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.
|Titolo:||Skipping transition conditions in a posteriori error estimates for finite element discretizations of parabolic equations,|
|Data di pubblicazione:||2010|
|Digital Object Identifier (DOI):||10.1051/m2an/2010009|
|Appare nelle tipologie:||1.1 Articolo in rivista|