Publikation:

A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced basis method

Vorschaubild

Dateien

Iapichino_0-303692.pdf
Iapichino_0-303692.pdfGröße: 645.59 KBDownloads: 490

Datum

2015

Autor:innen

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
http://nbn-resolving.de/urn:nbn:de:bsz:352-0-303692
DOI (zitierfähiger Link)
ArXiv-ID

Internationale Patentnummer

Link zur Lizenz
Urheberrechtlich geschützt

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Open Access Green

Sammlungen

Mathematik und Statistik: Publikationen
Zukunftskolleg: Publikationen
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Working Paper/Technical Report
Publikationsstatus
Published

Erschienen in

Zusammenfassung

In the present paper the authors consider a parametrized nonlinear parabolic differential equation, which is motivated by lithium-ion battery models. A standard finite volume (FV) discretization leads to a high-dimensional discrete nonlinear problem so that simulation of the parametrized problem for various different parameters is very costly. Therefore, the reduced-basis method is applied, so that the number of degrees of freedom is reduced significantly and a fast numerical simulation of the model is possible. To control the error, an a-posteriori error estimator is derived. Numerical experiments show the efficiency of the approach.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

finite volume schemes, reduced basis method, pod-greedy algorithm, a-posteriori error analysis, parameter estimation

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690IAPICHINO, Laura, Stefan VOLKWEIN, Andrea WESCHE, 2015. A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced basis method
BibTex
@techreport{Iapichino2015Apost-32082,
  year={2015},
  series={Konstanzer Schriften in Mathematik},
  title={A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced basis method},
  number={342},
  author={Iapichino, Laura and Volkwein, Stefan and Wesche, Andrea}
}
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/123456789/32082">
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-11-06T10:06:01Z</dc:date>
    <dc:contributor>Volkwein, Stefan</dc:contributor>
    <dc:creator>Wesche, Andrea</dc:creator>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-11-06T10:06:01Z</dcterms:available>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/52"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:rights>terms-of-use</dc:rights>
    <dcterms:abstract xml:lang="eng">In the present paper the authors consider a parametrized nonlinear parabolic differential equation, which is motivated by lithium-ion battery models. A standard finite volume (FV) discretization leads to a high-dimensional discrete nonlinear problem so that simulation of the parametrized problem for various different parameters is very costly. Therefore, the reduced-basis method is applied, so that the number of degrees of freedom is reduced significantly and a fast numerical simulation of the model is possible. To control the error, an a-posteriori error estimator is derived. Numerical experiments show the efficiency of the approach.</dcterms:abstract>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/32082/3/Iapichino_0-303692.pdf"/>
    <dcterms:issued>2015</dcterms:issued>
    <dc:contributor>Iapichino, Laura</dc:contributor>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/52"/>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/32082"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:language>eng</dc:language>
    <dc:creator>Iapichino, Laura</dc:creator>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/32082/3/Iapichino_0-303692.pdf"/>
    <dc:contributor>Wesche, Andrea</dc:contributor>
    <dc:creator>Volkwein, Stefan</dc:creator>
    <dcterms:title>A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced basis method</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
Ja
Begutachtet
Diese Publikation teilen