Topics in Boundary Element Research

Volume 1: Basic Principles and Applications

  • Carlos A. Brebbia

Table of contents

  1. Front Matter
    Pages I-XIII
  2. C. Brebbia, J. J. Connor
    Pages 1-12
  3. M. A. Jaswon
    Pages 13-40
  4. H. L. G. Pina, J. L. M. Fernandes
    Pages 41-58
  5. M. Tanaka, H. Togoh, M. Kikuta
    Pages 59-77
  6. J. A. Liggett, P. L.-F. Liu
    Pages 78-96
  7. M. C. Au, C. A. Brebbia
    Pages 97-122
  8. C. Patterson, M. A. Sheikh
    Pages 123-141
  9. W. S. Venturini, C. A. Brebbia
    Pages 142-169
  10. G. Beer, J. L. Meek
    Pages 170-203
  11. N. Kamiya, Y. Sawaki
    Pages 204-224
  12. Ismael Herrera
    Pages 225-253
  13. Back Matter
    Pages 255-258

About this book

Introduction

As the Boundary Element Method develops into a tool of engineering analysis more effort is dedicated to studying new applications and solving different problems. This book contains chapters on the basic principles of the technique, time dependent problems, fluid mechanics, hydraulics, geomechanics and plate bending. The number of non-linear and time dependent problems which have become amenable to solution using boundary elements have induced many researchers to investigate in depth the basis of the method. Chapter 0 of this book presents an ap­ proach based on weighted residual and error approximations, which permits easy construction of the governing boundary integral equations. Chapter I reviews the theoretical aspects of integral equation formulations with emphasis in their mathematical aspects. The analysis of time dependent problems is presented in Chap. 2 which describes the time and space dependent integral formulation of heat conduction problems and then proposes a numerical procedure and time marching algorithm. Chapter 3 reviews the application of boundary elements for fracture mechanics analysis in the presence of thermal stresses. The chapter presents numerical results and the considerations on numerical accuracy are of interest to analysts as well as practising engineers.

Keywords

algorithms engineer fluid mechanics fracture mechanics mechanics research

Editors and affiliations

  • Carlos A. Brebbia
    • 1
  1. 1.Department of Civil EngineeringThe UniversitySouthamptonEngland

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4899-2877-1
  • Copyright Information Springer Science+Business Media New York 1984
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-13097-2
  • Online ISBN 978-1-4899-2877-1
  • About this book
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