On two numerical methods for state-constrained elliptic control problems
| dc.contributor.author | Meyer, Christian | |
| dc.contributor.author | Pruefert, Uwe | |
| dc.contributor.author | Tröltzsch, Fredi | |
| dc.date.accessioned | 2021-12-17T10:06:40Z | |
| dc.date.available | 2021-12-17T10:06:40Z | |
| dc.date.issued | 2005-02-18 | |
| dc.description.abstract | A linear-quadratic elliptic control problem with pointwise box constraints on the state is considered. The state-constraints are treated by a Lavrentiev type regularization. It is known that the Lagrange multipliers associated with the regularized state-constraints are functions in L^2. Moreover, the convergence of the optimal control of the regularized problem is proven for regularization parameter tending to zero. To solve the problem numerically, an interior point method and a primal-dual active set strategy are implemented and tested in function space. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15573 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14346 | |
| 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 elliptic equations | en |
| dc.subject.other | quadratic optimal control problem | en |
| dc.subject.other | pointwise state constraints | en |
| dc.subject.other | interior point method | en |
| dc.subject.other | active set strategy | en |
| dc.title | On two numerical methods for state-constrained 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 | 2005, 05 | 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 | 49M20 Methods of relaxation type | en |
| tub.subject.msc2000 | 90C51 Interior-point methods | en |
| tub.subject.msc2000 | 65K10 Optimization and variational techniques | en |