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Licensed Unlicensed Requires Authentication Published by De Gruyter August 13, 2013

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

  • Thirupathi Gudi EMAIL logo and Kamana Porwal

Abstract.

We revisit the a posteriori error analysis of discontinuous Galerkin methods for the obstacle problem derived in [Math. Comput. (2013), DOI 10.1090/S0025-5718-2013-02728-7]. 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.

MSC: 65N30; 65N15
Published Online: 2013-08-13
Published in Print: 2014-01-01

© 2014 by Walter de Gruyter Berlin/Boston

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