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Constrained optimal control of Navier–Stokes flow by semismooth Newton methods

✍ Scribed by Michael Ulbrich

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
669 KB
Volume
48
Category
Article
ISSN
0167-6911

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✦ Synopsis

We propose and analyze a semismooth Newton-type method for the solution of a pointwise constrained optimal control problem governed by the time-dependent incompressible Navier-Stokes equations. The method is based on a reformulation of the optimality system as an equivalent nonsmooth operator equation. We analyze the ow control problem and prove q-superlinear convergence of the method. In the numerical implementation, adjoint techniques are combined with a truncated conjugate gradient method. Numerical results are presented that support our theoretical results and conÿrm the viability of the approach.

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