| Issue |
ESAIM: M2AN
Volume 36, Number 4, July/August 2002
|
|
|---|---|---|
| Page(s) | 725 - 746 | |
| DOI | https://doi.org/10.1051/m2an:2002032 | |
| Published online | 15 September 2002 | |
Globalization of SQP-Methods in Control of the Instationary Navier-Stokes Equations
1
Department of Mathematics, Karl-Franzens University of Graz, A-8010 Graz, Austria. michael.hintermueller@kfunigraz.ac.at.
2
Fakultät für Mathematik und Naturwissenschaften, TU-Dresden,
D-01069 Dresden, Germany. hinze@math.tu-dresden.de.
Received:
3
July
2001
Revised:
16
April
2002
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.
Mathematics Subject Classification: 49M05 / 49M29 / 49M37 / 76D55
Key words: Globalized SQP-method / line search / Navier Stokes equations / optimal control.
© EDP Sciences, SMAI, 2002
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