Boundary Element Methods

  • Stefan A. Sauter
  • Christoph Schwab

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 39)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Stefan A. Sauter, Christoph Schwab
    Pages 1-19
  3. Stefan A. Sauter, Christoph Schwab
    Pages 21-100
  4. Stefan A. Sauter, Christoph Schwab
    Pages 101-181
  5. Stefan A. Sauter, Christoph Schwab
    Pages 183-287
  6. Stefan A. Sauter, Christoph Schwab
    Pages 289-352
  7. Stefan A. Sauter, Christoph Schwab
    Pages 353-402
  8. Stefan A. Sauter, Christoph Schwab
    Pages 403-465
  9. Stefan A. Sauter, Christoph Schwab
    Pages 467-516
  10. Stefan A. Sauter, Christoph Schwab
    Pages 517-544
  11. Back Matter
    Pages 545-561

About this book

Introduction

This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems  in IR3.

The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient realization of the Galerkin BEM, it is essential to replace time-consuming steps in the numerical solution process with fast algorithms. In Chapters 5-9 these methods are developed, analyzed, and formulated in an algorithmic way.

Keywords

boundary element methods elliptic boundary integral equations fast cluster and multipole methods numerical integration

Authors and affiliations

  • Stefan A. Sauter
    • 1
  • Christoph Schwab
    • 2
  1. 1.Institut für MathematikUniversität ZürichZürichSwitzerland
  2. 2.Seminar für Angewandte MathematikETH ZürichZürichSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-68093-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-68092-5
  • Online ISBN 978-3-540-68093-2
  • Series Print ISSN 0179-3632
  • About this book