Publikation:

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

Vorschaubild

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2011

Autor:innen

Tonn, Timo
Urban, Karsten

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
http://nbn-resolving.de/urn:nbn:de:bsz:352-153540
DOI (zitierfähiger Link)
https://doi.org/10.1080/13873954.2011.547678
ArXiv-ID

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung

Sammlungen

Mathematik und Statistik: Publikationen
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published

Erschienen in

Mathematical and Computer Modelling of Dynamical Systems. 2011, 17(4), pp. 355-369. ISSN 1387-3954. Available under: doi: 10.1080/13873954.2011.547678

Zusammenfassung

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

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

optimal control, a-posteriori error estimate, proper orthogonal decomposition, reduced-basis method, Helmholtz equation

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690TONN, 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. 2011, 17(4), pp. 355-369. ISSN 1387-3954. Available under: doi: 10.1080/13873954.2011.547678
BibTex
@article{Tonn2011Compa-15354,
  year={2011},
  doi={10.1080/13873954.2011.547678},
  title={Comparison of the Reduced-Basis and POD a-Posteriori Error Estimators for an Elliptic Linear-Quadratic Optimal Control Problem},
  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: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/123456789/15354">
    <dc:rights>terms-of-use</dc:rights>
    <dc:contributor>Volkwein, Stefan</dc:contributor>
    <dcterms:bibliographicCitation>Publ. in: Mathematical and Computer Modelling of Dynamical Systems ; 17 (2011), 4. - S. 355-369</dcterms:bibliographicCitation>
    <dc:creator>Urban, Karsten</dc:creator>
    <dcterms:title>Comparison of the Reduced-Basis and POD a-Posteriori Error Estimators for an Elliptic Linear-Quadratic Optimal Control Problem</dcterms:title>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Volkwein, Stefan</dc:creator>
    <dc:contributor>Urban, Karsten</dc:contributor>
    <dcterms:issued>2011</dcterms:issued>
    <dc:language>eng</dc:language>
    <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>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/15354"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-01-10T10:03:59Z</dc:date>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-01-10T10:03:59Z</dcterms:available>
    <dc:creator>Tonn, Timo</dc:creator>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:contributor>Tonn, Timo</dc:contributor>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Diese Publikation teilen