A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem
| dc.contributor.author | Kasumba, Henry | |
| dc.contributor.author | Kunisch, Karl | |
| dc.contributor.author | Laurain, Antoine | |
| dc.date.accessioned | 2019-01-10T09:22:47Z | |
| dc.date.available | 2019-01-10T09:22:47Z | |
| dc.date.issued | 2014 | |
| dc.description | Dieser Beitrag ist mit Zustimmung des Rechteinhabers aufgrund einer (DFG geförderten) Allianz- bzw. Nationallizenz frei zugänglich. | de |
| dc.description | This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively. | en |
| dc.description.abstract | A bilevel shape optimization problem with the exterior Bernoulli free boundary problem as lowerlevel problem and the control of the free boundary as the upper-level problem is considered. Using the shape of the inner boundary as the control, we aim at reaching a specific shape for the free boundary. A rigorous sensitivity analysis of the bilevel shape optimization in the infinite-dimensional setting is performed. The numerical realization using two different cost functionals presented in this paper demonstrate the efficiency of the approach. | en |
| dc.description.sponsorship | FWF, SFB F32, Mathematical Optimization and Applications in Biomedical Sciences | en |
| dc.description.sponsorship | DFG, MATHEON C37, Shape/Topology optimization methods for inverse problems | en |
| dc.identifier.eissn | 1463-9971 | |
| dc.identifier.issn | 1463-9963 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/8971 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-8097 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | de |
| dc.subject.other | Bernoulli free boundary problem | en |
| dc.subject.other | shape optimization | en |
| dc.subject.other | multilevel optimization | en |
| dc.title | A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.doi | 10.4171/IFB/326 | en |
| dcterms.bibliographicCitation.issue | 4 | en |
| dcterms.bibliographicCitation.journaltitle | Interfaces and free boundaries | en |
| dcterms.bibliographicCitation.originalpublishername | European Mathematical Society | en |
| dcterms.bibliographicCitation.originalpublisherplace | Zürich | en |
| dcterms.bibliographicCitation.pageend | 487 | en |
| dcterms.bibliographicCitation.pagestart | 459 | en |
| dcterms.bibliographicCitation.volume | 16 | en |
| tub.accessrights.dnb | domain | 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 |