Skipping transition conditions in a posteriori error estimates for finite element discretizations of parabolic equations
Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy. firstname.lastname@example.org
Revised: 28 July 2009
In this paper we derive a posteriori error estimates for the heat equation. The time discretization strategy is based on a θ-method and the mesh used for each time-slab is independent of the mesh used for the previous time-slab. The novelty of this paper is an upper bound for the error caused by the coarsening of the mesh used for computing the solution in the previous time-slab. The technique applied for deriving this upper bound is independent of the problem and can be generalized to other time dependent problems.
Mathematics Subject Classification: 65N30 / 65N15 / 65N50 / 65J15
Key words: A posteriori error estimates / transition condition / parabolic problems
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