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.
Skipping transition conditions in a posteriori error estimates for finite element discretizations of parabolic equations, / Berrone, Stefano. - In: MODÉLISATION MATHÉMATIQUE ET ANALYSE NUMÉRIQUE. - ISSN 0764-583X. - STAMPA. - 44:(2010), pp. 455-484. [10.1051/m2an/2010009]
Skipping transition conditions in a posteriori error estimates for finite element discretizations of parabolic equations,
BERRONE, Stefano
2010
Abstract
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.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2317478
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