Convergence rate to elliptic variational inequalities of the second kind by relaxation method

被引：5

作者：

Xue, L ^{[1
]}

Cheng, XL ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310028, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 04期

基金：

中国国家自然科学基金;

关键词：

convergence rate; relaxation method; variational inequalities of the second kind;

D O I：

10.1016/S0893-9659(04)90083-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with convergence rate of a relaxation method for solving a simplified friction problem formulated as a variational inequality of the second kind. We establish a model of friction problem and approximate it by the finite element method. To solve the discrete problem, a relaxation method is used. We prove the convergence of this algorithm and obtain convergence rate. It is shown that convergence rate is only dependent on the coefficient matrix of the bilinear form, not dependent on the coefficient vector of nondifferential term and the vector of load force. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：417 / 422

页数：6

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