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Please use this identifier to cite or link to this item: http://ntour.ntou.edu.tw:8080/ir/handle/987654321/24617

Title: Construction of Green's function using null-field integral approach for Laplace problems with circular boundaries
Authors: Jeng-Tzong Chen;Jia-Nan Ke;Huan-Zhen Liao
Contributors: NTOU:Department of Harbor and River Engineering
國立臺灣海洋大學:河海工程學系
Keywords: degenerate kernel;Fourier series;Green's function;null-field approach and Poisson integral formula
Date: 2009
Issue Date: 2011-10-20T08:13:20Z
Publisher: Computers, Materials, & Continua
Abstract: abstract:A null-field approach is employed to derive the Green's function for boundary value problems stated for the Laplace equation with circular boundaries. The kernel function and boundary density are expanded by using the degenerate kernel and Fourier series, respectively. Series-form Green's function for interior and exterior problems of circular boundary are derived and plotted in a good agreement with the closed-form solution. The Poisson integral formula is extended to an annular case from a circle. Not only an eccentric ring but also a half-plane problem with an aperture are demonstrated to see the validity of the present approach. Besides, a half-plane problem with a circular hole subject to Dirichlet and Robin boundary conditions and a half-plane problem with a circular hole and a semi-circular inclusion are solved. Good agreement is made after comparing with the Melnikov's results.
Relation: 9(2), pp.93-110
URI: http://ntour.ntou.edu.tw/handle/987654321/24617
Appears in Collections:[河海工程學系] 期刊論文

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