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.
Mots clés : globalized SQP-method, line search, Navier Stokes equations, optimal control
@article{M2AN_2002__36_4_725_0,
author = {Hinterm\"uller, Michael and Hinze, Michael},
title = {Globalization of {SQP-methods} in control of the instationary {Navier-Stokes} equations},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
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://www.numdam.org/articles/10.1051/m2an:2002032/}
}
TY - JOUR AU - Hintermüller, Michael AU - Hinze, Michael TI - Globalization of SQP-methods in control of the instationary Navier-Stokes equations JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2002 SP - 725 EP - 746 VL - 36 IS - 4 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2002032/ DO - 10.1051/m2an:2002032 LA - en ID - M2AN_2002__36_4_725_0 ER -
%0 Journal Article %A Hintermüller, Michael %A Hinze, Michael %T Globalization of SQP-methods in control of the instationary Navier-Stokes equations %J ESAIM: Modélisation mathématique et analyse numérique %D 2002 %P 725-746 %V 36 %N 4 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2002032/ %R 10.1051/m2an:2002032 %G en %F M2AN_2002__36_4_725_0
Hintermüller, Michael; Hinze, Michael. Globalization of SQP-methods in control of the instationary Navier-Stokes equations. ESAIM: Modélisation mathématique et analyse numérique, Tome 36 (2002) no. 4, pp. 725-746. doi : 10.1051/m2an:2002032. http://www.numdam.org/articles/10.1051/m2an:2002032/
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