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Domain Decomposition Methods in Science and Engineering XVI

  • Conference proceedings
  • © 2007

Overview

Editors:
  1. Olof B. Widlund

    1. Courant Institute of Mathematical Sciences, New York University, New York, USA

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  2. David E. Keyes

    1. Department of Applied Physics & Mathematics, Columbia University, New York, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 55)

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Table of contents (96 papers)

  1. Front Matter

    Pages I-XXI
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  2. Plenary Presentations

    1. Front Matter

      Pages I-XXI
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    2. A Domain Decomposition Solver for a Parallel Adaptive Meshing Paradigm

      • Randolph E. Bank
      Pages 3-14

    3. Algebraic Multigrid Methods Based on Compatible Relaxation and Energy Minimization

      • James Brannick, Ludmil Zikatanov
      Pages 15-26

    4. Lower Bounds in Domain Decomposition

      • Susanne C. Brenner
      Pages 27-39

    5. Heterogeneous Domain Decomposition Methods for Fluid-Structure Interaction Problems

      • Simone Deparis, Marco Discacciati, Gilles Fourestey, Alfio Quarteroni
      Pages 41-52

    6. Preconditioning of Saddle Point Systems by Substructuring and a Penalty Approach

      • Clark R. Dohrmann
      Pages 53-64

    7. Nonconforming Methods for Nonlinear Elasticity Problems

      • Bernd Flemisch, Barbara I. Wohlmuth
      Pages 65-76

    8. Finite Element Methods with Patches and Applications

      • Roland Glowinski, Jiwen He, Alexei Lozinski, Marco Picasso, Jacques Rappaz, Vittoria Rezzonico et al.
      Pages 77-89

    9. On Preconditioned Uzawa-type Iterations for a Saddle Point Problem with Inequality Constraints

      • Carsten Gräser, Ralf Kornhuber
      Pages 91-102

    10. Multilevel Methods for Eigenspace Computations in Structural Dynamics

      • Ulrich L. Hetmaniuk, Richard B. Lehoucq
      Pages 103-113

    11. Recent Developments on Optimized Schwarz Methods

      • Frédéric Nataf
      Pages 115-125

    12. Schur Complement Preconditioners for Distributed General Sparse Linear Systems

      • Yousef Saad
      Pages 127-138

    13. Schwarz Preconditioning for High Order Simplicial Finite Elements

      • Joachim Schöberl, Jens M. Melenk, Clemens G. A. Pechstein, Sabine C. Zaglmayr
      Pages 139-150

  3. Minisymposia

    1. Front Matter

      Pages I-XXI
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    2. MINISYMPOSIUM 1: Domain Decomposition Methods for Simulation-constrained Optimization

      • Volkan Akcelik, George Biros, Omar Ghattas
      Pages 153-153

    3. Robust Multilevel Restricted Schwarz Preconditioners and Applications

      • Ernesto E. Prudencio, Xiao-Chuan Cai
      Pages 155-162

    4. MINISYMPOSIUM 2: Optimized Schwarz Methods

      • Martin Gander, Fréderic Nataf
      Pages 163-163

    5. Optimized Schwarz Methods in Spherical Geometry with an Overset Grid System

      • Jean Côté, Martin J. Gander, Lahcen Laayouni, Abdessamad Qaddouri
      Pages 165-172

    6. An Optimized Schwarz Algorithm for the Compressible Euler Equations

      • Victorita Dolean, Frédéric Nataf
      Pages 173-180
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Keywords

About this book

Domain decomposition is an active, interdisciplinary research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. Since the advent of hierarchical distributed memory computers, it has been motivated by considerations of concurrency and locality in a wide variety of large-scale problems, continuous and discrete. Historically, it emerged from the analysis of partial differential equations, beginning with the work of Schwarz in 1870. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.

Editors and Affiliations

  • Courant Institute of Mathematical Sciences, New York University, New York, USA

    Olof B. Widlund

  • Department of Applied Physics & Mathematics, Columbia University, New York, USA

    David E. Keyes

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