Publikation: Space mapping techniques for a structural optimization problem governed by the p-Laplace equation
Lade...
Dateien
Datum
2009
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
URI (zitierfähiger Link)
Internationale Patentnummer
Link zur Lizenz
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Open Access Green
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Preprint
Publikationsstatus
Published
Erschienen in
Zusammenfassung
Solving optimal control problems for real world applications are hard to tackle numerically due to the large size and the complex underlying (partial differential equations based) models. In this paper a structural optimization problem governed by the p-Laplace equation (fine model) is considered. A surrogate optimization is utilized to develop an efficient numerical optimization method. Here the p-Laplace equation is replaced by a simplified (coarse) model, a space mapping attempts to match, in the coarse model, the values of the p-Laplace equation. Numerical examples illustrate the presented approach.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
p-Laplace equation, optimal control, space mapping, surrogate optimization, globalized Newton-CG method
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690
LASS, Oliver, Cornelia POSCH, Georg SCHARRER, Stefan VOLKWEIN, 2009. Space mapping techniques for a structural optimization problem governed by the p-Laplace equationBibTex
@unpublished{Lass2009Space-705,
year={2009},
title={Space mapping techniques for a structural optimization problem governed by the p-Laplace equation},
author={Lass, Oliver and Posch, Cornelia and Scharrer, Georg 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/123456789/705">
<dc:creator>Scharrer, Georg</dc:creator>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/705/1/LassPoschScharrerVolkwein.pdf"/>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
<dc:creator>Volkwein, Stefan</dc:creator>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:34Z</dc:date>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:issued>2009</dcterms:issued>
<dc:format>application/pdf</dc:format>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:34Z</dcterms:available>
<dc:contributor>Scharrer, Georg</dc:contributor>
<dc:contributor>Posch, Cornelia</dc:contributor>
<dc:contributor>Volkwein, Stefan</dc:contributor>
<dcterms:abstract xml:lang="eng">Solving optimal control problems for real world applications are hard to tackle numerically due to the large size and the complex underlying (partial differential equations based) models. In this paper a structural optimization problem governed by the p-Laplace equation (fine model) is considered. A surrogate optimization is utilized to develop an efficient numerical optimization method. Here the p-Laplace equation is replaced by a simplified (coarse) model, a space mapping attempts to match, in the coarse model, the values of the p-Laplace equation. Numerical examples illustrate the presented approach.</dcterms:abstract>
<dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/705/1/LassPoschScharrerVolkwein.pdf"/>
<dc:contributor>Lass, Oliver</dc:contributor>
<dc:creator>Lass, Oliver</dc:creator>
<dc:creator>Posch, Cornelia</dc:creator>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dc:rights>terms-of-use</dc:rights>
<dcterms:title>Space mapping techniques for a structural optimization problem governed by the p-Laplace equation</dcterms:title>
<dc:language>eng</dc:language>
<bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/705"/>
</rdf:Description>
</rdf:RDF>Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
