Issue |
ESAIM: M2AN
Volume 43, Number 1, January-February 2009
|
|
---|---|---|
Page(s) | 33 - 52 | |
DOI | https://doi.org/10.1051/m2an/2008041 | |
Published online | 16 October 2008 |
A finite element discretization of the contact between two membranes
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. faker.ben-belgacem@utc.fr
2
Laboratoire Jacques-Louis Lions, C.N.R.S.
& Université Pierre et Marie Curie, B.C. 187, 4
place Jussieu, 75252 Paris Cedex 05, France. bernardi@ann.jussieu.fr; vohralik@ann.jussieu.fr
3
Laboratoire de Mathématiques Raphaël Salem (U.M.R. 6085 C.N.R.S.), Université de Rouen, avenue de l'Université, B.P. 12, 76801 Saint-Étienne-du-Rouvray, France. Adel.Blouza@univ-rouen.fr
Received:
18
January
2008
Revised:
25
May
2008
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.
Mathematics Subject Classification: 65N30 / 73K10 / 73T05
Key words: Unilateral contact / variational inequalities / finite elements / a priori and a posteriori analysis.
© EDP Sciences, SMAI, 2008
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