The Mathematical Institute, University of Oxford, Eprints Archive

An a posteriori error analysis of a mixed finite element Galerkin approximation to second order linear parabolic problems

Memon, S. and Nataraj, N. and Pani, A. K. (2010) An a posteriori error analysis of a mixed finite element Galerkin approximation to second order linear parabolic problems. SIAM Journal of Numerical Analysis . (Submitted)

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Abstract

In this article, a posteriori error estimates are derived for a mixed finite element Galerkin approximation to second order linear parabolic initial and boundary value problems. Using mixed elliptic reconstruction method, a posteriori error estimates in $L^\infty(L^2)$ and $L^2(L^2)$-norms with optimal order of convergence for the solution as well as its flux are proved for the semidiscrete scheme. Finally, based on backward Euler method, a completely discrete scheme is analyzed and a posteriori bounds are derived, which improves earlier results on a posteriori estimates for mixed parabolic problems.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:998
Deposited By:Peter Hudston
Deposited On:26 Oct 2010 10:21
Last Modified:09 Feb 2012 15:58

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