An Adaptive Refinement Scheme for Radial Basis Function Collocation

被引：0
|
作者：
Cavoretto, Roberto [1 ]
De Rossi, Alessandra [1 ]
机构：
[1] Univ Torino, Dept Math Giuseppe Peano, Via Carlo Alberto 10, I-10123 Turin, Italy
来源：
NUMERICAL COMPUTATIONS: THEORY AND ALGORITHMS, PT I | 2020年 / 11973卷
关键词：
Meshfree methods; Adaptive algorithms; Refinement techniques; Elliptic PDEs;
D O I：
10.1007/978-3-030-39081-5_3
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we present an adaptive refinement algorithm for solving elliptic partial differential equations via a radial basis function (RBF) collocation method. The adaptive scheme is based on the use of an error indicator, which is characterized by the comparison of two RBF collocation solutions evaluated on a coarser set and a finer one. This estimate allows us to detect the domain parts that need to be refined by adding points in the selected areas. Numerical results support our study and point out the effectiveness of our algorithm.
引用
收藏
页码：19 / 26
页数：8
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