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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24343

Title: Analytical study and numerical experiments for degenerate scale problems in boundary element method using degenerate kernels and circulants
Authors: J.T. Chen;J.H. Lin;S.R. Kuo;Y.P. Chiu
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Boundary elements;Degenerate scale;Circulant;Degenerate kernel
Date: 2001-10
Issue Date: 2011-10-20T08:11:33Z
Publisher: Engineering Analysis with Boundary Elements
Abstract: abstract:For a potential problem, the boundary integral equation approach has been shown to yield a nonunique solution when the geometry is equal to a degenerate scale. In this paper, the degenerate scale problem in boundary element method (BEM) is analytically studied using the degenerate kernels and circulants. For the circular domain problem, the singular problem of the degenerate scale with radius one can be overcome by using the hypersingular formulation instead of the singular formulation. A simple example is shown to demonstrate the failure using the singular integral equations. To deal with the problem with a degenerate scale, a constant term is added to the fundamental solution to obtain the unique solution and another numerical example with an annular region is also considered.
Relation: 25(9), pp.819–828
URI: http://ntour.ntou.edu.tw/handle/987654321/24343
Appears in Collections:[河海工程學系] 期刊論文

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