Reduced-Order Bicriterial Optimal Control of Evolution Equations

Lade...
Vorschaubild
Dateien
Spura_2-745t7ytk1rkn6.pdf
Spura_2-745t7ytk1rkn6.pdfGröße: 1.54 MBDownloads: 218
Datum
2019
Autor:innen
Herausgeber:innen
Kontakt
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
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
Forschungsvorhaben
Organisationseinheiten
Zeitschriftenheft
Publikationstyp
Masterarbeit/Diplomarbeit
Publikationsstatus
Published
Erschienen in
Zusammenfassung

In this thesis, available results from previous master theses for a bicriterial optimal control problem governed by time-independent and a time-dependent convection-diffusion equation, respectively, are extended from the case of two space dimensions to three space dimensions and arising difficulties are investigated. These multiobjective optimal control problems are treated by the Euclidean reference point method and in this thesis, the focus is set on computing Pareto optimal solutions numerically. The step sizes used in the associated algorithm are considered more closely with regard to the speed of convergence for the individual reference point problems. By adapting certain step sizes, considerable improvement is achieved on this matter.
Furthermore, POD is employed as a method of model-order reduction while various POD basis strategies are analysed and refined. In particular, a-priori and a-posteriori estimates are applied to construct time efficient and sufficiently accurate strategies to determine the size of the POD basis. As tools to control the POD basis size, basis extensions and basis updates are employed.

Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690SPURA, Felix, 2019. Reduced-Order Bicriterial Optimal Control of Evolution Equations [Master thesis]. Konstanz: Universität Konstanz
BibTex
@mastersthesis{Spura2019Reduc-45966,
  year={2019},
  title={Reduced-Order Bicriterial Optimal Control of Evolution Equations},
  address={Konstanz},
  school={Universität Konstanz},
  author={Spura, Felix}
}
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/123456789/45966">
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:creator>Spura, Felix</dc:creator>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-06-11T09:25:05Z</dc:date>
    <dc:language>eng</dc:language>
    <dc:rights>terms-of-use</dc:rights>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/45966/5/Spura_2-745t7ytk1rkn6.pdf"/>
    <dc:contributor>Spura, Felix</dc:contributor>
    <dcterms:issued>2019</dcterms:issued>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-06-11T09:25:05Z</dcterms:available>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:title>Reduced-Order Bicriterial Optimal Control of Evolution Equations</dcterms:title>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/45966"/>
    <dcterms:abstract xml:lang="eng">In this thesis, available results from previous master theses for a bicriterial optimal control problem governed by time-independent and a time-dependent convection-diffusion equation, respectively, are extended from the case of two space dimensions to three space dimensions and arising difficulties are investigated. These multiobjective optimal control problems are treated by the Euclidean reference point method and in this thesis, the focus is set on computing Pareto optimal solutions numerically. The step sizes used in the associated algorithm are considered more closely with regard to the speed of convergence for the individual reference point problems. By adapting certain step sizes, considerable improvement is achieved on this matter.&lt;br /&gt;Furthermore, POD is employed as a method of model-order reduction while various POD basis strategies are analysed and refined. In particular, a-priori and a-posteriori estimates are applied to construct time efficient and sufficiently accurate strategies to determine the size of the POD basis. As tools to control the POD basis size, basis extensions and basis updates are employed.</dcterms:abstract>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/45966/5/Spura_2-745t7ytk1rkn6.pdf"/>
  </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
Hochschulschriftenvermerk
Konstanz, Universität Konstanz, Masterarbeit/Diplomarbeit, 2019
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Begutachtet
Diese Publikation teilen