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

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  • L. Iapichino
  • S. Volkwein
  • A. Wesche

Abstract

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.

Suggested Citation

  • L. Iapichino & S. Volkwein & A. Wesche, 2016. "A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced-basis method," Mathematical and Computer Modelling of Dynamical Systems, Taylor & Francis Journals, vol. 22(4), pages 362-379, July.
    • Handle: RePEc:taf:nmcmxx:v:22:y:2016:i:4:p:362-379
    DOI: 10.1080/13873954.2016.1198387
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