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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24291

Title: On the free terms of the dual BEM for the two and three-dimensional Laplace problems
Authors: Jeng-Tzong Chen;Shyh-Rong Kuo;Wei-Chih Chen;Li-Wei Liu
Contributors: NTOU:Department of Harbor and River Engineering
國立臺灣海洋大學:河海工程學系
Keywords: dual boundary integral equations;dual boundary element method;a smooth boundary;free term;Laplace equation
Date: 2000
Issue Date: 2011-10-20T08:11:07Z
Publisher: J. Marine Science and Technology
Abstract: abstract:A dual integral formulation for the Laplace problem with a smooth boundary is derived by using the contour approach surrounding the singularity. It is found that using the contour approach the jump terms come half and half from the free terms in the L and M kernel integrations for the two-dimensional case, which is different from the limiting process by approaching an
interior point to a boundary point where the jump terms come totally from the L kernel only. The definition of the Hadamard principal value for hypersingular integral at the collocation point of a smooth boundary is extended to a generalized sense for both the tangent and normal derivatives of double-layer potentials in comparison with the conventional definition. For the threedimensional case, the jump terms come one-third and two-thirds from the free terms of L and M kernels, respectively.
Relation: 8(1), pp.8-15
URI: http://ntour.ntou.edu.tw/handle/987654321/24291
Appears in Collections:[河海工程學系] 期刊論文

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