Error estimates for parabolic optimal control problems with control constraints

dc.contributor.authorRösch, Arnd
dc.date.accessioned2021-12-17T10:05:37Z
dc.date.available2021-12-17T10:05:37Z
dc.date.issued2003-07-17
dc.description.abstractAn optimal control problem for the 1-d heat equation is investigated with pointwise control constraints. This paper is concerned with the discretization of the control by piecewise linear functions. The connection between the solutions of the discretized problems and the continuous one is investigated. Under an additional assumption on the adjoint state an approximation order $\sigma^{3/2}$ is proved for uniform discretizations. In the general case it is shown that a non-uniform control discretization ensure an approximation of order $\sigma^{3/2}$. Numerical tests confirm the theoretical part.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15499
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14272
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherlinear-quadratic optimal control problemsen
dc.subject.othererror estimatesen
dc.subject.otherheat equationen
dc.subject.othernon-uniform gridsen
dc.subject.othernumerical approximationen
dc.subject.othercontrol constraintsen
dc.titleError estimates for parabolic optimal control problems with control constraintsen
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.issuenumber2003, 18en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200049N10 Linear-quadratic problemsen
tub.subject.msc200065K10 Optimization and variational techniquesen
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