Analysis of the SQP-method for optimal control problems governed by the instationary Navier-Stokes equations based on Lp-theory

dc.contributor.authorWachsmuth, Daniel
dc.date.accessioned2021-12-17T10:06:09Z
dc.date.available2021-12-17T10:06:09Z
dc.date.issued2004-05-01
dc.description.abstractThe 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.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15540
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14313
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otheroptimal controlen
dc.subject.otherNavier-Stokes equationsen
dc.subject.othercontrol constraintsen
dc.subject.otherLipschitz stabilityen
dc.subject.otherSQP-methoden
dc.titleAnalysis of the SQP-method for optimal control problems governed by the instationary Navier-Stokes equations based on Lp-theoryen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfreeen
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Mathematikde
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.instituteInst. Mathematikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen
tub.series.issuenumber2004, 13en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200049M37 Methods of nonlinear programming typeen
tub.subject.msc200049N60 Regularity of solutionsen

Files

Original bundle
Now showing 1 - 1 of 1
Loading…
Thumbnail Image
Name:
ppr2004_13.pdf
Size:
367.89 KB
Format:
Adobe Portable Document Format

Collections