The reduced basis method applied to transport equations of a lithium-ion battery

Publikationstyp: Zeitschriftenartikel
Autor/innen: Volkwein, Stefan; Wesche, Andrea
Erscheinungsjahr: 2013
Erschienen in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering ; 32 (2013), 5. - S. 1760-1772. - ISSN 0332-1649
DOI (zitierfähiger Link): https://dx.doi.org/10.1108/COMPEL-04-2013-0115
Zusammenfassung:
Purpose: in this paper, the authors aim to show how to apply the reduced basis method to the transport equations of a lithium-ion battery.
Design/methodology/approach: the authors consider a coupled system of nonlinear parameterized partial differential equations (P2DEs), which models the concentrations and the potentials in lithium-ion batteries.
Findings: the authors develop an efficient reduced basis approach for the fast and robust numerical solution of the P2DE system.
Originality/value: by the reduced basis method, the authors get (reduced) solutions with a speed up factor of up to 18 in the presented examples in comparison to the original finite volume solutions.
Fachgebiet (DDC): 510 Mathematik
Universitätsbibliographie: Ja

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VOLKWEIN, Stefan, Andrea WESCHE, 2013. The reduced basis method applied to transport equations of a lithium-ion battery. In: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering. 32(5), pp. 1760-1772. ISSN 0332-1649. Available under: doi: 10.1108/COMPEL-04-2013-0115

@article{Volkwein2013reduc-26462, title={The reduced basis method applied to transport equations of a lithium-ion battery}, year={2013}, doi={10.1108/COMPEL-04-2013-0115}, number={5}, volume={32}, issn={0332-1649}, journal={COMPEL - The international journal for computation and mathematics in electrical and electronic engineering}, pages={1760--1772}, author={Volkwein, Stefan and Wesche, Andrea} }

Purpose: in this paper, the authors aim to show how to apply the reduced basis method to the transport equations of a lithium-ion battery.<br />Design/methodology/approach: the authors consider a coupled system of nonlinear parameterized partial differential equations (P<sup>2</sup>DEs), which models the concentrations and the potentials in lithium-ion batteries.<br />Findings: the authors develop an efficient reduced basis approach for the fast and robust numerical solution of the P<sup>2</sup>DE system.<br />Originality/value: by the reduced basis method, the authors get (reduced) solutions with a speed up factor of up to 18 in the presented examples in comparison to the original finite volume solutions. Wesche, Andrea eng COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering ; 32 (2013), 5. - S. 1760-1772 2014-02-19T12:13:45Z 2014-02-19T12:13:45Z Wesche, Andrea terms-of-use 2013 Volkwein, Stefan The reduced basis method applied to transport equations of a lithium-ion battery Volkwein, Stefan

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