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Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation

Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation

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BANHOLZER, Stefan, Dennis BEERMANN, 2016. Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation

@techreport{Banholzer2016Optim-36389, title={Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation}, year={2016}, author={Banholzer, Stefan and Beermann, Dennis}, note={The present document contains extensive theoretical analysis which is needed for an upcoming article in cooperation with researchers from the Paderborn University.} }

<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/123456789/36389"> <dc:language>eng</dc:language> <dc:creator>Banholzer, Stefan</dc:creator> <dcterms:abstract xml:lang="eng">In the present paper, a linear parabolic evolution equation is considered whose bilinear form is controlled from a general Banach space. The control-to-state operator and some important properties thereof are presented. For a quadratic objective function, the gradient in the control space is derived. A-posteriori error estimators are presented for a given reduced-order model (ROM) with respect to both the cost function and the gradient.</dcterms:abstract> <dcterms:rights rdf:resource="http://nbn-resolving.de/urn:nbn:de:bsz:352-20150914100631302-4485392-8"/> <dc:creator>Beermann, Dennis</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-12-19T08:27:01Z</dcterms:available> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/36389"/> <dcterms:title>Optimal control and model-order reduction of an abstract parabolic system containing a controlled bilinear form : Applied to the example of a controlled advection term in an advection-diffusion equation</dcterms:title> <dcterms:issued>2016</dcterms:issued> <dc:contributor>Banholzer, Stefan</dc:contributor> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-12-19T08:27:01Z</dc:date> <dc:contributor>Beermann, Dennis</dc:contributor> </rdf:Description> </rdf:RDF>

Dateiabrufe seit 19.12.2016 (Informationen über die Zugriffsstatistik)

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