Trefftz and Collocation Methods

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Subdomain radial basis collocation method for fracture mechanics (2010, methodology): “If the particular solutions are used as the admissible functions, this leads to the collocation Trefftz method [31, 33], and there exist exponential convergence rates as well.”
Equivalence between the Trefftz method and the method of fundamental solution for the annular Green's function using the addition theorem and image concept. (2009, unknown): “(19) and (20) can be simplified to pm p̄m ( ) ¼ bm 1½bmðRz=bÞm amða=RzÞm ðb2m a2mÞp bm½bmða=RzÞm amðRz=bÞm aðb2m a2mÞp 8>>< >>: 9>>= >>; ; m ¼ 1;2;3; . . . , (23) RO O 95 97 99 101 103 refftz method and the method of fundamental solution for the abound.2008.10.003 1…”