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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24462

Title: On the equivalence of Trefftz method and method of fundamental solutions for Laplace and biharmonic equations
Authors: J.T. Chen;C.S. Wu;Y.T. Lee;K.H. Chen
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Method of fundamental solutions;Trefftz method;Degenerate scale;Circulant;Condition number
Date: 2007-03
Issue Date: 2011-10-20T08:12:24Z
Publisher: Computers and Mathematics with Applications
Abstract: 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 is interesting to find that the complete set in the Trefftz method for the Laplace and biharmonic problems are embedded in the degenerate kernels of the MFS. The degenerate scale appears using the MFS when the geometrical matrix is singular. The occurring mechanism of the degenerate scale in the MFS is also studied by using circulant. The comparison of accuracy and efficiency of the two methods was addressed.
Relation: 53(6), pp.851-879
URI: http://ntour.ntou.edu.tw/handle/987654321/24462
Appears in Collections:[河海工程學系] 期刊論文

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