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Topics in Boundary Element Research

Volume 1: Basic Principles and Applications

  • Book
  • © 1984

Overview

Editors:
  1. Carlos A. Brebbia

    1. Department of Civil Engineering, The University, Southampton, England

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Part of the book series: Topics in Boundary Element Research (TBOU, volume 1)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XIII
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  2. Boundary Integral Formulations

    • C. Brebbia, J. J. Connor
    Pages 1-12

  3. A Review of the Theory

    • M. A. Jaswon
    Pages 13-40

  4. Applications in Transient Heat Conduction

    • H. L. G. Pina, J. L. M. Fernandes
    Pages 41-58

  5. Fracture Mechanics Application in Thermoelastic States

    • M. Tanaka, H. Togoh, M. Kikuta
    Pages 59-77

  6. Applications of Boundary Element Methods to Fluid Mechanics

    • J. A. Liggett, P. L.-F. Liu
    Pages 78-96

  7. Water Waves Analysis

    • M. C. Au, C. A. Brebbia
    Pages 97-122

  8. Interelement Continuity in the Boundary Element Method

    • C. Patterson, M. A. Sheikh
    Pages 123-141

  9. Applications in Geomechanics

    • W. S. Venturini, C. A. Brebbia
    Pages 142-169

  10. Applications in Mining

    • G. Beer, J. L. Meek
    Pages 170-203

  11. Finite Deflection of Plates

    • N. Kamiya, Y. Sawaki
    Pages 204-224

  12. Trefftz Method

    • Ismael Herrera
    Pages 225-253

  13. Back Matter

    Pages 255-258
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Civil Engineering, The University, Southampton, England

    Carlos A. Brebbia

Bibliographic Information

  • Book Title: Topics in Boundary Element Research

  • Book Subtitle: Volume 1: Basic Principles and Applications

  • Editors: Carlos A. Brebbia

  • Series Title: Topics in Boundary Element Research

  • DOI: https://doi.org/10.1007/978-1-4899-2877-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1984

  • Softcover ISBN: 978-0-387-13097-2Published: 01 January 1984

  • eBook ISBN: 978-1-4899-2877-1Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: XIII, 258

  • Number of Illustrations: 23 b/w illustrations

  • Topics: Electrical Engineering, Engineering, general, Classical Mechanics

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