Globalization of SQP-methods in control of the instationary Navier-Stokes equations
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) no. 4, p. 725-746
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 : https://doi.org/10.1051/m2an:2002032
Classification:  49M05,  49M29,  49M37,  76D55
@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: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
publisher = {EDP-Sciences},
volume = {36},
number = {4},
year = {2002},
pages = {725-746},
doi = {10.1051/m2an:2002032},
zbl = {1073.49025},
mrnumber = {1932311},
language = {en},
url = {http://www.numdam.org/item/M2AN_2002__36_4_725_0}
}
Hintermüller, Michael; Hinze, Michael. Globalization of SQP-methods in control of the instationary Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 36 (2002) no. 4, pp. 725-746. doi : 10.1051/m2an:2002032. http://www.numdam.org/item/M2AN_2002__36_4_725_0/

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