ON THE FINITE ELEMENT APPROXIMATION OF VARIATIONAL INEQUALITIES WITH NONCOERCIVE OPERATORS

被引：8
|
作者：
Boulbrachene, Messaoud [1 ]
机构：
[1] Sultan Qaboos Univ, Dept Math & Stat, Muscat 123, Oman
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2015年 / 36卷 / 09期
关键词：
Bensoussan-Lions algorithm; Finite elements; L; -error estimate; Subsolution; Variational inequalities; 65N30; 65N15; ERROR ESTIMATE;
D O I：
10.1080/01630563.2015.1056913
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we introduce a new method to analyze the convergence of the standard finite element method for variational inequalities with noncoercive operators. We derive an optimal L error estimate by combining the Bensoussan-Lions algorithm with the concept of subsolutions.
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页码：1107 / 1121
页数：15
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