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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/46894

Title: Applications of the Modified Trefftz Method for Laplace Equation
Authors: Yung-WeiChen;Chein-ShanLiu;Jiang-RenChang
Contributors: 國立臺灣海洋大學:系統工程暨造船學系
Keywords: Laplace equation;Artificial circle;DtR mapping;Modified Trefftz method;Mixed-boundary value problem;Singular problem
Date: 2009
Issue Date: 2018-06-08T08:44:09Z
Publisher: Engineering Analysis with Boundary Elements
Abstract: Abstract:In this paper, the Laplace problems are solved by using the modified Trefftz method. For discontinuous boundary problem, singular problem, and degenerate scale problem, the conventional Trefftz method encounters the numerical instability owing to rank deficiency and high-order T-complete functions. To overcome these problems, the characteristic length of problem domain and high-order T-complete functions is introduced to obtain a modified Trefftz method, equipping with a characteristic length factor to make sure that this method is stable. Besides, the high-order T-complete functions can be clearly described for the discontinuous boundary conditions. Comparing with the solutions in the previous literature, the present method is powerful even for the problem with complex boundary and with adding random noise on the boundary data. It is also successfully solving the degenerate scale problem, resulting to a highly accurate result never seen before.
Relation: 33(2) pp.137-146
URI: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/46894
Appears in Collections:[系統工程暨造船學系] 期刊論文

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