Author(s)

M. Miettinen

Abstract

In this paper we review some approximation and numerical results presented in [7],[10]. A two-dimensional elastic body obeying nonmonotone contact laws is considered. The mathematical model of this problem is described by means of hemivariational inequalities. We shall present a stable and convergent finite element approximation for it and some numerical results obtained by nonsmooth optimization methods. 1 Introduction Hemivariational inequalities, generalizations of variational inequalities, were introduced by Panagiotopoulos [12]-[14]. They are based on the notations of the generalized gradient and the generalized directional derivative of a nonconvex, nonsmooth function (see [1]). By means of them we can math- ematically describe me

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