KOPS - The Institutional Repository of the University of Konstanz

Comparison of the Reduced-Basis and POD a-Posteriori Error Estimators for an Elliptic Linear-Quadratic Optimal Control Problem

Comparison of the Reduced-Basis and POD a-Posteriori Error Estimators for an Elliptic Linear-Quadratic Optimal Control Problem

Cite This

Files in this item

Files Size Format View

There are no files associated with this item.

TONN, Timo, Karsten URBAN, Stefan VOLKWEIN, 2011. Comparison of the Reduced-Basis and POD a-Posteriori Error Estimators for an Elliptic Linear-Quadratic Optimal Control Problem. In: Mathematical and Computer Modelling of Dynamical Systems. 17(4), pp. 355-369. ISSN 1387-3954. Available under: doi: 10.1080/13873954.2011.547678

@article{Tonn2011Compa-15354, title={Comparison of the Reduced-Basis and POD a-Posteriori Error Estimators for an Elliptic Linear-Quadratic Optimal Control Problem}, year={2011}, doi={10.1080/13873954.2011.547678}, number={4}, volume={17}, issn={1387-3954}, journal={Mathematical and Computer Modelling of Dynamical Systems}, pages={355--369}, author={Tonn, Timo and Urban, Karsten 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/123456789/15354"> <dcterms:abstract xml:lang="eng">In this article, a linear-quadratic optimal control problem governed by the Helmholtz equation is considered. For the computation of suboptimal solutions, two different model reduction techniques are compared: the reduced-basis method (RBM) and proper orthogonal decomposition (POD). By an a-posteriori error estimator for the optimal control problem the accuracy of the suboptimal solutions is ensured. The efficiency of both model reduction approaches is illustrated by a numerical example for the stationary Helmholtz equation</dcterms:abstract> <dc:creator>Urban, Karsten</dc:creator> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:issued>2011</dcterms:issued> <dcterms:bibliographicCitation>Publ. in: Mathematical and Computer Modelling of Dynamical Systems ; 17 (2011), 4. - S. 355-369</dcterms:bibliographicCitation> <dc:creator>Tonn, Timo</dc:creator> <dc:creator>Volkwein, Stefan</dc:creator> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/15354"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-01-10T10:03:59Z</dcterms:available> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dcterms:title>Comparison of the Reduced-Basis and POD a-Posteriori Error Estimators for an Elliptic Linear-Quadratic Optimal Control Problem</dcterms:title> <dc:rights>terms-of-use</dc:rights> <dc:language>eng</dc:language> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-01-10T10:03:59Z</dc:date> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dc:contributor>Tonn, Timo</dc:contributor> <dc:contributor>Urban, Karsten</dc:contributor> <dc:contributor>Volkwein, Stefan</dc:contributor> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> </rdf:Description> </rdf:RDF>

This item appears in the following Collection(s)

Search KOPS


Browse

My Account