Trefftz And Collocation Methods

by Li, Z. C.; Lu, T. T.; Hu, H. Y.; Cheng, A. H. D.

• ISBN13: 9781845641535
• ISBN10: 1845641531
• Format: Hardcover
• Copyright: 2008-02-22
• Publisher: Computational Mechanics

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.