Numerical Approximation Methods for Elliptic Boundary Value Problems

Finite and Boundary Elements

  • Olaf Steinbach

Table of contents

  1. Front Matter
    Pages I-XII
  2. Pages 19-39
  3. Pages 41-58
  4. Pages 89-109
  5. Pages 187-202
  6. Pages 203-228
  7. Pages 229-242
  8. Pages 243-261
  9. Pages 263-290
  10. Back Matter
    Pages 375-386

About this book

Introduction

Although the aim of this book is to give a unified introduction into finite and boundary element methods, the main focus is on the numerical analysis of boundary integral and boundary element methods.

Starting from the variational formulation of elliptic boundary value problems boundary integral operators and associated boundary integral equations are introduced and analyzed. By using finite and boundary elements corresponding numerical approximation schemes are considered.

This textbook may serve as a basis for an introductory course in particular for boundary element methods including modern trends such as fast boundary element methods and efficient solution methods, as well as the coupling of finite and boundary element methods.

Keywords

Approximation Boundary Elliptic Methods Numerical finite element method numerical methods operator partial differential equation

Authors and affiliations

  • Olaf Steinbach
    • 1
  1. 1.Institute of Computational MathematicsGraz University of TechnologyAustria

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-387-68805-3
  • Copyright Information Springer-Verlag New York 2008
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-31312-2
  • Online ISBN 978-0-387-68805-3
  • About this book