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

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 flu...

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Bibliographic Details
Main Authors: Gaul, Lothar, Kögl, Martin (Author), Wagner, Marcus (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2003, 2003
Edition:1st ed. 2003
Subjects:
Mechanics, Applied
Engineering Mathematics
Numerical Analysis
Mathematical Analysis
Computational Intelligence
Engineering Mechanics
Analysis
Engineering / Data Processing
Applications Of Mathematics
Mathematics
Mathematical And Computational Engineering Applications
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I. The Direct Boundary Element Method
  • 1. Introduction
  • 2. Mathematical Preliminaries
  • 3. Continuum Physics
  • 4. Boundary Element Method for Potential Problems
  • 5. Boundary Element Method for Elastic Continua
  • 6. Numerical Integration
  • II. The Dual Reciprocity Method
  • 7. DRM for Potential Problems and Elastodynamics
  • 8. Solution of the Equations of Motion
  • 9. Dynamic Piezoelectricity
  • 10. Coupled Thermoelasticity
  • III. Hybrid Boundary Element Methods
  • 11. Variational Principles of Continuum Mechanics
  • 12. The Hybrid Displacement Method
  • 13. The Hybrid Stress Method for Acoustics
  • 14. The Hybrid Boundary Element Method in Time Domain
  • IV. Appendices
  • A. Properties of Elastic Materials
  • B. Fundamental Solutions
  • C. Particular Solutions
  • D. The Bott-Duffin Inverse
  • References

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