  In this paper, we couple regularization techniques of nondifferentiable
optimization with the h-version of the boundary element method (h-BEM) to solve
nonsmooth variational problems arising in contact mechanics. As a model example
we consider the delamination problem. The variational formulation of this
problem leads to a hemivariational inequality (HVI)with a nonsmooth functional
defined on the contact boundary. This problem is first regularized and then
discretized by a h-BEM. We prove convergence of the h-BEM Galerkin solution of
the regularized problem in the energy norm, provide an a-priori error estimate
and give a numerical example.
