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The Dual Reciprocity Boundary Element Method

  • P. W. Partridge
  • C. A. Brebbia
  • L. C. Wrobel

Part of the International Series on Computational Engineering book series (ISCE)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. P. W. Partridge, C. A. Brebbia, L. C. Wrobel
    Pages 1-10
  3. P. W. Partridge, C. A. Brebbia, L. C. Wrobel
    Pages 11-68
  4. P. W. Partridge, C. A. Brebbia, L. C. Wrobel
    Pages 69-108
  5. P. W. Partridge, C. A. Brebbia, L. C. Wrobel
    Pages 109-173
  6. P. W. Partridge, C. A. Brebbia, L. C. Wrobel
    Pages 175-222
  7. P. W. Partridge, C. A. Brebbia, L. C. Wrobel
    Pages 223-265
  8. P. W. Partridge, C. A. Brebbia, L. C. Wrobel
    Pages 267-268
  9. Back Matter
    Pages 269-284

About this book

Introduction

The boundary element method (BEM) is now a well-established numerical technique which provides an efficient alternative to the prevailing finite difference and finite element methods for the solution of a wide range of engineering problems. The main advantage of the BEM is its unique ability to provide a complete problem solution in terms of boundary values only, with substantial savings in computer time and data preparation effort. An initial restriction of the BEM was that the fundamental solution to the original partial differential equation was required in order to obtain an equivalent boundary in­ tegral equation. Another was that non-homogeneous terms accounting for effects such as distributed loads were included in the formulation by means of domain integrals, thus making the technique lose the attraction of its "boundary-only" character. Many different approaches have been developed to overcome these problems. It is our opinion that the most successful so far is the dual reciprocity method (DRM), which is the subject matter of this book. The basic idea behind this approach is to employ a fundamental solution corresponding to a simpler equation and to treat the remaining terms, as well as other non-homogeneous terms in the original equation, through a procedure which involves a series expansion using global approximating functions and the application of reciprocity principles.

Keywords

Helmholtz equation Monte Carlo method beam boundary element method convection development differential equation diffusion dimensional analysis engine finite element method integral equation materials preparation torsion

Authors and affiliations

  • P. W. Partridge
    • 1
    • 2
  • C. A. Brebbia
    • 1
    • 2
  • L. C. Wrobel
    • 1
    • 2
  1. 1.Wessex Institute of TechnologySouthamptonUK
  2. 2.Ashurst LodgeAshurstSouthamptonUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-3690-7
  • Copyright Information Springer Science+Business Media B.V. 1991
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-85166-700-0
  • Online ISBN 978-94-011-3690-7
  • Buy this book on publisher's site
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