Zakaria Belhachmi, Souad Tahir
Abstract:
We consider some mixed variational formulations
of elasticity system in domains with cracks.
Inequality type conditions are prescribed at the crack faces
which results in a model of unilateral contact.
Relying in a new variational formulation of these problems
in the smooth domain, we study and implement various mixed
finite elements methods. We derive convergence rates and
optimal error estimates.
Published October 15, 2004.
Math Subject Classifications: 65N30, 74M15, 35J85.
Key Words: Crack problems; variational inequalities; smooth domain
method; augmented Lagrangian formulation; mixed finite elements;
a priori estimates.
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Zakaria Belhachmi Laboratoire de Mathématiques (LMAM) Université de Metz, ISGMP Batiment A, Ile du Saulcy, 57045 Metz, France email: belhach@poncelet.sciences.univ-metz.fr |
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Souad Tahir Laboratoire de Mathématiques (LMAM) Université de Metz, ISGMP Batiment A, Ile du Saulcy, 57045 Metz, France email: tahir@poncelet.sciences.univ-metz.fr |
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