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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
Department of Mathematics, Karl-Franzens University of Graz, A-8010 Graz, Austria.
Michael Hinze
Fakultät für Mathematik und Naturwissenschaften, TU-Dresden, D-01069 Dresden, Germany.
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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.

Research Article
© EDP Sciences, SMAI, 2002

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