Publikation:

Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction

Vorschaubild

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2008

Autor:innen

Kahlbacher, Martin

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
DOI (zitierfähiger Link)
https://doi.org/10.1007/978-3-540-69777-0_87
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 Konferenzband
Publikationsstatus
Published

Erschienen in

KUNISCH, Karl, ed., Günther OF, ed., Olaf STEINBACH, ed.. Numerical Mathematics and Advanced Applications : Proceedings of ENUMATH 2007. Berlin: Springer, 2008, pp. 727-734. ISBN 978-3-540-69776-3. Available under: doi: 10.1007/978-3-540-69777-0_87

Zusammenfassung

Proper orthogonal decomposition (POD) is a powerful technique for model reduction of linear and non-linear systems. It is based on a Galerkin type discretization with basis elements created from the system itself. In this work POD is applied to estimate scalar parameters in a scalar non-linear Ginzburg-Landau equation. The parameter estimation is formulated in terms of an optimal control problem that is solved by an augmented Lagrangian method combined with a sequential quadratic programming algorithm. A numerical example illustrates the efficiency of the proposed solution method.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Konferenz

ENUMATH 2007 : the 7th European Conference on Numerical Mathematics and Advanced Applications, 10. Sept. 2007 - 14. Sept. 2007, Graz, Austria
Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690KAHLBACHER, Martin, Stefan VOLKWEIN, 2008. Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction. ENUMATH 2007 : the 7th European Conference on Numerical Mathematics and Advanced Applications. Graz, Austria, 10. Sept. 2007 - 14. Sept. 2007. In: KUNISCH, Karl, ed., Günther OF, ed., Olaf STEINBACH, ed.. Numerical Mathematics and Advanced Applications : Proceedings of ENUMATH 2007. Berlin: Springer, 2008, pp. 727-734. ISBN 978-3-540-69776-3. Available under: doi: 10.1007/978-3-540-69777-0_87
BibTex
@inproceedings{Kahlbacher2008Estim-41198,
  year={2008},
  doi={10.1007/978-3-540-69777-0_87},
  title={Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction},
  isbn={978-3-540-69776-3},
  publisher={Springer},
  address={Berlin},
  booktitle={Numerical Mathematics and Advanced Applications : Proceedings of ENUMATH 2007},
  pages={727--734},
  editor={Kunisch, Karl and Of, Günther and Steinbach, Olaf},
  author={Kahlbacher, Martin 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/123456789/41198">
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/41198"/>
    <dc:contributor>Volkwein, Stefan</dc:contributor>
    <dc:language>eng</dc:language>
    <dc:creator>Volkwein, Stefan</dc:creator>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-02-01T15:47:16Z</dcterms:available>
    <dc:creator>Kahlbacher, Martin</dc:creator>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-02-01T15:47:16Z</dc:date>
    <dc:contributor>Kahlbacher, Martin</dc:contributor>
    <dcterms:abstract xml:lang="eng">Proper orthogonal decomposition (POD) is a powerful technique for model reduction of linear and non-linear systems. It is based on a Galerkin type discretization with basis elements created from the system itself. In this work POD is applied to estimate scalar parameters in a scalar non-linear Ginzburg-Landau equation. The parameter estimation is formulated in terms of an optimal control problem that is solved by an augmented Lagrangian method combined with a sequential quadratic programming algorithm. A numerical example illustrates the efficiency of the proposed solution method.</dcterms:abstract>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:issued>2008</dcterms:issued>
    <dcterms:title>Estimation of Diffusion Coefficients in a Scalar Ginzburg-Landau Equation by Using Model Reduction</dcterms:title>
  </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
Nein
Begutachtet
Diese Publikation teilen