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Optimization of mixed variational inequalities arising in flow of viscoplastic materials

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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.

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  1. Departamento de Matemática, EPN Quito, Ladrón de Guevara E11-253, Quito, Ecuador

    Juan Carlos de los Reyes

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  1. Juan Carlos de los Reyes
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Correspondence to Juan Carlos de los Reyes.

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de los Reyes, J.C. Optimization of mixed variational inequalities arising in flow of viscoplastic materials. Comput Optim Appl 52, 757–784 (2012). https://doi.org/10.1007/s10589-011-9435-x

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