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

Volkwein, Stefan; Wesche, Andrea

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

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Date

2013

Publication type

Journal article

Published in

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

Abstract

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.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

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

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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Bibliography of Konstanz

Yes