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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24313

Title: Dual boundary integral equations for exterior problems
Authors: J.T. Chen;M.T. Liang;S.S. Yang
Contributors: NTOU:Department of Harbor and River Engineering
Keywords: Dual boundary integral equations;dual boundary element method;regularized method;exterior problem
Date: 1995-12
Issue Date: 2011-10-20T08:11:17Z
Publisher: Engineering Analysis with Boundary Elements
Abstract: abstract:A dual integral formulation for the interior problem of the Laplace equation with a smooth boundary is extended to the exterior problem. Two regularized versions are proposed and compared with the interior problem. It is found that an additional free term is present in the second regularized version of the exterior problem. An analytical solution for a benchmark example in ISBE is derived by two methods, conformal mapping and the Poisson integral formula using symbolic software. The potential gradient on the boundary is calculated by using the hypersingular integral equation except on the two singular points where the potential is discontinuous instead of failure in ISBE benchmarks. Based on the matrix relations between the interior and exterior problems, the BEPO2D program for the interior problem can be easily reintegrated. This benchmark example was used to check the validity of the dual integral formulation, and the numerical results match the exact solution well.
Relation: 16(4), pp.333–340
URI: http://ntour.ntou.edu.tw/handle/987654321/24313
Appears in Collections:[河海工程學系] 期刊論文

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