On the use of radial basis functions in the solution of elliptic boundary value problems

被引：26

作者：

Coleman, CJ

机构：

[1] High Frequency Radar Division, Defence Science and Technology Organisation, Salisbury

来源：

COMPUTATIONAL MECHANICS | 1996年 / 17卷 / 06期

关键词：

D O I：

10.1007/BF00363985

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A numerical technique for solving elliptic boundary value problems is developed. The method expands the solution in terms of radial basis functions and chooses expansion coefficients such that the governing equations and boundary conditions are approximately satisfied. The method is demonstrated through its application to some non-trivial problems involving the Laplace and biharmonic equations.

引用

页码：418 / 422

页数：5