A C-0 Interior Penalty Method for a Fourth-order Variational Inequality of the Second Kind

Gudi, Thirupathi and Porwal, Kamana (2016) A C-0 Interior Penalty Method for a Fourth-order Variational Inequality of the Second Kind. In: NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 32 (1). pp. 36-59.

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Abstract

In this article, we propose a C-0 interior penalty ((CIP)-I-0) method for the frictional plate contact problem and derive both a priori and a posteriori error estimates. We derive an abstract error estimate in the energy norm without additional regularity assumption on the exact solution. The a priori error estimate is of optimal order whenever the solution is regular. Further, we derive a reliable and efficient a posteriori error estimator. Numerical experiments are presented to illustrate the theoretical results. (c) 2015Wiley Periodicals, Inc.

Item Type:	Journal Article
Publication:	NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Publisher:	WILEY-BLACKWELL
Additional Information:	Copy right for this article belongs to the WILEY-BLACKWELL, 111 RIVER ST, HOBOKEN 07030-5774, NJ USA
Keywords:	finite element; (CIP)-I-0; frictional contact problem; variational inequalities; adaptive fem
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	04 Mar 2016 06:12
Last Modified:	04 Mar 2016 06:12
URI:	http://eprints.iisc.ac.in/id/eprint/53370

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