Boundary Element Methods for Engineers and Scientists: An Introductory Course with Advanced Topics

✍ Scribed by Prof. Dr.-Ing. habil. Lothar Gaul, Dr.-Ing. Martin Kögl, Dr.-Ing. Marcus Wagner (auth.)

Publisher: Springer-Verlag Berlin Heidelberg
Year: 2003
Tongue: English
Leaves: 491
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Front Matter....Pages I-XV
Front Matter....Pages 1-1
Introduction....Pages 3-21
Mathematical Preliminaries....Pages 23-34
Continuum Physics....Pages 35-94
Boundary Element Method for Potential Problems....Pages 95-140
Boundary Element Method for Elastic Continua....Pages 141-173
Numerical Integration....Pages 175-204
Front Matter....Pages 205-205
Dual Reciprocity Method for Potential Problems and Elastodynamics....Pages 207-225
Solution of the Equations of Motion....Pages 227-254
Dynamic Piezoelectricity....Pages 255-261
Coupled Thermoelasticity....Pages 263-279
Front Matter....Pages 281-281
Variational Principles of Continuum Mechanics....Pages 283-295
The Hybrid Displacement Method....Pages 297-350
The Hybrid Stress Method for Acoustics....Pages 351-398
The Hybrid Boundary Element Method in Time Domain....Pages 399-428
Front Matter....Pages 429-429
Properties of Elastic Materials....Pages 431-431
Fundamental Solutions....Pages 433-453
Particular Solutions....Pages 455-460
The Bott-Duffin Inverse....Pages 461-462
Back Matter....Pages 463-488

✦ Subjects

Theoretical and Applied Mechanics; Computational Intelligence; Numerical Analysis

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