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

页码：29 / 44

页数：16

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