A note on the meshless method using radial basis functions

被引：30
作者：
Duan, Yong [1 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 55卷 / 01期
关键词：
radial basis function; inverse inequalities; collocation method; Galerkin method; meshless;
D O I：
10.1016/j.camwa.2007.03.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove some inverse inequalities for the finite dimensional subspace interpolated by radial basis functions. The properties of these inequalities are worse than those in finite element spaces. These bad properties result in a huge condition number for both the collocation method and Galerkin method using radial basis functions. As applications, theoretical estimates of the condition numbers of a meshless method using radial basis functions are given. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：66 / 75
页数：10
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