Geodesic
Globalization of SQP-methods in control of the instationary Navier-Stokes equations
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 36 (2002) no. 4, pp. 725-746

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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.

DOI : 10.1051/m2an:2002032
Classification : 49M05, 49M29, 49M37, 76D55
Keywords: globalized SQP-method, line search, Navier Stokes equations, optimal control 
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     author = {Hinterm\"uller, Michael and Hinze, Michael},
     title = {Globalization of {SQP-methods} in control of the instationary {Navier-Stokes} equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {725--746},
     publisher = {EDP-Sciences},
     volume = {36},
     number = {4},
     year = {2002},
     doi = {10.1051/m2an:2002032},
     mrnumber = {1932311},
     zbl = {1073.49025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2002032/}
}
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Hintermüller, Michael; Hinze, Michael. Globalization of SQP-methods in control of the instationary Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 36 (2002) no. 4, pp. 725-746. doi: 10.1051/m2an:2002032

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