Optimal control of the stationary Navier-Stokes equations with mixed control-state constraints

Abstract:

In this paper we consider the distributed optimal control of the Navier-Stokes equations in the presence of pointwise mixed control-state constraints. After deriving a first order necessary condition, the regularity of the mixed constraint multiplier is investigated. Second order sufficient optimality conditions are studied as well. In the last part of the paper, a semismooth Newton method is applied for the numerical solution of the control problem. The convergence of the method is proved and numerical experiments are carried out. © 2007 Society for Industrial and Applied Mathematics.

Año de publicación:

2007

Keywords:

• Optimal Control
• semismooth Newton methods
• Mixed control-state constraints
• Navier-Stokes equations

Fuente:

scopus

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