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Skipping transition conditions in a posteriori error estimates for finite element discretizationsof parabolic equations

Published online by Cambridge University Press:  04 February 2010

Stefano Berrone
Stefano Berrone*
Affiliation:
Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy. [email protected]
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Abstract

In this paper we derive a posteriori error estimates for theheat equation. The time discretizationstrategy is based on a θ-method and the mesh used for eachtime-slab is independent of the mesh used for the previoustime-slab. The novelty of this paper is an upper bound for theerror caused by the coarsening of the mesh used for computing thesolution in the previous time-slab. The technique applied forderiving this upper bound is independent of the problem and can begeneralized to other time dependent problems.

Keywords

A posteriori error estimatestransition conditionparabolic problems
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 44 , Issue 3 , May 2010 , pp. 455 - 484
Copyright
© EDP Sciences, SMAI, 2010

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