Greedy Sampling Using Nonlinear Optimization


Dateien zu dieser Ressource

Dateien Größe Format Anzeige

Zu diesem Dokument gibt es keine Dateien.

URBAN, Karsten, Stefan VOLKWEIN, Oliver ZEEB, 2014. Greedy Sampling Using Nonlinear Optimization. In: QUARTERONI, Alfio, ed. and others. Reduced order methods for modeling and computational reduction. Cham [u.a.]:Springer, pp. 137-157. ISBN 978-3-319-02089-1

@incollection{Urban2014Greed-32973, title={Greedy Sampling Using Nonlinear Optimization}, year={2014}, doi={10.1007/978-3-319-02090-7_5}, number={9}, isbn={978-3-319-02089-1}, address={Cham [u.a.]}, publisher={Springer}, series={Modeling, Simulation & Applications}, booktitle={Reduced order methods for modeling and computational reduction}, pages={137--157}, editor={Quarteroni, Alfio}, author={Urban, Karsten and Volkwein, Stefan and Zeeb, Oliver} }

<rdf:RDF xmlns:rdf="" xmlns:bibo="" xmlns:dc="" xmlns:dcterms="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dcterms:issued>2014</dcterms:issued> <dc:language>eng</dc:language> <dc:date rdf:datatype="">2016-02-15T14:06:11Z</dc:date> <dcterms:title>Greedy Sampling Using Nonlinear Optimization</dcterms:title> <dc:contributor>Zeeb, Oliver</dc:contributor> <bibo:uri rdf:resource=""/> <dc:creator>Urban, Karsten</dc:creator> <dc:creator>Zeeb, Oliver</dc:creator> <dc:contributor>Volkwein, Stefan</dc:contributor> <dc:contributor>Urban, Karsten</dc:contributor> <dcterms:abstract xml:lang="eng">We consider the reduced basis generation in the offline stage. As an alternative for standard Greedy-training methods based upon a-posteriori error estimates on a training subset of the parameter set, we consider a nonlinear optimization combined with a Greedy method. We define an optimization problem for selecting a new parameter value on a given reduced space. This new parameter is then used -in a Greedy fashion- to determine the corresponding snapshot and to update the reduced basis. We show the well-posedness of this nonlinear optimization problem and derive first- and second-order optimality conditions. Numerical comparisons with the standard Greedy-training method are shown.</dcterms:abstract> <dc:creator>Volkwein, Stefan</dc:creator> <dcterms:available rdf:datatype="">2016-02-15T14:06:11Z</dcterms:available> </rdf:Description> </rdf:RDF>

Das Dokument erscheint in:

KOPS Suche


Mein Benutzerkonto