## Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling

2013
Preprint
##### Abstract
In this paper the authors consider a parameter estimation problem for a nonlinear systems, which consists of one parabolic equation for the concentration and two elliptic equations for the potentials. The measurements are given as boundary values for one of the potentials. For its numerical solution the Gauss Newton method is applied. To speed up the solution process, a reduced-order approach based on proper orthogonal decomposition (POD) is utilized, where the accuracy is controlled by error estimators. Parameters, which can not be identified from the measurements, are identified by the subset selection method with QR pivoting. Numerical examples show the efficiency of the proposed approach.
510 Mathematics
##### Cite This
ISO 690LASS, Oliver, Stefan VOLKWEIN, 2013. Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling
BibTex
@unpublished{Lass2013Param-25057,
year={2013},
title={Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling},
author={Lass, Oliver 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/123456789/25057">
<dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/25057/1/Volkwein_250578.pdf"/>
<dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/25057/1/Volkwein_250578.pdf"/>
<dc:contributor>Lass, Oliver</dc:contributor>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:title>Parameter identification for nonlinear elliptic-parabolic systems with application in lithium-ion battery modeling</dcterms:title>
<bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/25057"/>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
<dc:contributor>Volkwein, Stefan</dc:contributor>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dc:creator>Lass, Oliver</dc:creator>
<dcterms:abstract xml:lang="eng">In this paper the authors consider a parameter estimation problem for a nonlinear systems, which consists of one parabolic equation for the concentration and two elliptic equations for the potentials. The measurements are given as boundary values for one of the potentials. For its numerical solution the Gauss Newton method is applied. To speed up the solution process, a reduced-order approach based on proper orthogonal decomposition (POD) is utilized, where the accuracy is controlled by error estimators. Parameters, which can not be identified from the measurements, are identified by the subset selection method with QR pivoting. Numerical examples show the efficiency of the proposed approach.</dcterms:abstract>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dcterms:issued>2013</dcterms:issued>
<dc:language>eng</dc:language>
<dc:creator>Volkwein, Stefan</dc:creator>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-11-27T07:51:37Z</dc:date>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dc:rights>terms-of-use</dc:rights>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-11-27T07:51:37Z</dcterms:available>
</rdf:Description>
</rdf:RDF>

Yes