The method of fundamental solutions for elliptic boundary value problems

被引:854
作者
Fairweather, G
Karageorghis, A
机构
[1] Colorado Sch Mines, Dept Math & Comp Sci, Golden, CO 80401 USA
[2] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus
关键词
elliptic boundary value problems; fundamental solutions; nonlinear least squares; boundary collocation;
D O I
10.1023/A:1018981221740
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to describe the development of the method of fundamental solutions (MFS) and related methods over the last three decades. Several applications of MFS-type methods are presented. Techniques by which such methods are extended to certain classes of non-trivial problems and adapted for the solution of inhomogeneous problems are also outlined.
引用
收藏
页码:69 / 95
页数:27
相关论文
共 121 条
[91]  
MURASHIMA S, 1983, BOUNDARY ELEMENTS, V5, P75
[92]  
MURASHIMA S, 1987, BOUNDARY ELEMENTS, V8, P621
[93]  
Niwa Y., 1974, Memoirs of the Faculty of Engineering, Kyoto University, V36, P140
[94]  
PAO YH, 1975, HUYGENS PRINCIPLE RA
[95]  
Partridge PM, 1992, Dual Reciprocity Boundary Element Method, DOI 10.1007/978-94-011-2876-6
[96]  
Patterson C., 1982, BOUNDARY ELEMENT MET, P43
[97]  
PATTERSON C, 1981, BOUNDARY ELEMENT MET, P85
[98]   Methods of fundamental solutions for harmonic and biharmonic boundary value problems [J].
Poullikkas, A ;
Karageorghis, A ;
Georgiou, G .
COMPUTATIONAL MECHANICS, 1998, 21 (4-5) :416-423
[99]   The method of fundamental solutions for Signorini problems [J].
Poullikkas, A ;
Karageorghis, A ;
Georgiou, G .
IMA JOURNAL OF NUMERICAL ANALYSIS, 1998, 18 (02) :273-285
[100]  
POULLIKKAS A, IN PRESS COMPUT MECH