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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 MakridakisDepartment 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