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

页码：333 / 347

页数：15

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