A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem

Gudi, Thirupathi and Porwal, Kamana (2016) A posteriori error estimates of discontinuous Galerkin methods for the Signorini problem. In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 292 . pp. 257-278.

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Abstract

A reliable and efficient a posteriori error estimator is derived for a class of discontinuous Galerkin (DG) methods for the Signorini problem. A common property shared by many DG methods leads to a unified error analysis with the help of a constraint preserving enriching map. The error estimator of DG methods is comparable with the error estimator of the conforming methods. Numerical experiments illustrate the performance of the error estimator. (C) 2015 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Publication:	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Publisher:	ELSEVIER SCIENCE BV
Additional Information:	Copy right for this article belongs to the ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Keywords:	Finite element; Discontinuous Galerkin; A posteriori error estimate; Signorini problem; Variational inequalities; Lagrange multiplier
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	30 Oct 2015 06:34
Last Modified:	30 Oct 2015 06:34
URI:	http://eprints.iisc.ac.in/id/eprint/52665

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