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

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

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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

@article{Iapichino2016-07-03A-pos-35383, title={A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced-basis method}, year={2016}, doi={10.1080/13873954.2016.1198387}, 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 xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/35383"> <dcterms:title>A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced-basis method</dcterms:title> <dc:contributor>Wesche, Andrea</dc:contributor> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-09-22T13:58:14Z</dcterms:available> <dc:contributor>Volkwein, Stefan</dc:contributor> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-09-22T13:58:14Z</dc:date> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/35383"/> <dc:creator>Iapichino, Laura</dc:creator> <dcterms:issued>2016-07-03</dcterms:issued> <dc:contributor>Iapichino, Laura</dc:contributor> <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> <dc:creator>Volkwein, Stefan</dc:creator> </rdf:Description> </rdf:RDF>

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