Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems

Gudi, Thirupathi (2010) Some nonstandard error analysis of discontinuous Galerkin methods for elliptic problems. In: CALCOLO - A Quarterly on Numerical Analysis and Theory of Computation, 47 (4). pp. 239-261.

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Abstract

An a priori error analysis of discontinuous Galerkin methods for a general elliptic problem is derived under a mild elliptic regularity assumption on the solution. This is accomplished by using some techniques from a posteriori error analysis. The model problem is assumed to satisfy a GAyenrding type inequality. Optimal order L (2) norm a priori error estimates are derived for an adjoint consistent interior penalty method.

Item Type:	Journal Article
Publication:	CALCOLO - A Quarterly on Numerical Analysis and Theory of Computation
Publisher:	Springer
Additional Information:	Copyright of this article belongs to Springer.
Keywords:	Finite element; Discontinuous Galerkin; Error estimate
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	13 Dec 2010 10:35
Last Modified:	13 Dec 2010 10:35
URI:	http://eprints.iisc.ac.in/id/eprint/34468

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