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Optimal control of variational inequalities arising in flow of viscoplastic materials
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Optimal control problems governed by mixed elliptic variational inequalities arising in flows of Bingham viscoplastic materials are investigated. A family of Huber type regularized control problems is introduced and convergence of the regularized solutions towards the original one is verified. An optimality system for the original control problem is obtained as limit of the regularized ones. For the solution of the regularized optimality systems, semismooth Newton methods are considered. Numerical algorithms, in the form of active set strategies, will be described and convergence properties, by means of numerical examples, presented.
This talk is part of the Applied and Computational Analysis series.
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