Numerical Analysis of Optimality-System POD for Constrained Optimal Control

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GRIMM, Eva, Martin GUBISCH, Stefan VOLKWEIN, 2015. Numerical Analysis of Optimality-System POD for Constrained Optimal Control

@unpublished{Grimm2015Numer-30103, title={Numerical Analysis of Optimality-System POD for Constrained Optimal Control}, year={2015}, author={Grimm, Eva and Gubisch, Martin and Volkwein, Stefan}, note={Beitrag wird veröffentlicht in "Lecture Notes in Computational Science and Engineering"} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/30103"> <dc:contributor>Volkwein, Stefan</dc:contributor> <dc:language>eng</dc:language> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-02-27T10:30:52Z</dc:date> <dc:creator>Gubisch, Martin</dc:creator> <dc:creator>Volkwein, Stefan</dc:creator> <dc:contributor>Grimm, Eva</dc:contributor> <dc:creator>Grimm, Eva</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-02-27T10:30:52Z</dcterms:available> <dcterms:abstract xml:lang="eng">In this work linear-quadratic optimal control problems for parabolic equa- tions with control and state constraints are considered. Utilizing a Lavrentiev regu- larization we obtain a linear-quadratic optimal control problem with mixed control- state constraints. For the numerical solution a Galerkin discretization is applied uti- lizing proper orthogonal decomposition (POD). Based on a perturbation method it is determined by a-posteriori error analysis how far the suboptimal control, com- puted on the basis of the POD method, is from the (unknown) exact one. POD basis updates are computed by optimality-system POD. Numerical examples illustrate the theoretical results for control and state constrained optimal control problems.</dcterms:abstract> <dcterms:title>Numerical Analysis of Optimality-System POD for Constrained Optimal Control</dcterms:title> <dc:contributor>Gubisch, Martin</dc:contributor> <dcterms:issued>2015</dcterms:issued> <dcterms:rights rdf:resource="http://nbn-resolving.org/urn:nbn:de:bsz:352-20140905103605204-4002607-1"/> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/30103"/> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 27.02.2015 (Informationen über die Zugriffsstatistik)

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