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

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 posteri...

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Publication date:
2010-01-01
URN:
uuid:218a07a9-17e4-4f89-9082-2cca830c70a1
Local pid:
oai:eprints.maths.ox.ac.uk:998

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