no. 1
A finite element discretization of the contact between two membranes
ESAIM: Modélisation mathématique et analyse numérique, Tome 43 (2009) no. 1, pp. 33-52.

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.

DOI : 10.1051/m2an/2008041
Classification : 65N30, 73K10, 73T05
Mots clés : unilateral contact, variational inequalities, finite elements, a priori and a posteriori analysis 
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     title = {A finite element discretization of the contact between two membranes},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {33--52},
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Belgacem, Faker Ben; Bernardi, Christine; Blouza, Adel; Vohralík, Martin. A finite element discretization of the contact between two membranes. ESAIM: Modélisation mathématique et analyse numérique, Tome 43 (2009) no. 1, pp. 33-52. doi : 10.1051/m2an/2008041. http://www.numdam.org/articles/10.1051/m2an/2008041/

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