Volume 21, 2007Journées d'analyse fonctionnelle et numérique en l'honneur de Michel Crouzeix
|Page(s)||31 - 44|
|Published online||04 December 2007|
Space and time reconstructions in a posteriori analysis of evolution problems
Department of Applied Mathematics, University of Crete, 71409 Heraklion-Crete, Greece and Institute of Applied and Computational Mathematics, FORTH, 71110 Heraklion-Crete, Greece. email:
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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