An element-free Galerkin method for the obstacle problem

被引：39
|
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.
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页数：7
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