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Mixed finite element methods for the Signorini problem with friction

Laurent Baillet 1, 2 T. Sassi 3
1 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
2 TMI - Tribologie et Mécanique des Interfaces
LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
3 LMNO - Laboratoire de Mathématiques Nicolas Oresme
Abstract : In this article, we propose and study different mixed variational methods in order to approximate the Signorini problem with friction using finite elements. The discretized normal and tangential constraints at the contact interface are expressed by using either continuous piecewise linear or piecewise constant Lagrange multipliers in the saddle-point formulation. A priori error estimates are established and several numerical examples corresponding to the different choices of the discretized normal and tangential constraints are carried out.
Keywords : mixed finite element methods • unilateral contact problems with friction • a priori error estimates
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https://hal-insu.archives-ouvertes.fr/insu-00355157
Contributor : Pascale Talour <>
Submitted on : Thursday, January 22, 2009 - 11:33:34 AM
Last modification on : Wednesday, July 8, 2020 - 12:43:31 PM

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Laurent Baillet, T. Sassi. Mixed finite element methods for the Signorini problem with friction. Numerical Methods for Partial Differential Equations, Wiley, 2006, 22 (6), pp.1489 à 1508. ⟨10.1002/num.20147⟩. ⟨insu-00355157⟩

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