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The Boundary Element Method with Programming

For Engineers and Scientists

  • Book
  • © 2008

Overview

Authors:
  1. Gernot Beer

    1. Institute for Structural Analysis, Graz University of Technology, Austria

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  2. Ian M. Smith

    1. University of Manchester, UK

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  3. Christian Duenser

    1. Institute for Structural Analysis, Graz University of Technology, Austria

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  • Introductory text for engineers and scientists

  • Covers theory and implementation

  • Deals with a wide range of applications

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Preliminaries

    Pages 1-11

  3. Programming

    Pages 13-29

  4. Discretisation and Interpolation

    Pages 31-67

  5. Material Modelling and Fundamental Solutions

    Pages 69-94

  6. Boundary Integral Equations

    Pages 95-127

  7. Boundary Element Methods — Numerical Implementation

    Pages 129-168

  8. Assembly and Solution

    Pages 169-202

  9. Element-by-element techniques and Parallel Programming

    Pages 203-229

  10. Postprocessing

    Pages 231-262

  11. Test Examples

    Pages 263-291

  12. Multiple regions

    Pages 293-328

  13. Dealing with corners and changing geometry

    Pages 329-353

  14. Body Forces

    Pages 355-383

  15. Dynamic Analysis

    Pages 385-406

  16. Nonlinear Problems

    Pages 407-434

  17. Coupled Boundary Element/Finite Element Analysis

    Pages 435-449

  18. Industrial Applications

    Pages 451-473

  19. Advanced topics

    Pages 475-489

  20. Back Matter

    Pages 491-494
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Keywords

About this book

This is a sequel to the book “Programming the Boundary Element Method” by G. Beer published by Wiley in 2001. The scope of this book is different however and this is reflected in the title. Whereas the previous book concentrated on explaining the implementation of a limited range of problems into computer code and the emphasis was on programming, in the current book the problems covered are extended, the emphasis is on explaining the theory and computer code is not presented for all topics. The new topics covered range from dynamics to piezo-electricity. However, the main idea, to provide an explanation of the Boundary Element Method (BEM), that is easy for engineers and scientists to follow, is retained. This is achieved by explaining some aspects of the method in an engineering rather than mathematical way. Another new feature of the book is that it deals with the implementation of the method on parallel processing hardware. I. M. Smith, who has been involved in programming the finite element method for decades, illustrates that the BEM is “embarrassingly parallelisable”. It is shown that the conversion of the BEM programs to run efficiently on parallel processing hardware is not too difficult and the results are very impressive, such as solving a 20 000 element problem during a “coffee break”.

Authors and Affiliations

  • Institute for Structural Analysis, Graz University of Technology, Austria

    Gernot Beer, Christian Duenser

  • University of Manchester, UK

    Ian M. Smith

About the authors

Gernot Beer is Professor and head of the Institute for Structural Analysis at the Graz University of Technology. He has been involved in the development, teaching and application of the BEM and the coupled BEM/FEM and has written several texts on the subject. He is the author of the commercial program BEFE and heads the development of its successor BEFE++.

Ian M. Smith is Professor of Engineering at the University of Manchester. He has consulted widely on engineering projects and has written several texts on applied numerical analysis.

Christian Dünser is staff scientist at the Institute for Structural Analysis at the Graz University of Technology. Since his diploma thesis he has been working on the BEM and its application to geotechnical problems, in particular tunnelling.

Bibliographic Information

  • Book Title: The Boundary Element Method with Programming

  • Book Subtitle: For Engineers and Scientists

  • Authors: Gernot Beer, Ian M. Smith, Christian Duenser

  • DOI: https://doi.org/10.1007/978-3-211-71576-5

  • Publisher: Springer Vienna

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer-Verlag Vienna 2008

  • Hardcover ISBN: 978-3-211-71574-1Published: 08 April 2008

  • Softcover ISBN: 978-3-211-99900-4Published: 13 October 2010

  • eBook ISBN: 978-3-211-71576-5Published: 03 September 2008

  • Edition Number: 1

  • Number of Pages: XIV, 498

  • Topics: Mathematical and Computational Engineering, Engineering, general

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