A fully discrete C-0 interior penalty Galerkin approximation of the extended Fisher-Kolmogorov equation

Gudi, Thirupathi and Gupta, Hari Shanker (2013) A fully discrete C-0 interior penalty Galerkin approximation of the extended Fisher-Kolmogorov equation. In: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 247 . pp. 1-16.

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Abstract

A fully discrete C-0 interior penalty finite element method is proposed and analyzed for the Extended Fisher-Kolmogorov (EFK) equation u(t) + gamma Delta(2)u - Delta u + u(3) - u = 0 with appropriate initial and boundary conditions, where gamma is a positive constant. We derive a regularity estimate for the solution u of the EFK equation that is explicit in gamma and as a consequence we derive a priori error estimates that are robust in gamma. (C) 2013 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Publication:	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Publisher:	ELSEVIER SCIENCE BV
Additional Information:	Copyright for this article belongs to the ELSEVIER SCIENCE BV, NETHERLANDS.
Keywords:	Finite element; Discontinuous Galerkin; Error estimate; Regularity; Stability; EFK equation
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	01 May 2013 10:13
Last Modified:	01 May 2013 10:13
URI:	http://eprints.iisc.ac.in/id/eprint/46449

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