Error estimates of the weakly over-penalized symmetric interior penalty method for two variational inequalities

被引：18
作者：
Zeng, Yuping [1 ]
Chen, Jinru [2 ]
Wang, Feng [2 ]
机构：
[1] Flaying Univ, Sch Math, Meizhou 514015, Peoples R China
[2] Nanjing Normal Univ, Sch Math Sci, Jiangsu Key Lab NSLSCS, Nanjing 210023, Jiangsu, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2015年 / 69卷 / 08期
关键词：
Signorini problem; Obstacle problem; Interior penalty method; Weakly over-penalization; A priori error estimate; DISCONTINUOUS GALERKIN METHODS; FINITE-ELEMENT APPROXIMATION; ELLIPTIC OBSTACLE PROBLEMS; SIGNORINI PROBLEM;
D O I：
10.1016/j.camwa.2015.02.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we apply the weakly over-penalized symmetric interior penalty method to solve some variational inequalities which include the Signorini problem and the obstacle problem. Optimal a priori error estimates in energy norm are derived. Some numerical tests are provided to confirm our theoretical analysis. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：760 / 770
页数：11
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