Optimal control of Navier-Stokes equations by Oseen approximation

Authors:
Miroslav Pošta;Tomáš Roubíček
Affiliations:
Department of Mathematical Analysis, Math.-Phys. Faculty, Charles University, Sokolovská 83, CZ-186 75 Praha 8, Czech Republic;Mathematical Institute, Charles University, Sokolovská 83, CZ-186 75 Praha 8, Czech Republic and Institute of Information Theory and Automation, Academy of Sciences, Pod vodárenskou v ...
Venue:
Computers & Mathematics with Applications
Year:
2007

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Abstract

A non-standard sequential-quadratic-programming-type iterational process based on Oseen's approximation is proposed and analyzed to solve an optimal control problem for the steady-state Navier-Stokes equations. Further numerical approximation by a finite-element method and sample computational experiments are presented, too.