https://scholars.lib.ntu.edu.tw/handle/123456789/624864
標題: | On the free terms of the dual BEM for the two and three-dimensional Laplace problems | 作者: | Chen J.-T Kuo S.-R Chen W.-C Liu L.-W. LI-WEI LIU |
關鍵字: | A smooth boundary; Dual boundary element method; Dual boundary integral equations; Free term; Laplace equation | 公開日期: | 2000 | 卷: | 8 | 期: | 1 | 起(迄)頁: | 8-15 | 來源出版物: | Journal of Marine Science and Technology | 摘要: | 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 three-dimensional case, the jump terms come one-third and two-thirds from the free terms of L and M kernels, respectively. |
URI: | https://www.scopus.com/inward/record.uri?eid=2-s2.0-0346979260&partnerID=40&md5=fdc5aa658db7708d63f9a36b84a6bc57 https://scholars.lib.ntu.edu.tw/handle/123456789/624864 |
ISSN: | 10232796 | SDG/關鍵字: | Boundary conditions; Integral equations; Problem solving; Three dimensional; Vectors; A smooth boundary; Dual boundary element methods; Dual boundary integral equations; Free terms; Laplace equations; Laplace transforms |
顯示於: | 土木工程學系 |
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