On the equivalence of the Trefftz method and method of fundamental solutions for Laplace and biharmonic equations

Abstract

In this paper, it is proved that the two approaches, known in the literature as the method of fundamental solutions (MFS) and the Trefftz method, are mathematically equivalent in spite of their essentially minor and apparent differences in formulation. In deriving the equivalence of the Trefftz method and the MFS for the Laplace and biharmonic problems, it… (More)
DOI: 10.1016/j.camwa.2005.02.021

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