Geodesic
A finite element discretization of the contact between two membranes
Ben Belgacem, Faker1  ; Bernardi, Christine  ; Blouza, Adel  ; Vohralík, Martin 
1 L.M.A.C. (E.A. 2222), Département de Génie Informatique, Université de Technologie de Compiègne, Centre de Recherches de Royallieu, B.P. 20529, 60205 Compiègne Cedex, France
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 1, pp. 33-52

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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.

DOI : 10.1051/m2an/2008041
Classification : 65N30, 73K10, 73T05
Keywords: unilateral contact, variational inequalities, finite elements, a priori and a posteriori analysis

Ben Belgacem, Faker 1 ; Bernardi, Christine  ; Blouza, Adel  ; Vohralík, Martin 

1 L.M.A.C. (E.A. 2222), Département de Génie Informatique, Université de Technologie de Compiègne, Centre de Recherches de Royallieu, B.P. 20529, 60205 Compiègne Cedex, France 
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     title = {A finite element discretization of the contact between two membranes},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {33--52},
     publisher = {EDP-Sciences},
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Ben Belgacem, Faker; Bernardi, Christine; Blouza, Adel; Vohralík, Martin. A finite element discretization of the contact between two membranes. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 1, pp. 33-52. doi: 10.1051/m2an/2008041

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