The Boundary Element Method

  • W. S. Hall

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 27)

Table of contents

  1. Front Matter
    Pages i-x
  2. W. S. Hall
    Pages 1-38
  3. W. S. Hall
    Pages 39-59
  4. W. S. Hall
    Pages 61-83
  5. W. S. Hall
    Pages 85-119
  6. W. S. Hall
    Pages 121-139
  7. W. S. Hall
    Pages 141-160
  8. W. S. Hall
    Pages 177-207
  9. Back Matter
    Pages 208-230

About this book

Introduction

The Boundary Element Method is a simple, efficient and cost effective computational technique which provides numerical solutions - for objects of any shap- for a wide range of scientific and engineering problems. In dealing with the development of the mathematics of the Boundary Element Method the aim has been at every stage, only to present new material when sufficient experience and practice of simpler material has been gained. Since the usual background of many readers will be of differential equations, the connection of differential equations with integral equations is explained in Chapter 1, together with analytical and numerical methods of solution. This information on integral equations provides a base for the work of subsequent chapters. The mathematical formulation of boundary integral equations for potential problems - derived from the more familiar Laplace partial differential equation which governs many important physical problems - is set out in Chapter 2. It should be noted here that this initial formulation of the boundary integral equations reduces the dimensionality of the problem. In the key Chapter 3, the essentials of the Boundary Element Method are presented. This first presentation of the Boundary Element Method is in its simplest and most approachable form - two dimensional, with the shape of the boundary approximated by straight lines and the functions approximated by constants over each of the straight lines.

Keywords

Approximation Mathematica calculus elastostatics mathematics statics

Authors and affiliations

  • W. S. Hall
    • 1
  1. 1.University of TeessideSchool of Computing and MathematicsMiddlesborough, ClevelandUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-0784-6
  • Copyright Information Springer Science+Business Media Dordrecht 1994
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-4336-6
  • Online ISBN 978-94-011-0784-6
  • Series Print ISSN 0925-0042
  • About this book