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a priori and a posteriori analysis.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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A finite element discretization of the contactbetween two membranes
Faker Ben Belgacem, Christine Bernardi, Adel Blouza, Martin Vohralík
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 43 / Issue 1 / January 2009

Published online by Cambridge University Press:

16 October 2008, pp. 33-52

Print publication:

January 2009
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From the fundamental laws of elasticity, we write a model for the contact between two membranes and we perform the analysis of the corresponding system of variational inequalities. We propose a finite element discretization of this problem and prove its well-posedness. We also establish a priori and a posteriori error estimates.