A semi-smooth Newton method for regularized state-constrained optimal control of the Navier-Stokes equations
| dc.contributor.author | de los Reyes, Juan Carlos | |
| dc.contributor.author | Kunisch, Karl | |
| dc.date.accessioned | 2022-05-11T12:11:31Z | |
| dc.date.available | 2022-05-11T12:11:31Z | |
| dc.date.issued | 2005-09-01 | |
| dc.description | Revised version of the preprint first published 01. September 2005 under the title "A semi-smooth Newton method for state-constrained optimal control of the Navier-Stokes equations" | en |
| dc.description.abstract | In this paper we study semi-smooth Newton methods for the numerical solution of pointwise state-constrained optimal control problems governed by the Navier-Stokes equations. After deriving an appropriate optimality system, a class of regularized problems is introduced and the convergence of their solutions to the original optimal one is proved. For each regularized problem a semi-smooth Newton method is applied and its convergence verified. Finally, selected numerical results illustrate the behavior of the method and a comparison between the $max$-$min$ and the Fischer-Burmeister as complementarity functionals is carried out. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/16872 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-15650 | |
| dc.language.iso | en | |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | optimal control | en |
| dc.subject.other | Navier-Stokes equations | en |
| dc.subject.other | state constraints | en |
| dc.subject.other | semi-smooth Newton methods | en |
| dc.title | A semi-smooth Newton method for regularized state-constrained optimal control of the Navier-Stokes equations | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | |
| 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 | 2005, 23 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 76D55 Flow control and optimization | en |
| tub.subject.msc2000 | 49M29 Methods involving duality | en |
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