# Globalization of SQP-Methods in Control of the Instationary Navier-Stokes Equations

Michael Hintermüller; Michael Hinze

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 36, Issue: 4, page 725-746
- ISSN: 0764-583X

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topHintermüller, Michael, and Hinze, Michael. "Globalization of SQP-Methods in Control of the Instationary Navier-Stokes Equations." ESAIM: Mathematical Modelling and Numerical Analysis 36.4 (2010): 725-746. <http://eudml.org/doc/194123>.

@article{Hintermüller2010,

abstract = {
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.
},

author = {Hintermüller, Michael, Hinze, Michael},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Globalized SQP-method; line search; Navier Stokes equations; optimal control.; globalized SQP-method; Navier-Stokes equations; optimal control},

language = {eng},

month = {3},

number = {4},

pages = {725-746},

publisher = {EDP Sciences},

title = {Globalization of SQP-Methods in Control of the Instationary Navier-Stokes Equations},

url = {http://eudml.org/doc/194123},

volume = {36},

year = {2010},

}

TY - JOUR

AU - Hintermüller, Michael

AU - Hinze, Michael

TI - Globalization of SQP-Methods in Control of the Instationary Navier-Stokes Equations

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 36

IS - 4

SP - 725

EP - 746

AB -
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.

LA - eng

KW - Globalized SQP-method; line search; Navier Stokes equations; optimal control.; globalized SQP-method; Navier-Stokes equations; optimal control

UR - http://eudml.org/doc/194123

ER -

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