A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced basis method
| dc.contributor.author | Iapichino, Laura | |
| dc.contributor.author | Volkwein, Stefan | |
| dc.contributor.author | Wesche, Andrea | |
| dc.date.accessioned | 2015-11-06T10:06:01Z | |
| dc.date.available | 2015-11-06T10:06:01Z | |
| dc.date.issued | 2015 | eng |
| dc.description.abstract | 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. | eng |
| dc.description.version | published | |
| dc.identifier.ppn | 451471989 | |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/32082 | |
| dc.language.iso | eng | eng |
| dc.relation.ispartofseries | Konstanzer Schriften in Mathematik | |
| dc.rights | terms-of-use | |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | |
| dc.subject | finite volume schemes, reduced basis method, pod-greedy algorithm, a-posteriori error analysis, parameter estimation | eng |
| dc.subject.ccs | 90C53 | |
| dc.subject.ddc | 510 | eng |
| dc.subject.msc | 35K58 | |
| dc.subject.msc | 65M08 | |
| dc.subject.msc | 65K10 | |
| dc.title | A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced basis method | eng |
| dc.type | WORKINGPAPER | eng |
| dspace.entity.type | Publication | |
| kops.bibliographicInfo.seriesNumber | 342 | eng |
| kops.citation.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}
} | |
| kops.citation.iso690 | IAPICHINO, Laura, Stefan VOLKWEIN, Andrea WESCHE, 2015. A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced basis method | deu |
| kops.citation.iso690 | IAPICHINO, Laura, Stefan VOLKWEIN, Andrea WESCHE, 2015. A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced basis method | eng |
| kops.citation.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> | |
| kops.description.openAccess | openaccessgreen | |
| kops.flag.knbibliography | true | |
| kops.identifier.nbn | urn:nbn:de:bsz:352-0-303692 | |
| kops.relation.seriesofconstance | Konstanzer Schriften in Mathematik | |
| relation.isAuthorOfPublication | 329b7cfa-678f-4a02-a26e-601e6490e83c | |
| relation.isAuthorOfPublication | 1331ea51-1e11-44de-851e-280a04907915 | |
| relation.isAuthorOfPublication | 6de802b1-d10f-41d3-b3f5-6aa4c96e0786 | |
| relation.isAuthorOfPublication.latestForDiscovery | 329b7cfa-678f-4a02-a26e-601e6490e83c | |
| relation.isSeriesOfPublication | a1589bea-acb2-472c-b7fc-851d945493a4 | |
| relation.isSeriesOfPublication.latestForDiscovery | a1589bea-acb2-472c-b7fc-851d945493a4 | |
| temp.internal.duplicates | <p>Keine Dubletten gefunden. Letzte Überprüfung: 16.10.2015 08:03:27</p> | deu |
Dateien
Originalbündel
1 - 1 von 1
Vorschaubild nicht verfügbar
- Name:
- Iapichino_0-303692.pdf
- Größe:
- 645.59 KB
- Format:
- Adobe Portable Document Format
Lizenzbündel
1 - 1 von 1
Vorschaubild nicht verfügbar
- Name:
- license.txt
- Größe:
- 3.88 KB
- Format:
- Item-specific license agreed upon to submission
- Beschreibung:

