Radial basis functions for solving near singular Poisson problems

被引：20
|
作者：
Chen, CS [1 ]
Kuhn, G
Li, J
Mishuris, G
机构：
[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA
[2] Univ Erlangen Nurnberg, Inst Appl Mech, Nurnberg, Germany
[3] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland
来源：
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2003年 / 19卷 / 05期
关键词：
radial basis functions; near singular problems; dual reciprocity method; method of fundamental solutions; compactly supported radial basis functions; particular solution;
D O I：
10.1002/cnm.593
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we investigate the use of radial basis functions for solving Poisson problems with a near-singular inhomogeneous source term. The solution of the Poisson problem is first split into two parts: near-singular solution and smooth solution. A method for evaluating the near-singular particular solution is examined. The smooth solution is further split into a particular solution and a homogeneous solution. The MPS-DRM approach is adopted to evaluate the smooth solution. Copyright (C) 2003 John Wiley Sons, Ltd.
引用
收藏
页码：333 / 347
页数：15
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