Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization
Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization
dc.contributor.author | Hoppe, Fabian | |
dc.contributor.author | Neitzel, Ira | |
dc.date.accessioned | 2024-08-08T11:53:47Z | |
dc.date.available | 2024-08-08T11:53:47Z | |
dc.date.issued | 01.2022 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11811/11788 | |
dc.description.abstract | We prove first- and second-order optimality conditions for sparse, purely time-dependent optimal control problems governed by a quasilinear parabolic PDE. In particular, we analyze sparsity patterns of the optimal controls induced by different sparsity enforcing functionals in the purely time-dependent control case and illustrate them by numerical examples. Our findings are based on results obtained by abstraction of well known techniques from the literature. | en |
dc.format.extent | 29 | |
dc.language.iso | eng | |
dc.relation.ispartofseries | INS Preprints ; 2201 | |
dc.rights | In Copyright | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Optimal control | |
dc.subject | (directional) sparsity | |
dc.subject | purely time-dependent control | |
dc.subject | second-order optimality conditions | |
dc.subject | quasilinear parabolic equations | |
dc.subject.ddc | 510 Mathematik | |
dc.subject.ddc | 518 Numerische Analysis | |
dc.title | Purely time-dependent optimal control of quasilinear parabolic PDEs with sparsity enforcing penalization | |
dc.type | Preprint | |
dc.publisher.name | Institut für Numerische Simulation | |
dc.publisher.location | Bonn | |
dc.rights.accessRights | openAccess | |
dc.relation.doi | https://doi.org/10.1051/cocv/2022058 | |
ulbbn.pubtype | Zweitveröffentlichung | |
dcterms.bibliographicCitation.url | https://ins.uni-bonn.de/publication/preprints |
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