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Main Title: Analysis of the SQP-method for optimal control problems governed by the instationary Navier-Stokes equations based on Lp-theory
Author(s): Wachsmuth, Daniel
Type: Research Paper
Abstract: The aim of this article is to present a convergence theory of the SQP-method applied to optimal control problems for the instationary Navier-Stokes equations. We will employ a second-order sufficient optimality condition, which requires that the second derivative of the Lagrangian is positive definit on a subspace of inactive constraints. Therefore, we have to use $L^p$-theory of optimal controls of the instationary Navier-Stokes equations rather than Hilbert space methods. We prove local convergence of the SQP-method. This behaviour is confirmed by numerical tests.
Subject(s): optimal control
Navier-Stokes equations
control constraints
Lipschitz stability
Issue Date: 1-May-2004
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 49M37 Methods of nonlinear programming type
49N60 Regularity of solutions
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2004, 13
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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