A linear least-squares MFS for certain elliptic problems

被引：17
|
作者：
Smyrlis, YS [1 ]
Karageorghis, A [1 ]
机构：
[1] Univ Cyprus, Dept Math & Stat, CY-1678 Nicosia, Cyprus
来源：
NUMERICAL ALGORITHMS | 2004年 / 35卷 / 01期
关键词：
method of fundamental solutions; linear least-squares method; boundary meshless methods; elliptic boundary value problems;
D O I：
10.1023/B:NUMA.0000016581.85429.8d
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Method of Fundamental Solutions (MFS) is a boundary-type meshless method for the solution of certain elliptic boundary value problems. In this work, we propose an efficient algorithm for the linear least-squares version of the MFS, when applied to the Dirichlet problem for certain second order elliptic equations in a disk. Various aspects of the method are discussed and a comparison with the standard MFS is carried out. Numerical results are presented.
引用
收藏
页码：29 / 44
页数：16
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