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Journal Articles IMA Journal of Numerical Analysis Year : 2011

On the unilateral contact between membranes Part 2: A posteriori analysis and numerical experiments

Abstract

The contact between two membranes can be described by a system of variational inequalities, where the unknowns are the displacements of the membranes and the action of a membrane on the other one. A discretization of this system is proposed in Part 1 of this work, where the displacements are approximated by standard finite elements and the action by a local postprocessing which admits an equivalent mixed reformulation.Here, we perform the a posteriori analysis of this discretization and prove optimal error estimates. Next, we present numerical experiments that confirm the efficiency of the error indicators.
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Dates and versions

hal-00461144 , version 1 (04-03-2010)

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Faker Ben Belgacem, Christine Bernardi, Adel Blouza, Martin Vohralík. On the unilateral contact between membranes Part 2: A posteriori analysis and numerical experiments. IMA Journal of Numerical Analysis, 2011, 32 (Issue 3), pp.1147-1172. ⟨10.1093/imanum/drr003⟩. ⟨hal-00461144⟩
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