| Issue |
Math. Model. Nat. Phenom.
Volume 4, Number 1, 2009
Modelling and numerical methods in contact mechanics
|
|
|---|---|---|
| Page(s) | 163 - 182 | |
| DOI | https://doi.org/10.1051/mmnp/20094108 | |
| Published online | 27 January 2009 | |
A Stabilized Lagrange Multiplier Method for the Finite Element Approximation of Frictional Contact Problems in Elastostatics
Laboratoire de mathématiques, Université de Besançon, CNRS UMR
6623, 16 route de Gray, 25030 Besançon Cedex, France
Corresponding author: vanessa.lleras@univ-fcomte.fr
In this work we consider a stabilized Lagrange multiplier method in order to approximate the Coulomb frictional contact model in linear elastostatics. The particularity of the method is that no discrete inf-sup condition is needed. We study the existence and the uniqueness of solution of the discrete problem.
Mathematics Subject Classification: 65N30 / 74M15
Key words: unilateral contact / Coulomb's friction law / finite elements / mixed method / stabilization
© EDP Sciences, 2009
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