Adaptive residual subsampling methods for radial basis function interpolation and collocation problems

被引：111
|
作者：
Driscoll, Tobin A. [1 ]
Heryudono, Alfa R. H. [1 ]
机构：
[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 53卷 / 06期
关键词：
adaptive; radial basis functions; interpolation; collocation; residual subsampling;
D O I：
10.1016/j.camwa.2006.06.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct a new adaptive algorithm for radial basis functions (RBFs) method applied to interpolation, boundary-value, and initial-boundary-value problems with localized features. Nodes can be added and removed based on residuals evaluated at a finer point set. We also adapt the shape parameters of RBFs based on the node spacings to prevent the growth of the conditioning of the interpolation matrix. The performance of the method is shown in numerical examples in one and two space dimensions with nontrivial domains. (c) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：927 / 939
页数：13
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