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@unpublished{Grimm2015Numer-30103, title={Numerical Analysis of Optimality-System POD for Constrained Optimal Control}, year={2015}, author={Grimm, Eva and Gubisch, Martin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:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:isPartOf rdf:resource=""/> <dc:contributor>Volkwein, Stefan</dc:contributor> <dc:language>eng</dc:language> <dspace:hasBitstream rdf:resource=""/> <dc:date rdf:datatype="">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> <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> <dc:creator>Grimm, Eva</dc:creator> <dcterms:available rdf:datatype="">2015-02-27T10:30:52Z</dcterms:available> <dcterms:title>Numerical Analysis of Optimality-System POD for Constrained Optimal Control</dcterms:title> <dc:rights>terms-of-use</dc:rights> <dcterms:rights rdf:resource=""/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dspace:isPartOfCollection rdf:resource=""/> <dcterms:hasPart rdf:resource=""/> <dc:contributor>Gubisch, Martin</dc:contributor> <dcterms:issued>2015</dcterms:issued> <bibo:uri rdf:resource=""/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> </rdf:Description> </rdf:RDF>

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