| Issue |
ESAIM: M2AN
Volume 44, Number 3, May-June 2010
|
|
|---|---|---|
| Page(s) | 455 - 484 | |
| DOI | https://doi.org/10.1051/m2an/2010009 | |
| 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. sberrone@calvino.polito.it
Received:
15
April
2008
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
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