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

页码：131 / 138

页数：8

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