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

Zitieren

Dateien zu dieser Ressource

Dateien Größe Format Anzeige

Zu diesem Dokument gibt es keine Dateien.

BEERMANN, Dennis, Michael DELLNITZ, Sebastian PEITZ, Stefan VOLKWEIN, 2017. POD-based multiobjective optimal control of PDEs with non-smooth objectives. 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Weimar, 6. Mär 2017 - 10. Mär 2017. In: KÖNKE, Carsten, ed. and others. Special issue: 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM). Weimar, 6. Mär 2017 - 10. Mär 2017. Weinheim:Wiley, pp. 51-54. eISSN 1617-7061. Available under: doi: 10.1002/pamm.201710015

@inproceedings{Beermann2017PODba-39338.2, title={POD-based multiobjective optimal control of PDEs with non-smooth objectives}, year={2017}, doi={10.1002/pamm.201710015}, number={17,1}, address={Weinheim}, publisher={Wiley}, series={Proceedings in Applied Mathematics and Mechanics (PAMM)}, booktitle={Special issue: 88th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)}, pages={51--54}, editor={Könke, Carsten}, author={Beermann, Dennis and Dellnitz, Michael and Peitz, Sebastian and Volkwein, Stefan} }

<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/39338.2"> <dc:creator>Peitz, Sebastian</dc:creator> <dc:contributor>Peitz, Sebastian</dc:contributor> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dc:contributor>Volkwein, Stefan</dc:contributor> <dcterms:issued>2017</dcterms:issued> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/39338.2"/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:title>POD-based multiobjective optimal control of PDEs with non-smooth objectives</dcterms:title> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-04-09T12:48:17Z</dcterms:available> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:creator>Dellnitz, Michael</dc:creator> <dc:creator>Volkwein, Stefan</dc:creator> <dc:contributor>Beermann, Dennis</dc:contributor> <dc:creator>Beermann, Dennis</dc:creator> <dc:language>eng</dc:language> <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:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-04-09T12:48:17Z</dc:date> <dc:contributor>Dellnitz, Michael</dc:contributor> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> </rdf:Description> </rdf:RDF>

Das Dokument erscheint in:

Versionsgeschichte

Version Dokument Datum Zusammenfassung Publikationsstatus

* Ausgewählte Version

KOPS Suche


Stöbern

Mein Benutzerkonto