Optimization of mixed variational inequalities arising in flow of viscoplastic materials

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. © Springer Science+Business Media, LLC 2011.

Año de publicación:

2012

Keywords:

• semismooth Newton methods
• VI-constrained optimization
• Huber regularization
• Optimal Control
• Mixed variational inequalities
• Bingham flow

Fuente:

google

scopus