Discontinuous Galerkin Finite Element Method for a Nonlinear Boundary Value Problem

被引：0
|
作者：
Tie ZHANG [1 ]
Jian-Bao LI [1 ]
机构：
[1] Department of Mathematics,Northeastern University
来源：
Acta Mathematicae Applicatae Sinica | 2014年 / 02期
基金：
中国国家自然科学基金;
关键词：
variational inequality; DG method; optimal error estimate; a posteriori error analysis;
D O I：
暂无
中图分类号：
O241.82 [偏微分方程的数值解法];
学科分类号：
070102 ;
摘要：
In this paper,we investigate the a priori and a posteriori error estimates for the discontinuous Galerkin finite element approximation to a regularization version of the variational inequality of the second kind.We show the optimal error estimates in the DG-norm(stronger than the H1norm)and the L2norm,respectively.Furthermore,some residual-based a posteriori error estimators are established which provide global upper bounds and local lower bounds on the discretization error.These a posteriori analysis results can be applied to develop the adaptive DG methods.
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页码：521 / 532
页数：12
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