition Method for Boundary Layer Problems (PDF).
  G. Rodrigue and E. Reiter
• Wavefront Elimination and Renormalization (PDF).
  W.P. Tang

Part III: Parallel Implementation

• Efficiency of Multicolor Domain Decomposition on Distributed Memory Systems (PDF).
  L. Brochard
• Domain Decomposition on Parallel Computers (PDF).
  W.D. Gropp and D.E. Keyes
• Parallel Efficiency of a Domain Decomposition Method (PDF).
  M. Haghoo and W. Proskurowski

Part IV: Applications

• Multi-Block Euler Method Using Patched Grids (PDF).
  T. Berglind
• Domain Decomposition and Mixed Finite Elements for the Neutron Diffusion Equation (PDF).
  F. Coulomb
• A Parallel Solver for the Linear Elasticity Equations on a Composite Beam (PDF).
  P. Destuynder and F.-X. Roux
• Domain Decomposition for Nonsymmetric Systems of Equations: Examples from Computational Fluid Dynamics (PDF).
  D.E. Keyes and W.D. Gropp
• Multidomain Spectral Solution of Shock-Turbulence Interactions (PDF).
  D.A. Kopriva and Y. Hussaini
• A Domain Decomposition Approach for the Computation of Incompressible Flow by the Pseudospectral Matrix Element Method and It's Parallel Implementation (PDF).
  H.D. Ku, R.S. Hirsh, T.D. Taylor and A.P. Rosenberg
• A Spectral Multi-Domain Technique Applied to High-Speed Chemically Reacting Flows (PDF).
  M.G. Macaraeg, C.L. Streett and M.Y. Hussaini
• Nonconforming Mortar Element Methods: Application to Spectral Discretizations (PDF).
  Y. Maday, C. Mavriiplis and A. T. Patera
• Two Domain Decomposition Techniques for Stokes Problems (PDF).
  J.E. Pasciak
• Domain Decomposition Algorithm for the Stokes Equations (PDF).
  A. Quarteroni
• Adaptive Implicit-Explicit and Parallel Element-By-Element Iteration Schemes (PDF).
  T.E. Tezduyar, J. Lion, T. Nguyen and S. Poole