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

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• 作者：Nina Ovcharova
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：40
• 期：1
• 页码：60-77
• 全文大小：891K
• ISSN：1099-1476

文摘

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