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Advanced Boundary Element Methods

Treatment of Boundary Value, Transmission and Contact Problems

  • Joachim Gwinner
  • Ernst Peter Stephan

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 52)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Joachim Gwinner, Ernst Peter Stephan
    Pages 1-7
  3. Joachim Gwinner, Ernst Peter Stephan
    Pages 9-41
  4. Joachim Gwinner, Ernst Peter Stephan
    Pages 43-62
  5. Joachim Gwinner, Ernst Peter Stephan
    Pages 63-93
  6. Joachim Gwinner, Ernst Peter Stephan
    Pages 115-222
  7. Joachim Gwinner, Ernst Peter Stephan
    Pages 223-267
  8. Joachim Gwinner, Ernst Peter Stephan
    Pages 269-294
  9. Joachim Gwinner, Ernst Peter Stephan
    Pages 295-332
  10. Joachim Gwinner, Ernst Peter Stephan
    Pages 333-388
  11. Joachim Gwinner, Ernst Peter Stephan
    Pages 389-449
  12. Joachim Gwinner, Ernst Peter Stephan
    Pages 451-536
  13. Joachim Gwinner, Ernst Peter Stephan
    Pages 537-561
  14. Back Matter
    Pages 563-652

About this book

Introduction

This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic and electromagnetic scattering. It serves as the mathematical foundation of the boundary element methods (BEM) both for static and dynamic problems. The book  presents a systematic approach to the variational methods for boundary integral equations including the treatment with variational inequalities for contact problems. It also features adaptive BEM,  hp-version BEM, coupling of finite and boundary element methods – efficient computational tools that have become extremely popular in applications.

Familiarizing readers with tools like Mellin transformation and pseudodifferential operators as well as convex and nonsmooth analysis for variational inequalities, it concisely presents efficient, state-of-the-art boundary element approximations and points to up-to-date research.

The authors are well known for their fundamental work on boundary elements and related topics, and this book is a major contribution to the modern theory of the BEM (especially for error controlled adaptive methods and for unilateral contact and dynamic problems) and is a valuable resource for applied mathematicians, engineers, scientists and graduate students.

Keywords

boundary integral equations boundary element Galerkin and collocation methods contact problems adaptive boundary elements time-domain boundary elements coupling of finite and boundary elements

Authors and affiliations

  • Joachim Gwinner
    • 1
  • Ernst Peter Stephan
    • 2
  1. 1.Fakultät für Luft- und RaumfahrttechnikUniversität der Bundeswehr MünchenNeubiberg/MünchenGermany
  2. 2.Institut für Angewandte MathematikLeibniz Universität HannoverHannoverGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-92001-6
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-92000-9
  • Online ISBN 978-3-319-92001-6
  • Series Print ISSN 0179-3632
  • Series Online ISSN 2198-3712
  • Buy this book on publisher's site