A discretization theory for a class of semi-coercive unilateral problems

In this paper, we present a convergence analysis applicable to the approxim ation of a large class of semi-coercive variational inequalities, The appro ach we propose is based on a recession analysis of some regularized Galerki n schema, Finite-element approximations of semi-coercive unilateral problem s in mechanics are discussed. In particular, a Signorini-Fichera unilateral contact model and some obstacle problem with frictions are studied, The th eoretical conditions proved are in good agreement with the numerical ones. Mathematics Subject Classification (1991): 49J40, 49J52, 35J20.