Analysis of the SQP-method for optimal control problems governed by the instationary Navier-Stokes equations based on Lp-theory
dc.contributor.author | Wachsmuth, Daniel | |
dc.date.accessioned | 2021-12-17T10:06:09Z | |
dc.date.available | 2021-12-17T10:06:09Z | |
dc.date.issued | 2004-05-01 | |
dc.description.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. | en |
dc.identifier.issn | 2197-8085 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15540 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14313 | |
dc.language.iso | en | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.ddc | 510 Mathematik | en |
dc.subject.other | optimal control | en |
dc.subject.other | Navier-Stokes equations | en |
dc.subject.other | control constraints | en |
dc.subject.other | Lipschitz stability | en |
dc.subject.other | SQP-method | en |
dc.title | Analysis of the SQP-method for optimal control problems governed by the instationary Navier-Stokes equations based on Lp-theory | en |
dc.type | Research Paper | en |
dc.type.version | submittedVersion | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | en |
tub.series.issuenumber | 2004, 13 | en |
tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
tub.subject.msc2000 | 49M37 Methods of nonlinear programming type | en |
tub.subject.msc2000 | 49N60 Regularity of solutions | en |
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