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

作者：Gudi Thirupathi^*; Porwal Kamana

来源：Computational Methods in Applied Mathematics, 2014, 14(1): 71-87.

DOI：10.1515/cmam-2013-0015

• Finite Element
• Discontinuous Galerkin
• A Posteriori Error Estimate
• Obstacle Problem
• Variational Inequalities

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.

• 出版日期2014-1