Localized Radial Basis Functions with Partition of Unity Properties

被引：0
|
作者：
Chen, Jiun-Shyan [1 ]
Hu, Wei [1 ]
Hu, Hsin-Yun [2 ]
机构：
[1] Univ Calif Los Angeles, Dept Civil & Environm Engn, Los Angeles, CA 90095 USA
[2] Tunghai Univ, Dept Math, Taichung, Taiwan
来源：
PROGRESS ON MESHLESS METHODS | 2009年 / 11卷
关键词：
Radial basis functions; Local Radial Basis Functions; Partition of the Unity; DIFFERENTIAL-EQUATIONS; COLLOCATION METHODS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce a localization of radial basis function (RBF) under the general framework of partition of unity. A reproducing kernel that reproduces polynomials is used as the localizing function of RBF. It is shown that the proposed approach yields a similar convergence to that of the non localized RBF, while a better conditioned discrete system than that of the radial basis collocation method is achieved. Analyses of error and stability of the proposed method for solving boundary value problems are presented. Numerical examples are given to demonstrate the effectiveness of the proposed method.
引用
收藏
页码：37 / +
页数：3
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