A Stabilized Lagrange Multiplier Method for the Finite Element Approximation of Frictional Contact Problems in Elastostatics

Issue		Math. Model. Nat. Phenom. Volume 4, Number 1, 2009 Modelling and numerical methods in contact mechanics


Page(s)		163 - 182
DOI		10.1051/mmnp/20094108
Published online		27 January 2009

Math. Model. Nat. Phenom. Vol. 4, No. 1, 2009, pp. 163-182
DOI: 10.1051/mmnp/20094108

A Stabilized Lagrange Multiplier Method for the Finite Element Approximation of Frictional Contact Problems in Elastostatics

V. Lleras

Laboratoire de mathématiques, Université de Besançon, CNRS UMR 6623, 16 route de Gray, 25030 Besançon Cedex, France

vanessa.lleras@univ-fcomte.fr

Published online: 27 January 2009

Abstract
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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