POD basis updates for nonlinear PDE control

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GRÄSSLE, Carmen, Martin GUBISCH, Simone METZDORF, Sabrina ROGG, Stefan VOLKWEIN, 2017. POD basis updates for nonlinear PDE control. In: at - Automatisierungstechnik. 65(5), pp. 298-307. ISSN 0340-434X. eISSN 2196-677X

@article{Grale2017basis-34979, title={POD basis updates for nonlinear PDE control}, year={2017}, doi={10.1515/auto-2016-0100}, number={5}, volume={65}, issn={0340-434X}, journal={at - Automatisierungstechnik}, pages={298--307}, author={Gräßle, Carmen and Gubisch, Martin and Metzdorf, Simone and Rogg, Sabrina 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/123456789/34979"> <dc:creator>Volkwein, Stefan</dc:creator> <dc:creator>Gubisch, Martin</dc:creator> <dc:language>eng</dc:language> <dcterms:abstract xml:lang="eng">In the present paper a semilinear boundary control problem is considered. For its numerical solution proper orthogonal decomposition (POD) is applied. POD is based on a Galerkin type discretization with basis elements created from the evolution problem itself. In the context of optimal control this approach may suffer from the fact that the basis elements are computed from a reference trajectory containing features which are quite different from those of the optimally controlled trajectory. Therefore, different POD basis update strategies which avoids this problem of unmodelled dynamics are com- pared numerically.</dcterms:abstract> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-08-08T12:49:08Z</dcterms:available> <dc:creator>Gräßle, Carmen</dc:creator> <dc:contributor>Gräßle, Carmen</dc:contributor> <dc:contributor>Volkwein, Stefan</dc:contributor> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/34979"/> <dcterms:issued>2017</dcterms:issued> <dc:contributor>Rogg, Sabrina</dc:contributor> <dc:contributor>Gubisch, Martin</dc:contributor> <dc:contributor>Metzdorf, Simone</dc:contributor> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-08-08T12:49:08Z</dc:date> <dc:creator>Metzdorf, Simone</dc:creator> <dc:creator>Rogg, Sabrina</dc:creator> <dcterms:title>POD basis updates for nonlinear PDE control</dcterms:title> <dcterms:alternative>POD Basis Updates zur Steuerung nichtlinearer partieller Differentialgleichungen</dcterms:alternative> </rdf:Description> </rdf:RDF>

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