Analysis of the element-free Galerkin method for Signorini problems

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 AND COMPUTATION | 2019年 / 346卷
基金：
中国国家自然科学基金;
关键词：
Element-free Galerkin method; Signorini problem; Projection iterative algorithm; Convergence; FUNDAMENTAL-SOLUTIONS; NUMERICAL-SOLUTION; PROJECTION METHODS; SUPERCONVERGENCE; APPROXIMATION; CONVERGENCE; 2D;
D O I：
10.1016/j.amc.2018.10.053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An efficient element-free Galerkin (EFG) method is developed to solve Signorini boundary value problems. The nonlinear inequality Signorini boundary conditions are reduced to a sequence of linear boundary conditions by using a projection iterative scheme. Then, the EFG method is used to deduce discrete system equations. Convergence of the proposed method is discussed. Numerical examples are finally provided to verify the convergence and high computational accuracy of the method. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：41 / 56
页数：16
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