direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Preprint 23-2005

A semi-smooth Newton method for state-constrained optimal control of the Navier-Stokes equations

Source file is available as :   Portable Document Format (PDF)

Author(s) : Juan Carlos de los Reyes , Karl Kunisch

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 23-2005

MSC 2000

76D55 Flow control and optimization
49M29 Methods involving duality

Abstract :
In this paper we study semi-smooth Newton methods for the numerical solution of pointwise state-constrained optimal control problems governed by the Navier-Stokes equations. After deriving an appropriate optimality system, a class of regularized problems is introduced and the convergence of their solutions to the original optimal one is proved. For each regularized problem a semi-smooth Newton method is applied and its convergence verified. Finally, selected numerical results illustrate the behavior of the method and a comparison between the $max$-$min$ and the Fischer-Burmeister as complementarity functionals is carried out.

Keywords : Optimal control, Navier-Stokes equations, state constraints, semi-smooth Newton methods

Zusatzinformationen / Extras


Schnellnavigation zur Seite über Nummerneingabe