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Boundary Element Methods for Engineers and Scientists
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Boundary Element Methods for Engineers and Scientists

Boundary Element Methods for Engineers and Scientists

L. Gaul, M. Kogl, M. Wagner

504 pages, parution le 10/03/2003

Résumé

This introductory course on the classical Boundary Element Method also contains advanced topics such as the Dual Reciprocity and the Hybrid Boundary Element Methods. The latter methods are extensions that permit the application of BME to anisotropic materials, as well as multi-field problems and fluid-structure interaction. The class-tested textbook offers a clear and easy-to-understand introduction to the subject, including worked-out examples that describe all the basic features of the method. The first two chapters not only establish the mathematical basis for BEM but also review the basics of continuum mechanics for field problems, perhaps a unique feature for a text on numerical methods. This helps the reader to understand the physical principles of the field problems, to apply the method judiciously, and toe critically evaluate the results.

Contents

The Direct Boundary Element Method
  • Introduction
  • Mathematical Preliminaries
  • Continuum Physics
  • Boundary Element Method for Potential Problems
  • Boundary Element Method for Elastic Continua
  • Numerical Integration
The Dual Reciprocity Method
  • DRM for Potential Problems and Elastodynamics
  • Solution of the Equations of Motion
  • Dynamic Piezoelectricity
  • Coupled Thermoelasticity
Hybrid Boundary Element Methods
  • Variational Principles of Continuum Mechanics
  • The Hybrid Displacement Method
  • The Hybrid Stress Method for Acoustics
  • The Hybrid Boundary Element Method in Time Domain
Appendices
  • Properties of Elastic Materials
  • Fundamental Solutions
  • Particular Solutions
  • The Bott-Duffin Inverse

L'auteur - L. Gaul

University of Stuttgart, Germany

L'auteur - M. Kogl

University of Stuttgart, Germany;

L'auteur - M. Wagner

University of Stuttgart, Germany

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) L. Gaul, M. Kogl, M. Wagner
Parution 10/03/2003
Nb. de pages 504
Format 16 x 24
Couverture Relié
Poids 830g
Intérieur Noir et Blanc
EAN13 9783540004639

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