Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location
Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location
Vorschaubild nicht verfügbar
Dateien
Zu diesem Dokument gibt es keine Dateien.
Datum
2014
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
eISSN
item.preview.dc.identifier.isbn
Bibliografische Daten
Verlag
Schriftenreihe
DOI (zitierfähiger Link)
Internationale Patentnummer
Link zur Lizenz
oops
EU-Projektnummer
Projekt
Open Access-Veröffentlichung
Sammlungen
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
Computational Optimization and Applications ; 58 (2014), 3. - S. 645-677. - ISSN 0926-6003. - eISSN 1573-2894
Zusammenfassung
The construction of reduced-order models for parametrized partial differential systems using proper orthogonal decomposition (POD) is based on the information of the so-called snapshots. These provide the spatial distribution of the nonlinear system at discrete parameter and/or time instances. In this work a strategy is used, where the POD reduced-order model is improved by choosing additional snapshot locations in an optimal way; see Kunisch and Volkwein (ESAIM: M2AN, 44:509–529, 2010). These optimal snapshot locations influences the POD basis functions and therefore the POD reduced-order model. This strategy is used to build up a POD basis on a parameter set in an adaptive way. The approach is illustrated by the construction of the POD reduced-order model for the complex-valued Helmholtz equation.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Konferenz
Rezension
undefined / . - undefined, undefined. - (undefined; undefined)
Zitieren
ISO 690
LASS, Oliver, Stefan VOLKWEIN, 2014. Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location. In: Computational Optimization and Applications. 58(3), pp. 645-677. ISSN 0926-6003. eISSN 1573-2894. Available under: doi: 10.1007/s10589-014-9646-zBibTex
@article{Lass2014Adapt-32340, year={2014}, doi={10.1007/s10589-014-9646-z}, title={Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location}, number={3}, volume={58}, issn={0926-6003}, journal={Computational Optimization and Applications}, pages={645--677}, author={Lass, Oliver and Volkwein, Stefan} }
RDF
<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/server/rdf/resource/123456789/32340"> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-12-04T09:59:23Z</dcterms:available> <dc:language>eng</dc:language> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:contributor>Lass, Oliver</dc:contributor> <dc:contributor>Volkwein, Stefan</dc:contributor> <foaf:homepage rdf:resource="http://localhost:8080/"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-12-04T09:59:23Z</dc:date> <dcterms:abstract xml:lang="eng">The construction of reduced-order models for parametrized partial differential systems using proper orthogonal decomposition (POD) is based on the information of the so-called snapshots. These provide the spatial distribution of the nonlinear system at discrete parameter and/or time instances. In this work a strategy is used, where the POD reduced-order model is improved by choosing additional snapshot locations in an optimal way; see Kunisch and Volkwein (ESAIM: M2AN, 44:509–529, 2010). These optimal snapshot locations influences the POD basis functions and therefore the POD reduced-order model. This strategy is used to build up a POD basis on a parameter set in an adaptive way. The approach is illustrated by the construction of the POD reduced-order model for the complex-valued Helmholtz equation.</dcterms:abstract> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/32340"/> <dc:creator>Volkwein, Stefan</dc:creator> <dcterms:issued>2014</dcterms:issued> <dcterms:title>Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location</dcterms:title> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/> <dc:creator>Lass, Oliver</dc:creator> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/> </rdf:Description> </rdf:RDF>
Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja