An element-free Galerkin method for the obstacle problem

被引：42

作者：

Li, Xiaolin ^{[1
]}

Dong, Haiyun ^{[2
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 400047, Peoples R China

[2] Chongqing Univ, Coll Math & Stat, Chongqing 400044, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2021年 / 112卷

基金：

中国国家自然科学基金;

关键词：

Element-free Galerkin method; Obstacle problem; Nonlinear inequality constraints; Linearization; Convergence;

D O I：

10.1016/j.aml.2020.106724

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An element-free Galerkin (EFG) method is presented for the numerical solution of the obstacle boundary value problem. To deal with the nonlinear inequality governing equations in the problem, a linearization technique is developed. Then, linear boundary value problems are formed and are solved by a stabilized EFG method. Convergence of the presented meshless method is discussed mathematically. Numerical results demonstrate the convergence and efficiency of the method. (c) 2020 Elsevier Ltd. All rights reserved.

引用

页数：7

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