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.

引用

页码：1107 / 1121

页数：15

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