A priori error estimates for state constrained semilinear parabolic optimal control problems
A priori error estimates for state constrained semilinear parabolic optimal control problems
dc.contributor.author | Ludovici, Francesco | |
dc.contributor.author | Neitzel, Ira | |
dc.contributor.author | Wollner, Winnifried | |
dc.date.accessioned | 2024-08-15T11:11:12Z | |
dc.date.available | 2024-08-15T11:11:12Z | |
dc.date.issued | 02.2016 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/11850 | |
dc.description.abstract | We consider the finite element discretization of semilinear parabolic optimization problems subject to pointwise in time constraints on mean values of the state variable. In contrast to many results in numerical analysis of optimization problems subject to semilinear parabolic equations, we assume weak second order sufficient conditions. Relying on the resulting quadratic growth condition of the continuous problem, we derive rates of convergence as temporal and spatial mesh sizes tend to zero. | en |
dc.format.extent | 29 | |
dc.language.iso | eng | |
dc.relation.ispartofseries | INS Preprints ; 1605 | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Optimal control | |
dc.subject | Semilinear parabolic PDE | |
dc.subject | State constraints | |
dc.subject | Pointwise in time constraints | |
dc.subject | Space-time a priori error estimates | |
dc.subject.ddc | 510 Mathematik | |
dc.subject.ddc | 518 Numerische Analysis | |
dc.title | A priori error estimates for state constrained semilinear parabolic optimal control problems | |
dc.type | Preprint | |
dc.publisher.name | Institut für Numerische Simulation (INS) | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.relation.doi | https://doi.org/10.1007/s10957-018-1311-8 | |
ulbbn.pubtype | Zweitveröffentlichung | |
dcterms.bibliographicCitation.url | https://ins.uni-bonn.de/publication/preprints |
Dateien zu dieser Ressource
Das Dokument erscheint in:
-
INS Preprints (153)