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

Abstract

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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.

How to cite

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Hintermüller, 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 -

References

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