Gudi, Thirupathi ; Porwal, Kamana (2014) A Remark on the A Posteriori Error Analysis of Discontinuous Galerkin Methods for the Obstacle Problem Computational Methods in Applied Mathematics, 14 (1). pp. 71-87. ISSN 1609-4840
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Official URL: https://doi.org/10.1515/cmam-2013-0015
Related URL: http://dx.doi.org/10.1515/cmam-2013-0015
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Walter de Gruyter GmbH. |
| Keywords: | Finite Element; Discontinuous Galerkin; A Posteriori Error Estimate; Obstacle Problem; Variational Inequalities |
| ID Code: | 141585 |
| Deposited On: | 02 Dec 2025 07:52 |
| Last Modified: | 02 Dec 2025 07:52 |
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