Domain Decomposition Methods in Science and Engineering XX

1. Front Matter

   Pages I-XIX

   PDF

2. Plenary Presentations

   1. Front Matter

      Pages 1-1

      PDF

   2. Equidistribution and Optimal Approximation Class

      • Constantin Bacuta, Long Chen, Jinchao Xu

      Pages 3-14

   3. Some Recent Tools and a BDDC Algorithm for 3D Problems in H(curl)

      • Clark R. Dohrmann, Olof B. Widlund

      Pages 15-25

   4. Symbolic Techniques for Domain Decomposition Methods

      • T. Cluzeau, V. Dolean, F. Nataf, A. Quadrat

      Pages 27-38

   5. Scalable Domain Decomposition Algorithms for Contact Problems: Theory, Numerical Experiments, and Real World Problems

      • Z. Dostál, T. Kozubek, T. Brzobohatý, A. Markopoulos, M. Sadowská, V. Vondrák

      Pages 39-49

   6. Robust Coarsening in Multiscale PDEs

      • Robert Scheichl

      Pages 51-62

   7. Multi-level Decompositions of Electronic Wave Functions

      • Harry Yserentant

      Pages 63-72

   8. A Substructuring Preconditioner for Three-Dimensional Maxwell’s Equations

      • Qiya Hu, Shi Shu, Jun Zou

      Pages 73-84

3. Minisymposia

   1. Front Matter

      Pages 85-85

      PDF

   2. A Two-Level Schwarz Preconditioner for Heterogeneous Problems

      • V. Dolean, F. Nataf, R. Scheichl, N. Spillane

      Pages 87-94

   3. Heterogeneous Domain Decomposition Methods for Eddy Current Problems

      • Ana Alonso Rodríguez

      Pages 95-102

   4. Mesh Regularization in Bank-Holst Parallel hp-Adaptive Meshing

      • Randolph E. Bank, Hieu Nguyen

      Pages 103-110

   5. Robust Parameter-Free Multilevel Methods for Neumann Boundary Control Problems

      • Etereldes Gonçalves, Marcus Sarkis

      Pages 111-118

   6. An Overlapping Domain Decomposition Method for a 3D PEMFC Model

      • Cheng Wang, Mingyan He, Ziping Huang, Pengtao Sun

      Pages 119-126

   7. Multigrid Methods for the Biharmonic Problem with Cahn-Hilliard Boundary Conditions

      • Susanne C. Brenner, Shiyuan Gu, Li-yeng Sung

      Pages 127-134

   8. A Two-Level Additive Schwarz Preconditioner for C ⁰ Interior Penalty Methods for Cahn-Hilliard Equations

      • Kening Wang

      Pages 135-142

   9. An Algebraic Multigrid Method Based on Matching in Graphs

      • James Brannick, Yao Chen, Johannes Kraus, Ludmil Zikatanov

      Pages 143-150

   10. Shifted Laplacian RAS Solvers for the Helmholtz Equation

       • Jung-Han Kimn, Marcus Sarkis

       Pages 151-158

   11. A Subspace Correction Method for Nearly Singular Linear Elasticity Problems

       • E. Karer, J. K. Kraus, L. T. Zikatanov

       Pages 159-166

These are the proceedings of the 20th international conference on domain decomposition methods in science and engineering. Domain decomposition methods are iterative methods for solving the often very large linearor nonlinear systems of algebraic equations that arise when various problems in continuum mechanics are discretized using finite elements. They are designed for massively parallel computers and take the memory hierarchy of such systems in mind. This is essential for approaching peak floating point performance. There is an increasingly well developed theory whichis having a direct impact on the development and improvements of these algorithms.​

• Domain Decomposition
• Finite Elements
• Parallel Computation
• Preconditioned Conjugate Gradients
• partial differential equations

• , Department of Mathematics, University of California, San Diego, La Jolla, USA

  Randolph Bank, Michael Holst

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

  Olof Widlund

• , Department of Mathematics, Pennsylvania State University, State College, USA

  Jinchao Xu

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