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.
Preface
Part I : The Direct Boundary Element Method
Chapter 1. : Introduction
Chapter 2. : Mathematical Preliminaries
Chapter 3. : Continuum Physics
Chapter 4. : Boundary Element Method for Potential Problems
Chapter 5. : Boundary Element Method for Elastic Continua
Chapter 6. : Numerical Integration
Part II : The Dual Reciprocity Method
Chapter 7. : DRM for Potential Problems and Elastodynamics
Chapter 8. : Solution of the Equations of Motion
Chapter 9. : Dynamic Piezoelectricity
Chapter 10. : Coupled Thermoelasticity
Part III : Hybrid Boundary Element Methods
Chapter 11. : Variational Principles of Continuum Mechanics
Chapter 12. : The Hybrid Displacement Method
Chapter 13. : The Hybrid Stress Method for Acoustics
Chapter 14. : The Hybrid Boundary Element Method in Time Domain
Part IV : Appendices
A : Properties of Elastic Materials
B : Fundamental Solutions
C : Particular Solutions
D : The Bott-Duffin Inverse
References
Index
