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

Published online by Cambridge University Press:  27 January 2009

V. Lleras
V. Lleras*
Affiliation:
Laboratoire de mathématiques, Université de Besançon, CNRS UMR 6623, 16 route de Gray, 25030 Besançon Cedex, France
*
vanessa.lleras@univ-fcomte.fr
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Abstract

In this work we consider a stabilized Lagrange multiplier method in order toapproximate the Coulomb frictional contact model in linear elastostatics. Theparticularity of the method is that no discrete inf-sup condition is needed. Westudy the existence and the uniqueness of solution of the discrete problem.

Keywords

unilateral contactCoulomb's friction lawfinite elementsmixedmethodstabilization

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