Matrix-Based Multigrid

Theory and Applications

Editors:

ISBN: 978-0-387-49764-8 (Print) 978-0-387-49765-5 (Online)

Table of contents (19 chapters)

  1. Front Matter

    Pages i-xxiii

  2. Concepts and Preliminaries

    1. Front Matter

      Pages 1-3

    2. No Access

      Book Chapter

      Pages 5-21

      The Multilevel-Multiscale Approach

    3. No Access

      Book Chapter

      Pages 23-43

      Preliminaries

  3. Partial Differential Equations and Their Discretization

    1. Front Matter

      Pages 45-47

    2. No Access

      Book Chapter

      Pages 49-66

      Finite Differences and Volumes

    3. No Access

      Book Chapter

      Pages 67-83

      Finite Elements

  4. The Numerical Solution of Large Sparse Linear Systems of Algebraic Equations

    1. Front Matter

      Pages 85-87

    2. No Access

      Book Chapter

      Pages 89-107

      Iterative Linear System Solvers

    3. No Access

      Book Chapter

      Pages 109-129

      The Multigrid Iteration

  5. Matrix-Based Multigrid for Structured Grids

    1. Front Matter

      Pages 131-133

    2. No Access

      Book Chapter

      Pages 135-144

      The Automatic Multigrid Method

    3. No Access

      Book Chapter

      Pages 145-153

      Applications in Image Processing

    4. No Access

      Book Chapter

      Pages 155-164

      The Black-Box Multigrid Method

    5. No Access

      Book Chapter

      Pages 165-181

      The Indefinite Helmholtz Equation

    6. No Access

      Book Chapter

      Pages 183-198

      Matrix-Based Semicoarsening Method

  6. Matrix-Based Multigrid for Semistructured Grids

    1. Front Matter

      Pages 199-201

    2. No Access

      Book Chapter

      Pages 203-222

      Matrix-Based Multigrid for Locally Refined Meshes

    3. No Access

      Book Chapter

      Pages 223-233

      Application to Semistructured Grids

  7. Matrix-Based Multigrid for Unstructured Grids

    1. Front Matter

      Pages 235-237

    2. No Access

      Book Chapter

      Pages 239-248

      The Domain-Decomposition Multigrid Method

    3. No Access

      Book Chapter

      Pages 249-259

      The Algebraic Multilevel Method

    4. No Access

      Book Chapter

      Pages 261-271

      Applications

    5. No Access

      Book Chapter

      Pages 273-287

      Semialgebraic Multilevel Method for Systems of Partial Differential Equations

  8. Appendices

    1. Front Matter

      Pages 289-291

    2. No Access

      Book Chapter

      Pages 293-300

      Time-Dependent Parabolic PDEs

    3. No Access

      Book Chapter

      Pages 301-304

      Nonlinear Equations

  9. Back Matter

    Pages 305-318