Solution of a semicoercive Signorini problem by a method of iterative proximal regularization of a modified Lagrange functional

Duality methods based on classical schemes for constructing Lagrange functionals are inapplicable for solving semicoercive variational inequalities in mechanics. In this paper we approximately solve a scalar semicoercive Signorini problem, using a duality method based on the iterative proximal regularization of a modified Lagrange functional. We realize the algorithm with the help of the finite element method on a sequence of domain triangulations.