Publikation: Mathematical optimization of a plate volume under a p-Laplace partial differential equation constraint by using standard software
Lade...
Dateien
Zu diesem Dokument gibt es keine Dateien.
Datum
2010
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
URI (zitierfähiger Link)
DOI (zitierfähiger Link)
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
The International Journal of Multiphysics. 2010, 4(1), pp. 1-10. ISSN 1750-9548. Available under: doi: 10.1260/1750-9548.4.1.1
Zusammenfassung
A main aspect in the design of passenger cars with respect to pedestrian safety is the energy absorption capability of the engine hood. Besides that, the hood has to fulfill several other requirements. That makes it necessary to develop easy and fast to solve prediction models with little loss in accuracy for optimization purpose. Current simulation tools combined with standard optimization software are not well suited to deal with the above mentioned needs. The present paper shows the application of mathematical methods on a simplified self developed model to reduce the optimization effort. A linear and a nonlinear model are introduced and a way for solving both is pointed out. Finally it is shown, that it is possible to simplify models and get optimization results much faster by using mathematical theory. Such results can be used in support of the original problem or as an input to space mapping based optimization algorithms, such as surrogate optimization.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
nonlinear optimization, partial differential equation, p-Laplace, surrogate model, finite element method
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690
SCHARRER, Georg, Stefan VOLKWEIN, Thomas HEUBRANDTNER, 2010. Mathematical optimization of a plate volume under a p-Laplace partial differential equation constraint by using standard software. In: The International Journal of Multiphysics. 2010, 4(1), pp. 1-10. ISSN 1750-9548. Available under: doi: 10.1260/1750-9548.4.1.1BibTex
@article{Scharrer2010Mathe-12766,
year={2010},
doi={10.1260/1750-9548.4.1.1},
title={Mathematical optimization of a plate volume under a p-Laplace partial differential equation constraint by using standard software},
number={1},
volume={4},
issn={1750-9548},
journal={The International Journal of Multiphysics},
pages={1--10},
author={Scharrer, Georg and Volkwein, Stefan and Heubrandtner, Thomas}
}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/123456789/12766">
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dc:contributor>Volkwein, Stefan</dc:contributor>
<dcterms:bibliographicCitation>First publ. in: The International Journal of Multiphysics 4 (2010), 1, pp. 1-10</dcterms:bibliographicCitation>
<dc:rights>terms-of-use</dc:rights>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-07-18T08:05:10Z</dcterms:available>
<dc:language>eng</dc:language>
<dc:creator>Volkwein, Stefan</dc:creator>
<dc:contributor>Scharrer, Georg</dc:contributor>
<dcterms:title>Mathematical optimization of a plate volume under a p-Laplace partial differential equation constraint by using standard software</dcterms:title>
<dc:creator>Scharrer, Georg</dc:creator>
<bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/12766"/>
<dcterms:issued>2010</dcterms:issued>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
<dc:contributor>Heubrandtner, Thomas</dc:contributor>
<dcterms:abstract xml:lang="eng">A main aspect in the design of passenger cars with respect to pedestrian safety is the energy absorption capability of the engine hood. Besides that, the hood has to fulfill several other requirements. That makes it necessary to develop easy and fast to solve prediction models with little loss in accuracy for optimization purpose. Current simulation tools combined with standard optimization software are not well suited to deal with the above mentioned needs. The present paper shows the application of mathematical methods on a simplified self developed model to reduce the optimization effort. A linear and a nonlinear model are introduced and a way for solving both is pointed out. Finally it is shown, that it is possible to simplify models and get optimization results much faster by using mathematical theory. Such results can be used in support of the original problem or as an input to space mapping based optimization algorithms, such as surrogate optimization.</dcterms:abstract>
<dc:creator>Heubrandtner, Thomas</dc:creator>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-07-18T08:05:10Z</dc:date>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
</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
