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Omar Lakkis, Charalambos MakridakisElliptic Reconstruction and A Posteriori Error Estimate for Fully Discrete Linear Parabolic ProblemsWe derive a posteriori error estimates for fully discrete approximations to solutions of linear parabolic equations. The space discretization uses finite element spaces that are allowed to change in time. Our main tool is an appropriate adaptation of the elliptic reconstruction technique, introduced by Makridakis & Nochetto. We derive novel a posteriori estimates for the norms of L? (0, T ; L2(?)) and the higher order spaces L? (0, T; H1(?)) and H1(0, T ; L2(?)) , with optimal orders of convergence.Bibliographical note: |