Optimal L∞-error estimate for variational inequalities with nonlinear source terms

被引：8
|
作者：
Boulbrachene, M [1 ]
机构：
[1] Sultan Qaboos Univ, Dept Math, Coll Sci, Muscat 123, Oman
来源：
APPLIED MATHEMATICS LETTERS | 2002年 / 15卷 / 08期
关键词：
variational inequalities; nonlinear source term; finite element; L-infinity-stability; L-infinity-error estimate;
D O I：
10.1016/S0893-9659(02)00078-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish optimal L-infinity-error estimate for a class of variational inequalities (VIs) with nonlinear source term, using a very simple argument mainly based on the discrete L-infinity-stability property with respect to the right-hand side in elliptic VIs. We also show that the same approach extends to the corresponding noncoercive problems and optimal uniform convergence order is obtained as well. (C) 2002 Elsevier Science Ltd. All rights reserved.
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页码：1013 / 1017
页数：5
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