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

Iapichino, Laura; Volkwein, Stefan; Wesche, Andrea

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

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2016

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

Mathematical and Computer Modelling of Dynamical Systems ; 22 (2016), 4. - S. 362-379. - ISSN 1387-3954. - eISSN 1744-5051

Zusammenfassung

In this paper, the authors consider a parametrized non-linear parabolic differential equation, which is motivated by lithium-ion battery models. A standard finite volume discretization leads to a high-dimensional discrete non-linear 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.

Fachgebiet (DDC)

510 Mathematik

Zitieren

ISO 690

IAPICHINO, Laura, Stefan VOLKWEIN, Andrea WESCHE, 2016. A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced-basis method. In: Mathematical and Computer Modelling of Dynamical Systems. 22(4), pp. 362-379. ISSN 1387-3954. eISSN 1744-5051. Available under: doi: 10.1080/13873954.2016.1198387

BibTex

@article{Iapichino2016-07-03Apost-35383,
  year={2016},
  doi={10.1080/13873954.2016.1198387},
  title={A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced-basis method},
  number={4},
  volume={22},
  issn={1387-3954},
  journal={Mathematical and Computer Modelling of Dynamical Systems},
  pages={362--379},
  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/123456789/35383">
    <dc:language>eng</dc:language>
    <dcterms:abstract xml:lang="eng">In this paper, the authors consider a parametrized non-linear parabolic differential equation, which is motivated by lithium-ion battery models. A standard finite volume discretization leads to a high-dimensional discrete non-linear 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>
    <dc:creator>Wesche, Andrea</dc:creator>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/35383"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-09-22T13:58:14Z</dcterms:available>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Iapichino, Laura</dc:contributor>
    <dc:creator>Iapichino, Laura</dc:creator>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-09-22T13:58:14Z</dc:date>
    <dc:contributor>Wesche, Andrea</dc:contributor>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:creator>Volkwein, Stefan</dc:creator>
    <dc:contributor>Volkwein, Stefan</dc:contributor>
    <dcterms:title>A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced-basis method</dcterms:title>
    <dcterms:issued>2016-07-03</dcterms:issued>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Ja