Error Indicators for the Mortar Finite Element Discretization of a Parabolic Problem

Author: Bergam A.   Bernardi C.   Hecht F.   Mghazli Z.  

Publisher: Springer Publishing Company

ISSN: 1017-1398

Source: Numerical Algorithms, Vol.34, Iss.2-4, 2003-12, pp. : 187-201

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Abstract

In this paper we study residual spatial error indicators for a parabolic equation already discretized with respect to the time variable and approximated with the mortar finite element method. A posteriori error estimates are given at each step of time and are based on a local residual, the jumps of the normal derivative through the interfaces between elements and the jumps of the discrete solution through the mortars.