A-posteriori error estimation of discrete POD models for PDE-constrained optimal control

Lade...
Vorschaubild
Dateien
Zu diesem Dokument gibt es keine Dateien.
Datum
2017
Autor:innen
Herausgeber:innen
Kontakt
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
URI (zitierfähiger Link)
ArXiv-ID
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Core Facility der Universität Konstanz
Gesperrt bis
Titel in einer weiteren Sprache
Forschungsvorhaben
Organisationseinheiten
Zeitschriftenheft
Publikationstyp
Beitrag zu einem Sammelband
Publikationsstatus
Published
Erschienen in
BENNER, Peter, ed. and others. Model reduction of parametrized systems. Cham: Springer Nature, 2017, pp. 213-234. Modeling, simulation & applications. 17. ISBN 978-3-319-58785-1. Available under: doi: 10.1007/978-3-319-58786-8_14
Zusammenfassung

In this work a-posteriori error estimates for linear-quadratic optimal control problems governed by parabolic equations are considered. Different error estimation techniques for finite element discretizations and model-order reduction are combined to validate suboptimal control solutions from low-order models which are constructed by a Galerkin discretization and the application of proper orthogonal decomposition. The theoretical findings are used to design an updating algorithm for the reduced-order models; the efficiency and accuracy are illustrated by numerical tests.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690GUBISCH, Martin, Ira NEITZEL, Stefan VOLKWEIN, 2017. A-posteriori error estimation of discrete POD models for PDE-constrained optimal control. In: BENNER, Peter, ed. and others. Model reduction of parametrized systems. Cham: Springer Nature, 2017, pp. 213-234. Modeling, simulation & applications. 17. ISBN 978-3-319-58785-1. Available under: doi: 10.1007/978-3-319-58786-8_14
BibTex
@incollection{Gubisch2017Apost-33371.2,
  year={2017},
  doi={10.1007/978-3-319-58786-8_14},
  title={A-posteriori error estimation of discrete POD models for PDE-constrained optimal control},
  number={17},
  isbn={978-3-319-58785-1},
  publisher={Springer Nature},
  address={Cham},
  series={Modeling, simulation & applications},
  booktitle={Model reduction of parametrized systems},
  pages={213--234},
  editor={Benner, Peter},
  author={Gubisch, Martin and Neitzel, Ira 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/123456789/33371.2">
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:issued>2017</dcterms:issued>
    <dc:contributor>Neitzel, Ira</dc:contributor>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-02-06T15:38:17Z</dcterms:available>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Volkwein, Stefan</dc:creator>
    <dc:contributor>Volkwein, Stefan</dc:contributor>
    <dcterms:abstract xml:lang="eng">In this work a-posteriori error estimates for linear-quadratic optimal control problems governed by parabolic equations are considered. Different error estimation techniques for finite element discretizations and model-order reduction are combined to validate suboptimal control solutions from low-order models which are constructed by a Galerkin discretization and the application of proper orthogonal decomposition. The theoretical findings are used to design an updating algorithm for the reduced-order models; the efficiency and accuracy are illustrated by numerical tests.</dcterms:abstract>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/33371.2"/>
    <dc:creator>Neitzel, Ira</dc:creator>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:language>eng</dc:language>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-02-06T15:38:17Z</dc:date>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:creator>Gubisch, Martin</dc:creator>
    <dcterms:title>A-posteriori error estimation of discrete POD models for PDE-constrained optimal control</dcterms:title>
    <dc:contributor>Gubisch, Martin</dc:contributor>
  </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

Versionsgeschichte

Gerade angezeigt 1 - 2 von 2
VersionDatumZusammenfassung
2*
2018-02-06 15:28:05
2016-03-17 13:43:13
* Ausgewählte Version