Optimization of mixed variational inequalities arising in flow of viscoplastic materials

Juan Reyes ()

Computational Optimization and Applications, 2012, vol. 52, issue 3, 757-784

Abstract: Optimal control problems of mixed variational inequalities of the second kind arising in flow of Bingham viscoplastic materials are considered. Two type of active-inactive set regularizing functions for the control problems are proposed and approximation properties and optimality conditions are investigated. A detailed first order optimality system for the control problem is obtained as limit of the regularized optimality conditions. For the solution of each regularized system a globalized semismooth Newton algorithm is constructed and its computational performance is investigated. Copyright Springer Science+Business Media, LLC 2012

Keywords: VI-constrained optimization; Optimal control; Mixed variational inequalities; Bingham flow; Huber regularization; Semismooth Newton methods (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10589-011-9435-x

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