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Optimization of mixed variational inequalities arising in flow of viscoplastic materials


  • Juan Reyes



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

Suggested Citation

  • 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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