POD-based multiobjective optimal control of PDEs with non-smooth objectives

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BEERMANN, Dennis, Michael DELLNITZ, Sebastian PEITZ, Stefan VOLKWEIN, 2017. POD-based multiobjective optimal control of PDEs with non-smooth objectives. In: Proceedings in Applied Mathematics and Mechanics (PAMM). eISSN 1617-7061

@article{Beermann2017POD-b-39338, title={POD-based multiobjective optimal control of PDEs with non-smooth objectives}, year={2017}, journal={Proceedings in Applied Mathematics and Mechanics (PAMM)}, author={Beermann, Dennis and Dellnitz, Michael and Peitz, Sebastian 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/123456789/39338"> <dc:creator>Beermann, Dennis</dc:creator> <dcterms:title>POD-based multiobjective optimal control of PDEs with non-smooth objectives</dcterms:title> <dc:contributor>Beermann, Dennis</dc:contributor> <dc:creator>Dellnitz, Michael</dc:creator> <dc:creator>Volkwein, Stefan</dc:creator> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-06-21T15:02:15Z</dc:date> <dcterms:abstract xml:lang="eng">A framework for set-oriented multiobjective optimal control of partial differential equations using reduced order modeling has recently been developed \cite{BDPV17}. Following concepts from localized reduced bases methods, error estimators for the reduced cost functionals are utilized to construct a library of locally valid reduced order models. This way, a superset of the Pareto set can efficiently be computed while maintaining a prescribed error bound. In this article, this algorithm is applied to a problem with non-smooth objective functionals. It is shown that the extension to non-smooth problems can be realized in a straightforward manner and the implications on the numerical results are discussed.</dcterms:abstract> <dc:creator>Peitz, Sebastian</dc:creator> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/39338"/> <dc:contributor>Peitz, Sebastian</dc:contributor> <dc:language>eng</dc:language> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-06-21T15:02:15Z</dcterms:available> <dc:contributor>Dellnitz, Michael</dc:contributor> <dcterms:issued>2017</dcterms:issued> <dc:contributor>Volkwein, Stefan</dc:contributor> </rdf:Description> </rdf:RDF>

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