The method of fundamental solutions for inhomogeneous elliptic problems

被引：30
|
作者：
Poullikkas, A
Karageorghis, A
Georgiou, G
机构：
[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus
[2] Elect Author Cyprus, CY-6301 Larnax, Cyprus
来源：
COMPUTATIONAL MECHANICS | 1998年 / 22卷 / 01期
关键词：
D O I：
10.1007/s004660050344
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate the use of the Method of Fundamental Solutions (MFS) for solving inhomogeneous harmonic and biharmonic problems. These are transformed to homogeneous problems by subtracting a particular solution of the governing equation. This particular solution is taken to be a Newton potential and the resulting homogeneous problem is solved using the MFS. The numerical calculations indicate that accurate results can be obtained with relatively few degrees of freedom. Two methods for the special case where the inhomogeneous term is harmonic are also examined.
引用
收藏
页码：100 / 107
页数：8
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