Volume 44, Number 3, May-June 2010
|Page(s)||455 - 484|
|Published online||04 February 2010|
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
© EDP Sciences, SMAI, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.