Error estimates for parabolic optimal control problems with control constraints
| dc.contributor.author | Rösch, Arnd | |
| dc.date.accessioned | 2021-12-17T10:05:37Z | |
| dc.date.available | 2021-12-17T10:05:37Z | |
| dc.date.issued | 2003-07-17 | |
| dc.description.abstract | An optimal control problem for the 1-d heat equation is investigated with pointwise control constraints. This paper is concerned with the discretization of the control by piecewise linear functions. The connection between the solutions of the discretized problems and the continuous one is investigated. Under an additional assumption on the adjoint state an approximation order $\sigma^{3/2}$ is proved for uniform discretizations. In the general case it is shown that a non-uniform control discretization ensure an approximation of order $\sigma^{3/2}$. Numerical tests confirm the theoretical part. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15499 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14272 | |
| 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 | heat equation | en |
| dc.subject.other | non-uniform grids | en |
| dc.subject.other | numerical approximation | en |
| dc.subject.other | control constraints | en |
| dc.title | Error estimates for parabolic optimal control problems with control constraints | 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, 18 | en |
| tub.series.name | Preprint-Reihe des Instituts fĂ¼r Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 49N10 Linear-quadratic problems | en |
| tub.subject.msc2000 | 65K10 Optimization and variational techniques | en |