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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 with a nonsmooth functional defined on the contact boundary. This problem is first regularized and then discretized by an  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 examples. Copyright © 2016 John Wiley & Sons, Ltd.

On the coupling of regularization techniques and the boundary element method for a hemivariational inequality modelling a delamination problem