Author(s) :
Daniel Wachsmuth
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 31-2005
MSC 2000
- 49M05 Methods based on necessary conditions
-
26E25 Set-valued functions
-
49K20 Problems involving partial differential equations
Abstract :
We study optimal control problems with vector-valued controls.
As model problem serves the optimal distributed control of the instationary Navier-Stokes equations.
In the article, we propose a solution strategy to solve optimal control problems with pointwise
convex control constraints.
It involves a SQP-like step with an imbedded active-set algorithm.
The efficiency of that method is demonstrated in numerical examples and compared to the
primal-dual active-set strategy for box-constraints.
Keywords :
Optimal control, convex control constraints, set-valued mappings, active-set strategy, Navier-Stokes equations.