Globalization of SQP-Methods in Control of the Instationary Navier-Stokes Equations
Department of Mathematics, Karl-Franzens University of Graz, A-8010 Graz, Austria. firstname.lastname@example.org.
2 Fakultät für Mathematik und Naturwissenschaften, TU-Dresden, D-01069 Dresden, Germany. email@example.com.
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