Solving Time-Dependent Optimal Control Problems in Comsol Multiphysics by Space-Time Discretizations

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dc.contributor.authorNeitzel, Ira
dc.contributor.authorPrüfert, Uwe
dc.contributor.authorSlawig, Thomas
dc.date.accessioned2022-05-11T12:11:41Z
dc.date.available2022-05-11T12:11:41Z
dc.date.issued2009-02-10
dc.description.abstractWe use COMSOL Multiphysics to solve time-dependent optimal control problems for partial differential equations whose optimality conditions can be formulated as a PDE. For a class of linear-quadratic model problems we summarize known analytic results on existence of solutions and first order optimality conditions that exhibit the typical feature of time-dependent control problems, namely the fact that a part of the optimality system has to be integrated backward in time. We present a strategy that is based on the treatment of the coupled optimality system in the space-time cylinder. A brief motivation of this approach is given by showing that the optimality system is elliptic in some sence. Numerical examples show advantages and limits of the usage of COMSOL Multiphysics and of our approach.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/16897
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-15675
dc.language.isoen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subject.ddc510 Mathematiken
dc.subject.otheroptimal control of PDEsen
dc.subject.otherfinite element methoden
dc.subject.otherCOMSOL Multiphysicsen
dc.titleSolving Time-Dependent Optimal Control Problems in Comsol Multiphysics by Space-Time Discretizationsen
dc.typeResearch Paperen
dc.type.versionsubmittedVersionen
tub.accessrights.dnbfree
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.issuenumber2009, 04en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200049K20 Problems involving partial differential equationsen
tub.subject.msc200065M60 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methodsen

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