Error estimates for the finite-element approximation of a semilinear elliptic control problem

dc.contributor.authorCasas, Eduardo
dc.contributor.authorTröltzsch, Fredi
dc.date.accessioned2021-12-17T10:05:12Z
dc.date.available2021-12-17T10:05:12Z
dc.date.issued2002-02-01
dc.description.abstractWe consider the finite-element approximation of a distributed optimal control problem governed by a semilinear elliptic partial differential equation, where pointwise constraints on the control are given. We prove the existence of local approximate solutions converging to a given local reference solution. Moreover, we derive error estimates for local solutions in the maximum norm.en
dc.identifier.issn2197-8085
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15459
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14232
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc510 Mathematiken
dc.subject.otheroptimal control problems involving partial differential equationsen
dc.subject.otherproblems involving partial differential equationsen
dc.subject.othermethods based on necessary conditionsen
dc.subject.otheroptimization and variational techniquesen
dc.titleError estimates for the finite-element approximation of a semilinear elliptic control problemen
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.issuenumber2002, 748en
tub.series.namePreprint-Reihe des Instituts für Mathematik, Technische Universität Berlinen
tub.subject.msc200049J20 Optimal control problems involving partial differential equationsen
tub.subject.msc200049K20 Problems involving partial differential equationsen
tub.subject.msc200049M05 Methods based on necessary conditionsen
tub.subject.msc200065K10 Optimization and variational techniquesen
Files
Original bundle
Now showing 1 - 2 of 2
Loading…
Thumbnail Image
Name:
ppr748-02.pdf
Size:
170.74 KB
Format:
Adobe Portable Document Format
Description:
Loading…
Thumbnail Image
Name:
ppr748-02.ps
Size:
329.23 KB
Format:
Postscript Files
Description:
Collections