Analysis and approximation of the velocity tracking problem for Navier-Stokes flows with distributed control

Simple item page
dc.contributorVirginia Techen
dc.contributor.authorGunzburger, Max D.en
dc.contributor.authorManservisi, S.en
dc.contributor.departmentMathematicsen
dc.date.accessed2014-05-27en
dc.date.accessioned2014-05-28T18:35:06Zen
dc.date.available2014-05-28T18:35:06Zen
dc.date.issued2000-05en
dc.description.abstractWe consider the mathematical formulation, analysis, and the numerical solution of a time-dependent optimal control problem associated with the tracking of the velocity of a Navier-Stokes ow in a bounded two-dimensional domain through the adjustment of a distributed control. The existence of optimal solutions is proved and the first-order necessary conditions for optimality are used to derive an optimality system of partial differential equations whose solutions provide optimal states and controls. Semidiscrete-in-time and fully discrete space-time approximations are defined and their convergence to the exact optimal solutions is shown. A gradient method for the solution of the fully discrete equations is examined, as are its convergence properties. Finally, the results of some illustrative computational experiments are presented.en
dc.description.sponsorshipAir Force Office of Scientific Research under grant F49620-95-1-0407en
dc.identifier.citationGunzburger, M. D.; Manservisi, S., "Analysis and approximation of the velocity tracking problem for Navier-Stokes flows with distributed control," SIAM J. Numer. Anal., 37(5), 1481-1512, (2000). DOI: 10.1137/s0036142997329414en
dc.identifier.doihttps://doi.org/10.1137/s0036142997329414en
dc.identifier.issn0036-1429en
dc.identifier.urihttp://hdl.handle.net/10919/48149en
dc.identifier.urlhttp://epubs.siam.org/doi/abs/10.1137/S0036142997329414en
dc.language.isoen_USen
dc.publisherSiam Publicationsen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectoptimal controlen
dc.subjectnavier-stokes equationsen
dc.subjectfinite elementsen
dc.subjectfluiden
dc.subjectmechanicsen
dc.subjectfinite-element approximationen
dc.subjectequationsen
dc.subjectdynamicsen
dc.subjectmathematics, applieden
dc.titleAnalysis and approximation of the velocity tracking problem for Navier-Stokes flows with distributed controlen
dc.title.serialSiam Journal on Numerical Analysisen
dc.typeArticle - Refereeden

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
s0036142997329414.pdf
Size:
636.18 KB
Format:
Adobe Portable Document Format
Description:
Main article
Download

Collections

Scholarly Works, Mathematics