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

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COMPEL - The international journal for computation and mathematics in electrical and electronic engineering. 2013, 32(5), pp. 1760-1772. ISSN 0332-1649. Available under: doi: 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.

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510 Mathematik
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ISO 690VOLKWEIN, 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. 2013, 32(5), pp. 1760-1772. ISSN 0332-1649. Available under: doi: 10.1108/COMPEL-04-2013-0115
BibTex
@article{Volkwein2013reduc-26462,
  year={2013},
  doi={10.1108/COMPEL-04-2013-0115},
  title={The reduced basis method applied to transport equations of a lithium-ion battery},
  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}
}
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