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Mathematical and Computational Aspects

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. C. A. Brebbia
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  2. W. L. Wendland
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  3. G. Kuhn
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Part of the book series: Boundary Elements (BOUNDARY, volume 9/1)

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Table of contents (40 papers)

  1. Front Matter

    Pages i-xvi
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  2. The Origin of the Boundary Element Method and its Variants (Opening address)

    1. The Origin of the Boundary Element Method and its Variants (Opening address)

      • C. E. Massonnet, P. Morelle
      Pages 1-10

  3. Mathematical Aspects

    1. Front Matter

      Pages 11-11
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    2. Green’s Functions for the Boundary Element Method (Invited contribution)

      • D. L. Clements
      Pages 13-20

    3. Best Approximation of a Linear Operation Equation (Invited contribution)

      • T. V. Hromadka II
      Pages 21-42

    4. On the Identification of Non-Linear Operators and its Application (Invited contribution)

      • V. L. Makarov, V. V. Khlobystov
      Pages 43-58

    5. Boundary Integral Equation Methods for Canonical Problems in Diffraction Theory (Invited contribution)

      • E. Meister, F.-O. Speck
      Pages 59-77

    6. Methods of Construction of Fundamental Solutions of Decomposable Linear Differential Operators (Invited contribution)

      • N. Ortner
      Pages 79-97

    7. A Generalized Approach to Transfer the Domain Integrals onto Boundary Ones for Potential Problems in BEM

      • W. Tang, C. A. Brebbia, J. C. F. Telles
      Pages 99-116

    8. The Hybrid Boundary Element Method

      • N. A. Dumont
      Pages 117-130

    9. New Integral Equation Formulations for Continuum Mechanics

      • N. Tosaka
      Pages 131-142

    10. Analyses of Infinite Reservoir Using the Boundary Element Method with Particular Integrals

      • C-S. Tsai, G. C. Lee
      Pages 143-164

  4. Convergence and Error Estimates

    1. Front Matter

      Pages 165-165
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    2. Experimental Convergence of Boundary Element Methods for the Capacity of the Electrified Square Plate

      • V. J. Ervin, E. P. Stephan
      Pages 167-175

    3. On the Stability of Boundary Element Methods for Integral Equations of the First Kind

      • G. C. Hsiao
      Pages 177-191

    4. On Quadrature Methods and Spline Approximation of Singular Integral Equations

      • S. Prössdorf, A. Rathsfeld
      Pages 193-211

    5. Significance of Kernel Singularities for the Numerical Solution of Fredholm Integral Equations

      • H. Niessner
      Pages 213-227

    6. Accuracy and Efficiency of a Panel Method for Free Surface Flow Problems in Three Dimensions

      • J. E. Romate
      Pages 229-240

    7. A-Posteriori Error Estimates and Adaptive Approaches for some Boundary Element Methods

      • De-hao Yu
      Pages 241-256

  5. Numerical Aspects

    1. Front Matter

      Pages 257-257
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Keywords

About this book

This book contains the edited versions of most of the papers presented at the 9th International Conference on Boundary Elements held at the University of Stuttgart, Germany from August 31st to September 4th, 1987, which was organized in co-operation with the Computational Mechanics Institute and GAMM (Society for Applied Mathematics and Mechanics). This Conference, as the previous ones, aimed to review the latest developments in technique and theory and point out new advanced future trends. The emphasis of the meeting was on the engineering advances versus mathematical formulations, in an effort to consolidate the basis of many new applications. Recently engineers have proposed different techniques to solve non-linear and time dependent problems and many of these formulations needed a better mathematical understanding. Furthermore, new approximate formulations have been proposed for boundary elements which appeared to work in engineering practice, but did not have a proper theoretical background. The Conference also discussed the engineering applications of the method and concentrated on a link between BEM practitioners, industrial users and researchers working on the latest development of the method. The editors would like to express their appreciation and thanks to Ms. Liz Newman and Mr. H. Schmitz for their unstinting work in the preparation of the Conference.

Bibliographic Information

  • Book Title: Mathematical and Computational Aspects

  • Editors: C. A. Brebbia, W. L. Wendland, G. Kuhn

  • Series Title: Boundary Elements

  • DOI: https://doi.org/10.1007/978-3-662-21908-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1987

  • Softcover ISBN: 978-3-662-21910-2Published: 20 November 2013

  • eBook ISBN: 978-3-662-21908-9Published: 21 November 2013

  • Edition Number: 1

  • Number of Pages: XVI, 607

  • Number of Illustrations: 104 b/w illustrations

  • Additional Information: Jointly published with the Computational Mechanics Centre

  • Topics: Mathematical and Computational Engineering, Classical Mechanics

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