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An improved error bound for a finite element approximation of a reaction-diffusion system of lambda-omega type
Journal article   Peer reviewed

An improved error bound for a finite element approximation of a reaction-diffusion system of lambda-omega type

Ahmed A. Al Ghafli and Hassan J. Al Salman
Applied mathematics and computation, Vol.246, pp.491-501
01/11/2014
DOI: https://doi.org/10.1016/j.amc.2014.08.050

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we study a nonlinear in time finite element discretization of a reaction-diffusion system of lambda-omega type. Using the approach in Nochetto et al. (2000) for analyzing the time discretization error in the backward Euler method, we improve on the error bound derived in Garvie and Blowey (2005). We also present some numerical experiments to illustrate the improved error bound. (C) 2014 Elsevier Inc. All rights reserved.

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