Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems

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IAPICHINO, Laura, Stefan TRENZ, Stefan VOLKWEIN, 2015. Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems

@techreport{Iapichino2015Reduc-32813, series={Konstanzer Schriften in Mathematik}, title={Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems}, year={2015}, number={347}, author={Iapichino, Laura and Trenz, Stefan and Volkwein, Stefan} }

<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/123456789/32813"> <dc:creator>Volkwein, Stefan</dc:creator> <dc:creator>Trenz, Stefan</dc:creator> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-02-02T13:05:03Z</dc:date> <dcterms:issued>2015</dcterms:issued> <dc:contributor>Volkwein, Stefan</dc:contributor> <dcterms:rights rdf:resource="http://nbn-resolving.de/urn:nbn:de:bsz:352-20150914100631302-4485392-8"/> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/32813"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-02-02T13:05:03Z</dcterms:available> <dc:language>eng</dc:language> <dc:creator>Iapichino, Laura</dc:creator> <dcterms:title>Reduced-Order Multiobjective Optimal Control of Semilinear Parabolic Problems</dcterms:title> <dc:contributor>Iapichino, Laura</dc:contributor> <dcterms:abstract xml:lang="eng">In this paper a reduced-order strategy is applied to solve a multiobjective optimal control problem governed by semilinear parabolic partial differential equations. These problems often arise in practical applications, where the quality of the system behavior has to be measured by more than one criterium. The weighted sum method is exploited for defining scalar-valued nonlinear optimal control problems built by introducing additional optimization parameters. The optimal controls corresponding to specific choices of the optimization parameters are efficiently computed by the reduced-order method. The accuracy is guaranteed by an a-posteriori error estimate.</dcterms:abstract> <dc:contributor>Trenz, Stefan</dc:contributor> </rdf:Description> </rdf:RDF>

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