Research Article
On the coupling of regularization techniques and the boundary element method for a hemivariational inequality modelling a delamination problem
Nina Ovcharova,
Corresponding Author
Nina Ovcharova
Universität der Bundeswehr München, Neubiberg, D-85577 Germany
Correspondence to: Nina Ovcharova, Universität der Bundeswehr München, D-85577 Neubiberg, Germany.
E-mail: [email protected]
Search for more papers by this authorNina Ovcharova,
Corresponding Author
Nina Ovcharova
Universität der Bundeswehr München, Neubiberg, D-85577 Germany
Correspondence to: Nina Ovcharova, Universität der Bundeswehr München, D-85577 Neubiberg, Germany.
E-mail: [email protected]
Search for more papers by this authorAbstract
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.
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