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Issue ESAIM: Proc.
Volume 21, 2007
Journées d'analyse fonctionnelle et numérique en l'honneur de Michel Crouzeix
Page(s) 31 - 44
DOI http://dx.doi.org/10.1051/proc:072104
Published online 04 December 2007

ESAIM: Proc., 2007, Vol. 21, pp. 31-44
DOI: 10.1051/proc:072104

Space and time reconstructions in a posteriori analysis of evolution problems

Charalambos Makridakis

Department of Applied Mathematics, University of Crete, 71409 Heraklion-Crete, Greece and Institute of Applied and Computational Mathematics, FORTH, 71110 Heraklion-Crete, Greece.


(Published online: 4 December 2007)

Abstract
We review some recent results on a posteriori error analysis of evolution equations based on appropriate reconstruction operators. These operators are used to derive reformulations of the discretization methods as perturbed evolution pdes with source terms of a posteriori type. As a result energy or other standard techniques yield optimal a posteriori error estimates not known before.


Key words: A posteriori error analysis, parabolic equations, nonlinear evolution problems.


© EDP Sciences, ESAIM 2007


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