Trefftz And Collocation Methods
by Li, Z. C.; Lu, T. T.; Hu, H. Y.; Cheng, A. H. D.Format: Hardcover
Pub. Date: 2008-02-22
Publisher(s): Computational Mechanics
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Summary
This text discusses several types of collocation methods including the radial basis function method, the Trefftz method, the Schwartz alternating method, and the coupled collocation and finite element method.
Table of Contents
| The bust image of Erich Trefftz (1888-1937) | |
| Tutorial introduction | p. 1 |
| Collocation Trefftz method | p. 31 |
| Basic algorithms and theory | p. 37 |
| Motz's problem and its variants | p. 59 |
| Coupling techniques | p. 83 |
| Biharmonic equations with singularities | p. 117 |
| Collocation methods | p. 135 |
| Collocation methods | p. 139 |
| Combinations of collocation and finite element methods | p. 163 |
| Radial basis function collocation methods | p. 187 |
| Advanced topics | p. 217 |
| Combinations with high-order FEMs | p. 221 |
| Eigenvalue problems | p. 237 |
| The Helmholtz equation | p. 273 |
| Explicit harmonic solutions of Laplace's equation | p. 291 |
| Historic review of boundary methods | p. 323 |
| References | p. 369 |
| Glossary of symbols | p. 393 |
| Index | p. 397 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
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