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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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Official URL: http://dx.doi.org/10.1016/j.cam.2012.12.019

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
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
Depositing User: Francis Jayakanth
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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