Error estimates for the numerical approximation of boundary semilinear elliptic control problems
dc.contributor.author | Casas, Eduardo | |
dc.contributor.author | Mateos, Mariano | |
dc.contributor.author | Tröltzsch, Fredi | |
dc.date.accessioned | 2021-12-17T10:05:36Z | |
dc.date.available | 2021-12-17T10:05:36Z | |
dc.date.issued | 2003-08-26 | |
dc.description.abstract | We 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.issn | 2197-8085 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15498 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14271 | |
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 | boundary control | en |
dc.subject.other | semilinear elliptic equation | en |
dc.subject.other | numerical approximation | en |
dc.subject.other | error estimates | en |
dc.title | Error estimates for the numerical approximation of boundary semilinear elliptic control problems | 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 | 2003, 21 | en |
tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
tub.subject.msc2000 | 49K20 Problems involving partial differential equations | en |
tub.subject.msc2000 | 49N10 Linear-quadratic problems | en |
tub.subject.msc2000 | 90C46 Optimality conditions, duality | en |
tub.subject.msc2000 | 49M20 Methods of relaxation type | en |