# Globalization of SQP-methods in control of the instationary Navier-Stokes equations

Michael Hintermüller; Michael Hinze

- 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 - Modélisation Mathématique et Analyse Numérique 36.4 (2002): 725-746. <http://eudml.org/doc/245976>.

@article{Hintermüller2002,

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 - Modélisation Mathématique et Analyse Numérique},

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

language = {eng},

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/245976},

volume = {36},

year = {2002},

}

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 - Modélisation Mathématique et Analyse Numérique

PY - 2002

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; Navier-Stokes equations

UR - http://eudml.org/doc/245976

ER -

## References

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