In this paper we present an interior point method for large scale Signorini elastic contact problems. We study the case of an elastic body in frictionless contact with a rigid foundation. Primal and primal-dual algorithms are developed to solve the quadratic optimization problem arising in the variational formulation. Our computational study confirms the efficiency of the interior point methods for this class of optimization problems.
Technical Report 04.22, Laboratoire MIP, Université Paul Sabatier, Toulouse, 2004