Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems

Lade...
Vorschaubild
Dateien
Rogg_0-401106.pdf
Rogg_0-401106.pdfGröße: 6.74 MBDownloads: 534
Datum
2017
Herausgeber:innen
Kontakt
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Auflagebezeichnung
DOI (zitierfähiger Link)
ArXiv-ID
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Open Access Green
Core Facility der Universität Konstanz
Gesperrt bis
Titel in einer weiteren Sprache
Publikationstyp
Working Paper/Technical Report
Publikationsstatus
Published
Erschienen in
Zusammenfassung

An optimal control problem governed by a semilinear heat equation is solved using a globalized inexact Newton method. To reduce the computational effort a model order reduction approach based on proper orthogonal decomposition (POD) is applied. Within a trust region framework we guarantee that the reduced-order models are sufficiently accurate by ensuring gradient accuracy. The gradient error is successfully monitored by an a-posteriori error estimate. Numerical results are presented and discussed.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Optimal control, trust-region methods, reduced-order modelling, proper orthogonal decomposition
Konferenz
Rezension
undefined / . - undefined, undefined
Forschungsvorhaben
Organisationseinheiten
Zeitschriftenheft
Datensätze
Zitieren
ISO 690ROGG, Sabrina, Stefan TRENZ, Stefan VOLKWEIN, 2017. Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems
BibTex
@techreport{Rogg2017Trust-38240,
  year={2017},
  series={Konstanzer Schriften in Mathematik},
  title={Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems},
  number={359},
  author={Rogg, Sabrina and Trenz, Stefan 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/123456789/38240">
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:creator>Trenz, Stefan</dc:creator>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:abstract xml:lang="eng">An optimal control problem governed by a semilinear heat equation is solved using a globalized inexact Newton method. To reduce the computational effort a model order reduction approach based on proper orthogonal decomposition (POD) is applied. Within a trust region framework we guarantee that the reduced-order models are sufficiently accurate by ensuring gradient accuracy. The gradient error is successfully monitored by an a-posteriori error estimate. Numerical results are presented and discussed.</dcterms:abstract>
    <dc:language>eng</dc:language>
    <dc:contributor>Volkwein, Stefan</dc:contributor>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/38240"/>
    <dc:creator>Volkwein, Stefan</dc:creator>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-03-31T08:43:54Z</dcterms:available>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/38240/3/Rogg_0-401106.pdf"/>
    <dcterms:title>Trust-Region POD using A-Posteriori Error Estimation for Semilinear Parabolic Optimal Control Problems</dcterms:title>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2017-03-31T08:43:54Z</dc:date>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Trenz, Stefan</dc:contributor>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:issued>2017</dcterms:issued>
    <dc:creator>Rogg, Sabrina</dc:creator>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/38240/3/Rogg_0-401106.pdf"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:contributor>Rogg, Sabrina</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