Fast Solution Techniques in Constrained Optimal Boundary Control of the Semilinear Heat Equation

Lade...
Vorschaubild
Dateien
Zu diesem Dokument gibt es keine Dateien.
Datum
2007
Autor:innen
Hintermüller, Michael
Diwoky, Franz
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
KUNISCH, Karl, ed. and others. Control of Coupled Partial Differential Equations. Basel: Birkhäuser, 2007, pp. 119-147. International Series of Numerical Mathematics. 155. ISBN 978-3-7643-7720-5. Available under: doi: 10.1007/978-3-7643-7721-2_6
Zusammenfassung

Efficient numerical techniques for the solution of constrained optimal control problems for the nonlinear heat equation are considered. The nonlinearity in the governing equation is due to the boundary conditions which cover the Boltzmann radiation boundary condition. With respect to numerical algorithms, variants of semismooth Newton methods are proposed which allow a convergence analysis in function space. For the latter aspect the concept of generalized (Newton, or slant) differentiability is invoked. The paper ends with a comparison of the proposed algorithms among each other and with a sequential quadratic programming method.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Constrained optimal control, integral constraints, nonlinear heat equation, pointwise constraints, semismooth Newton
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690HINTERMÜLLER, Michael, Stefan VOLKWEIN, Franz DIWOKY, 2007. Fast Solution Techniques in Constrained Optimal Boundary Control of the Semilinear Heat Equation. In: KUNISCH, Karl, ed. and others. Control of Coupled Partial Differential Equations. Basel: Birkhäuser, 2007, pp. 119-147. International Series of Numerical Mathematics. 155. ISBN 978-3-7643-7720-5. Available under: doi: 10.1007/978-3-7643-7721-2_6
BibTex
@incollection{Hintermuller2007Solut-41215,
  year={2007},
  doi={10.1007/978-3-7643-7721-2_6},
  title={Fast Solution Techniques in Constrained Optimal Boundary Control of the Semilinear Heat Equation},
  number={155},
  isbn={978-3-7643-7720-5},
  publisher={Birkhäuser},
  address={Basel},
  series={International Series of Numerical Mathematics},
  booktitle={Control of Coupled Partial Differential Equations},
  pages={119--147},
  editor={Kunisch, Karl},
  author={Hintermüller, Michael and Volkwein, Stefan and Diwoky, Franz}
}
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/123456789/41215">
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-02-02T12:58:26Z</dc:date>
    <dc:language>eng</dc:language>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/41215"/>
    <dcterms:abstract xml:lang="eng">Efficient numerical techniques for the solution of constrained optimal control problems for the nonlinear heat equation are considered. The nonlinearity in the governing equation is due to the boundary conditions which cover the Boltzmann radiation boundary condition. With respect to numerical algorithms, variants of semismooth Newton methods are proposed which allow a convergence analysis in function space. For the latter aspect the concept of generalized (Newton, or slant) differentiability is invoked. The paper ends with a comparison of the proposed algorithms among each other and with a sequential quadratic programming method.</dcterms:abstract>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:creator>Volkwein, Stefan</dc:creator>
    <dc:contributor>Hintermüller, Michael</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:issued>2007</dcterms:issued>
    <dc:creator>Diwoky, Franz</dc:creator>
    <dc:contributor>Diwoky, Franz</dc:contributor>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Volkwein, Stefan</dc:contributor>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2018-02-02T12:58:26Z</dcterms:available>
    <dcterms:title>Fast Solution Techniques in Constrained Optimal Boundary Control of the Semilinear Heat Equation</dcterms:title>
    <dc:creator>Hintermüller, Michael</dc:creator>
  </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