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Boundary Integral Equations

  • George C. Hsiao
  • Wolfgang L. Wendland

Part of the Applied Mathematical Sciences book series (AMS, volume 164)

About this book

Introduction

This book is devoted to the basic mathematical properties of solutions to boundary integral equations and presents a systematic approach to the variational methods for the boundary integral equations arising in elasticity, fluid mechanics, and acoustic scattering theory. It may also serve as the mathematical foundation of the boundary element methods. The latter have recently become extremely popular and efficient computational tools in applications. The authors are well known for their fundamental work on boundary integral equations and related topics. This book is a major scholarly contribution to the modern theory of boundary integral equations and should be accessible and useful to a large community of mathematical analysts, applied mathematicians, engineers and scientists.

Keywords

Fredholm alternative Garding' s inequality Green' s formulae Integral equation differential equation first kind and second kind integral equations fluid mechanics fundamental solutions mechanics operator pseudo-differential operators scattering

Authors and affiliations

  • George C. Hsiao
    • 1
  • Wolfgang L. Wendland
    • 2
  1. 1.Department of Mathematical SciencesUniversity of DelawareNewarkUSA
  2. 2.Institut für Angewandte Analysis und Numerische SimulationUniversität Stuttgart70569Germany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-68545-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-15284-2
  • Online ISBN 978-3-540-68545-6
  • Series Print ISSN 0066-5452
  • Buy this book on publisher's site