Regularized meshless method for multiply-connected-domain Laplace problems

被引：57
作者：
Chen, K. H. [1 ]
Kao, J. H.
Chen, J. T.
Young, D. L.
Lu, M. C.
机构：
[1] Toko Univ, Dept Informat Management, Chiayi 61363, Taiwan
[2] Natl Taiwan Ocean Univ, Dept Harbor & River Engn, Chilung 20224, Taiwan
[3] Natl Taiwan Univ, Dept Civil Engn, Taipei 10673, Taiwan
[4] Natl Taiwan Univ, Hydrotech Res Inst, Taipei 10673, Taiwan
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2006年 / 30卷 / 10期
关键词：
regularized meshless method; subtracting and adding-back technique; singularity; hypersingularity; multiply-connected problem; method of fundamental solutions; double-layer potential;
D O I：
10.1016/j.enganabound.2006.06.005
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the regularized meshless method (RMM) is developed to solve two-dimensional Laplace problem with multiply-connected domain. The solution is represented by using the double-layer potential. The source points can be located on the physical boundary by using the proposed technique to regularize the singularity and hypersingularity of the kernel functions. The troublesome singularity in the traditional methods is avoided and the diagonal terms of influence matrices are easily determined. The accuracy and stability of the RMM are verified in numerical experiments of the Dirichlet, Neumann, and mixed-type problems under a domain having multiple holes. The method is found to perform pretty well in comparison with the boundary element method. (C) 2006 Elsevier Ltd. All rights reserved.
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页码：882 / 896
页数：15
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