Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14313
For citation please use:
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
URI: https://depositonce.tu-berlin.de/handle/11303/15540
http://dx.doi.org/10.14279/depositonce-14313
License: http://rightsstatements.org/vocab/InC/1.0/
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
SQP-method
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

Files in This Item:
ppr2004_13.pdf
Format: Adobe PDF | Size: 367.89 kB
DownloadShow Preview
Thumbnail

Item Export Bar

Items in DepositOnce are protected by copyright, with all rights reserved, unless otherwise indicated.