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Optimization of mixed variational inequalities arising in flow of viscoplastic materials

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  • Juan Reyes

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

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  • Juan Reyes, 2012. "Optimization of mixed variational inequalities arising in flow of viscoplastic materials," Computational Optimization and Applications, Springer, vol. 52(3), pages 757-784, July.
    • Handle: RePEc:spr:coopap:v:52:y:2012:i:3:p:757-784
    DOI: 10.1007/s10589-011-9435-x
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    References listed on IDEAS

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    1. Pierre Jop & Yoël Forterre & Olivier Pouliquen, 2006. "A constitutive law for dense granular flows," Nature, Nature, vol. 441(7094), pages 727-730, June.
    2. Liqun Qi, 1993. "Convergence Analysis of Some Algorithms for Solving Nonsmooth Equations," Mathematics of Operations Research, INFORMS, vol. 18(1), pages 227-244, February.
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    Cited by:

    1. Juan De Los Reyes & Irwin Yousept, 2015. "Optimal control of electrorheological fluids through the action of electric fields," Computational Optimization and Applications, Springer, vol. 62(1), pages 241-270, September.
    2. J. C. Reyes & C. Meyer, 2016. "Strong Stationarity Conditions for a Class of Optimization Problems Governed by Variational Inequalities of the Second Kind," Journal of Optimization Theory and Applications, Springer, vol. 168(2), pages 375-409, February.

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