Skipping Transition Conditions in a Posteriori Error Estimates for Finite Element Discretizations of Parabolic Equations
نویسندگان
چکیده
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. Received April 15, 2008. Revised July 28, 2009. Published online February 4, 2010.
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