Flow Control with Regularized State Constraints

  • J. C. de los Reyes
  • F. Tröltzsch
Conference paper
Part of the Notes on Numerical Fluid Mechanics and Multidisciplinary Design (NNFM) book series (NNFM, volume 95)

Abstract

We consider the distributed optimal control of the Navier-Stokes equations in presence of pointwise state constraints. A Lavrentiev regularization of the constraints is proposed and a first order optimality system is derived. The regularity of the mixed constraint multiplier is investigated and second order sufficient optimality conditions are studied. In the last part of the paper, a semi-smooth Newton method is applied for the numerical solution of the control problem and numerical experiments are carried out.

Keywords

Optimal Control Problem State Constraint Semismooth Newton Method Smooth Newton Method Complementarity System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • J. C. de los Reyes
    • 1
    • 2
  • F. Tröltzsch
    • 1
  1. 1.Technical University of BerlinBerlinGermany
  2. 2.Escuela Politécnica Nacional QuitoQuitoEcuador

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