L∞-Estimates for Approximated Optimal Control Problems
| dc.contributor.author | Meyer, Christian | |
| dc.contributor.author | Roesch, Arnd | |
| dc.date.accessioned | 2021-12-17T10:06:01Z | |
| dc.date.available | 2021-12-17T10:06:01Z | |
| dc.date.issued | 2004-09-01 | |
| dc.description.abstract | An optimal control problem for a 2-d elliptic equation is investigated with pointwise control constraints. This paper is concerned with the discretization of the control by piecewise linear functions. The state and the adjoint state are discretized by linear finite elements. Approximation of order $h$ in the $L^\infty$-norm is proved in the main result. The theoretical result is confirmed by a numerical test. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15532 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14305 | |
| 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 | linear-quadratic optimal control problems | en |
| dc.subject.other | error estimates | en |
| dc.subject.other | elliptic equations | en |
| dc.subject.other | numerical approximation | en |
| dc.subject.other | control constraints | en |
| dc.title | L∞-Estimates for Approximated Optimal 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 | 2004, 22 | 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 | 49M25 Discrete approximations | en |