Error estimates for the numerical approximation of boundary semilinear elliptic control problems

dc.contributor.authorCasas, Eduardo
dc.contributor.authorMateos, Mariano
dc.contributor.authorTröltzsch, Fredi
dc.date.accessioned2021-12-17T10:05:36Z
dc.date.available2021-12-17T10:05:36Z
dc.date.issued2003-08-26
dc.description.abstractWe study the numerical approximation of boundary optimal control problems governed by semilinear elliptic partial differential equations with pointwise constraints on the control. The analysis of the approximate control problems is carried out. The uniform convergence of discretized controls to optimal controls is proven under natural assumptions by taking piecewise constant controls. Finally, error estimates are established.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15498
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14271
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otherboundary controlen
dc.subject.othersemilinear elliptic equationen
dc.subject.othernumerical approximationen
dc.subject.othererror estimatesen
dc.titleError estimates for the numerical approximation of boundary semilinear elliptic control problemsen
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, 21en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200049K20 Problems involving partial differential equationsen
tub.subject.msc200049N10 Linear-quadratic problemsen
tub.subject.msc200090C46 Optimality conditions, dualityen
tub.subject.msc200049M20 Methods of relaxation typeen

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