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Globalization of SQP-Methods in Control of the Instationary Navier-Stokes Equations

Published online by Cambridge University Press:  15 September 2002

Michael Hintermüller  and
Michael Hinze
Michael Hintermüller
Affiliation:
Department of Mathematics, Karl-Franzens University of Graz, A-8010 Graz, Austria. michael.hintermueller@kfunigraz.ac.at.
Michael Hinze
Affiliation:
Fakultät für Mathematik und Naturwissenschaften, TU-Dresden, D-01069 Dresden, Germany. hinze@math.tu-dresden.de.
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Abstract

A numerically inexpensive globalization strategy of sequential quadratic programming methods (SQP-methods) for control of the instationary Navier Stokes equations is investigated. Based on the proper functional analytic setting a convergence analysis for the globalized method is given. It is argued that the a priori formidable SQP-step can be decomposed into linear primal and linear adjoint systems, which is amenable for existing CFL-software. A report on a numerical test demonstrates the feasibility of the approach.

Keywords

Globalized SQP-methodline searchNavier Stokes equationsoptimal control.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 36 , Issue 4 , July 2002 , pp. 725 - 746
Copyright
© EDP Sciences, SMAI, 2002

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