Adaptive meshless refinement schemes for RBF-PUM collocation

被引：34
作者：
Cavoretto, R. [1 ]
De Rossi, A. [1 ]
机构：
[1] Univ Torino, Dept Math Giuseppe Peano, Via Carlo Alberto 10, I-10123 Turin, Italy
来源：
APPLIED MATHEMATICS LETTERS | 2019年 / 90卷
关键词：
Meshless approximation; REF collocation; Partition of unity methods; Elliptic PDEs; UNITY METHOD; PARTITION; INTERPOLATION; EFFICIENT;
D O I：
10.1016/j.aml.2018.10.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we present an adaptive discretization technique for solving elliptic partial differential equations via a collocation radial basis function partition of unity method. In particular, we propose a new adaptive scheme based on the construction of an error indicator and a refinement algorithm, which used together turn out to be ad-hoc strategies within this framework. The performance of the adaptive meshless refinement scheme is assessed by numerical tests. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：131 / 138
页数：8
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