http://scholars.ntou.edu.tw/handle/123456789/20907
Title: | Solution of Poissons equation by iterative DRBEM using compactly supported, positive definite radial basis function | Authors: | A.H.-D. Cheng D.L. Young Chia-Cheng Tsai |
Keywords: | Boundary element method;Dual reciprocity boundary element method;Radial basis function;Iterative method;Poissons equation | Issue Date: | Sep-2000 | Journal Volume: | 24 | Start page/Pages: | 549-557 | Source: | Engineering Analysis with Boundary Elements | Abstract: | In the numerical solution of three-dimensional boundary value problems, the matrix size can be so large that it is beyond a computers capacity to solve it. To overcome this difficulty, an iterative dual reciprocity boundary element method (DRBEM) is developed to solve Poissons equation without the need of assembling a matrix. The DRBEM procedure requires that the right hand side of Poissons equation be approximated by a radial basis function interpolation. In the iterative solution, it is found that only compactly supported, positive definite radial basis functions lead to converged results. |
URI: | http://scholars.ntou.edu.tw/handle/123456789/20907 | DOI: | 10.1016/S0955-7997(00)00035-7 |
Appears in Collections: | 海洋工程科技學士學位學程(系) |
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