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The bust image of Erich Trefftz (1888-1937) | ||
Tutorial introduction | 1 | |
Pt. I | Collocation Trefftz method | 31 |
1 | Basic algorithms and theory | 37 |
2 | Motz's problem and its variants | 59 |
3 | Coupling techniques | 83 |
4 | Biharmonic equations with singularities | 117 |
Pt. II | Collocation methods | 135 |
5 | Collocation methods | 139 |
6 | Combinations of collocation and finite element methods | 163 |
7 | Radial basis function collocation methods | 187 |
Pt. III | Advanced topics | 217 |
8 | Combinations with high-order FEMs | 221 |
9 | Eigenvalue problems | 237 |
10 | The Helmholtz equation | 273 |
11 | Explicit harmonic solutions of Laplace's equation | 291 |
App | Historic review of boundary methods | 323 |
References | 369 | |
Glossary of symbols | 393 | |
Index | 397 |
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