Error estimates for the finite-element approximation of a semilinear elliptic control problem
dc.contributor.author | Casas, Eduardo | |
dc.contributor.author | Tröltzsch, Fredi | |
dc.date.accessioned | 2021-12-17T10:05:12Z | |
dc.date.available | 2021-12-17T10:05:12Z | |
dc.date.issued | 2002-02-01 | |
dc.description.abstract | We 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.issn | 2197-8085 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15459 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14232 | |
dc.language.iso | en | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.ddc | 510 Mathematik | en |
dc.subject.other | optimal control problems involving partial differential equations | en |
dc.subject.other | problems involving partial differential equations | en |
dc.subject.other | methods based on necessary conditions | en |
dc.subject.other | optimization and variational techniques | en |
dc.title | Error estimates for the finite-element approximation of a semilinear elliptic control problem | en |
dc.type | Research Paper | en |
dc.type.version | submittedVersion | en |
tub.accessrights.dnb | free | en |
tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
tub.affiliation.institute | Inst. Mathematik | de |
tub.publisher.universityorinstitution | Technische Universität Berlin | en |
tub.series.issuenumber | 2002, 748 | en |
tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
tub.subject.msc2000 | 49J20 Optimal control problems involving partial differential equations | en |
tub.subject.msc2000 | 49K20 Problems involving partial differential equations | en |
tub.subject.msc2000 | 49M05 Methods based on necessary conditions | en |
tub.subject.msc2000 | 65K10 Optimization and variational techniques | en |