Direct and indirect boundary integral equation methods /
The computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques. In relatively simple terms, this book describes a class of techniqu...
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| Format: | eBook |
| Language: | English |
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Boca Raton :
Chapman & Hall/CRC,
©2000.
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| Series: | Chapman & Hall/CRC monographs and surveys in pure and applied mathematics ;
107. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Ch. 1. The Laplace Equation. 1.1. Notation and prerequisites. 1.2. The fundamental boundary value problems. 1.3. Green's formulae. 1.4. Uniqueness theorems. 1.5. The harmonic potentials. 1.6. Properties of the boundary operators. 1.7. The classical indirect method. 1.8. The alternative indirect method. 1.9. The modified indirect method. 1.10. The refined indirect method. 1.11. The direct method. 1.12. The substitute direct method
- Ch. 2. Plane Strain. 2.1. Notation and prerequisites. 2.2. The fundamental boundary value problems. 2.3. The Betti and Somigliana formulae. 2.4. Uniqueness theorems. 2.5. The elastic potentials. 2.6. Properties of the boundary operators. 2.7. The classical indirect method.