Particular solutions of 3D Helmholtz-type equations using compactly supported radial basis functions

被引：50
作者：
Golberg, MA
Chen, CS
Ganesh, M
机构：
[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA
[2] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2000年 / 24卷 / 7-8期
关键词：
Helmholtz-type equations; radial basis functions; fundamental solution; particular solution;
D O I：
10.1016/S0955-7997(00)00034-5
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper we show how to obtain analytic particular solutions for inhomogeneous Helmholtz-type equations in 3D when the source terms are compactly supported radial basis functions (CS-RBFs) (J. Approx. Theory, 93 (1998) 258). Using these particular solutions we demonstrate the solvability of boundary value problems for the inhomogeneous Helmholtz-type equation by approximating the source term by CS-RBFs and solving the resulting homogeneous equation by the method of fundamental solutions. The proposed technique is a truly mesh-free method and is especially attractive for large-scale industrial problems. A numerical example is given which illustrates the efficiency of the proposed method. (C) 2000 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：539 / 547
页数：9
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