http://scholars.ntou.edu.tw/handle/123456789/1038
標題: | Green's Function Problem of Laplace Equation with Spherical and Prolate Spheroidal Boundaries by Using the Null-Field Boundary Integral Equation | 作者: | Yu-Lung Chang Ying-Te Lee Li-Jie Jiang Jeng-Tzong Chen |
關鍵字: | Laplace equation;degenerate kernel;null-field boundary integral equation;Green's function;prolate spheroid | 公開日期: | 7-三月-2016 | 出版社: | World Scientific | 卷: | 13 | 期: | 5 | 起(迄)頁: | 1650020 | 來源出版物: | International Journal of Computational Methods | 摘要: | A systematic approach of using the null-field integral equation in conjunction with the degenerate kernel and eigenfunction expansion is employed to solve three-dimensional (3D) Green’s functions of Laplace equation. The purpose of using degenerate kernels for interior and exterior expansions is to avoid calculating the principal values. The adaptive observer system is addressed to employ the property of degenerate kernels in the spherical coordinates and in the prolate spheroidal coordinates. After introducing the collocation points on each boundary and matching boundary conditions, a linear algebraic system is obtained without boundary discretization. Unknown coefficients can be easily determined. Finally, several examples are given to demonstrate the validity of the present approach. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/1038 | ISSN: | 1793-6969 | DOI: | 10.1142/s0219876216500201 |
顯示於: | 河海工程學系 |
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