Publikation:

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

Vorschaubild

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2017

Autor:innen

Neitzel, Ira

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
DOI (zitierfähiger Link)
https://doi.org/10.1007/978-3-319-58786-8_14
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
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

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

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
1
 2016-03-17 13:43:13
* Ausgewählte Version