A Remark on the A Posteriori Error Analysis of Discontinuous Galerkin Methods for the Obstacle Problem

被引：14

作者：

Gudi, Thirupathi ^{[1
]}

Porwal, Kamana ^{[1
]}

机构：

[1] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India

来源：

COMPUTATIONAL METHODS IN APPLIED MATHEMATICS | 2014年 / 14卷 / 01期

关键词：

Finite Element; Discontinuous Galerkin; A Posteriori Error Estimate; Obstacle Problem; Variational Inequalities; FINITE-ELEMENT-METHOD; APPROXIMATION; CONVERGENCE; ESTIMATORS;

D O I：

10.1515/cmam-2013-0015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We revisit the a posteriori error analysis of discontinuous Galerkin methods for the obstacle problem derived in [25]. Under a mild assumption on the trace of obstacle, we derive a reliable a posteriori error estimator which does not involve min/max functions. A key in this approach is an auxiliary problem with discrete obstacle. Applications to various discontinuous Galerkin finite element methods are presented. Numerical experiments show that the new estimator obtained in this article performs better.

引用

页码：71 / 87

页数：17

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