Reduced Basis Methods for Model Reduction and Sensitivity Analysis of Complex Partial Differential Equations with Applications to Lithium-Ion Batteries

Wesche, Johanna Andrea Karolin

Reduced Basis Methods for Model Reduction and Sensitivity Analysis of Complex Partial Differential Equations with Applications to Lithium-Ion Batteries

Dateien

Wesche_0-376220.pdfGröße: 2.78 MBDownloads: 760

Datum

2016

Open Access-Veröffentlichung

Open Access Green

Sammlungen

Mathematik und Statistik

Publikationstyp

Dissertation

Publikationsstatus

Published

Zusammenfassung

In the present thesis we apply the reduced basis method (RBM) on a coupled elliptic-parabolic equation system, which is highly nonlinear. This equation system describes the charge and mass transport in a lithium-ion battery. For an efficient application of the RBM we develop an a posteriori error estimator which estimates the error between our finite volume and our reduced solution. To evaluate the nonlinearities in an efficient way we additionally apply the empirical interpolation method. The suitable reduced order model we use for the parameter estimation to a required terminal voltage. The results we confirm with a sensitivity analysis.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

model order reduction, reduced basis method, lithium-ion battery, parameter estimation, sensitivity analysis

Zitieren

ISO 690

WESCHE, Johanna Andrea Karolin, 2016. Reduced Basis Methods for Model Reduction and Sensitivity Analysis of Complex Partial Differential Equations with Applications to Lithium-Ion Batteries [Dissertation]. Konstanz: University of Konstanz

BibTex

@phdthesis{Wesche2016Reduc-36199,
  year={2016},
  title={Reduced Basis Methods for Model Reduction and Sensitivity Analysis of Complex Partial Differential Equations with Applications to Lithium-Ion Batteries},
  author={Wesche, Johanna Andrea Karolin},
  address={Konstanz},
  school={Universität Konstanz}
}

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/123456789/36199">
    <dc:creator>Wesche, Johanna Andrea Karolin</dc:creator>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/36199/3/Wesche_0-376220.pdf"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-12-07T07:15:40Z</dc:date>
    <dc:rights>terms-of-use</dc:rights>
    <dc:language>eng</dc:language>
    <dcterms:title>Reduced Basis Methods for Model Reduction and Sensitivity Analysis of Complex Partial Differential Equations with Applications to Lithium-Ion Batteries</dcterms:title>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-12-07T07:15:40Z</dcterms:available>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dcterms:abstract xml:lang="eng">In the present thesis we apply the reduced basis method (RBM) on a coupled elliptic-parabolic equation system, which is highly nonlinear. This equation system describes the charge and mass transport in a lithium-ion battery. For an efficient application of the RBM we develop an a posteriori error estimator which estimates the error between our finite volume and our reduced solution. To evaluate the nonlinearities in an efficient way we additionally apply the empirical interpolation method. The suitable reduced order model we use for the parameter estimation to a required terminal voltage. The results we confirm with a sensitivity analysis.</dcterms:abstract>
    <dcterms:issued>2016</dcterms:issued>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/36199/3/Wesche_0-376220.pdf"/>
    <dc:contributor>Wesche, Johanna Andrea Karolin</dc:contributor>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/36199"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
  </rdf:Description>
</rdf:RDF>

Prüfungsdatum der Dissertation

March 22, 2016

Hochschulschriftenvermerk

Konstanz, Univ., Diss., 2016