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

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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.

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ISO 690IAPICHINO, 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. 2016, 22(4), pp. 362-379. ISSN 1387-3954. eISSN 1744-5051. Available under: doi: 10.1080/13873954.2016.1198387
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@article{Iapichino2016-07-03Apost-35383,
  year={2016},
  doi={10.1080/13873954.2016.1198387},
  title={A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced-basis method},
  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}
}
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