2004-Fez conference on Differential Equations and Mechanics.
Electronic Journal of Differential Equations,
Conference 11, 2004, pp. 33-40.

Title: Mixed finite element discretization of some variational
        inequalities arising in elasticity problems in domains 
	with cracks

Authors: Zakaria Belhachmi (Univ. de Metz, France)
         Souad Tahir (Univ. de Metz, France)
 
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.