Finite element discretizations of the contact between two membranes
Friday, November 5, 2010 - 10:45am - 11:30am
Christine Bernardi (Université de Paris VI (Pierre et Marie Curie))
The contact between two membranes can be described by a system of variational inequalities, where the unknowns are the displacements of the membranes and the action of a membrane on the other one. We first propose a discretization of this system, where the displacements are approximated by standard finite elements and the action by a local postprocessing which admits an equivalent mixed reformulation. We perform the a posteriori analysis of this discretization and prove optimal error estimates. Numerical experiments confirm the efficiency of the error indicators.