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

✍ Scribed by J.C. de los Reyes; K. Kunisch

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
604 KB
Volume
62
Category
Article
ISSN
0362-546X

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✦ Synopsis

In this paper we study optimal control of the Navier-Stokes equations when the control acts as a pointwise constrained boundary condition of Dirichlet type. The problem is analyzed in the control space H 1/2 00 , the optimality system and second order sufficient optimality conditions are derived. For the numerical solution we apply a semi-smooth Newton method to a regularized version of the original problem and show convergence properties of the method and of the regularized solutions towards the original one.

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