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

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2015
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Zusammenfassung

In the present paper the authors consider a parametrized nonlinear parabolic differential equation, which is motivated by lithium-ion battery models. A standard finite volume (FV) discretization leads to a high-dimensional discrete nonlinear 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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510 Mathematik
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finite volume schemes, reduced basis method, pod-greedy algorithm, a-posteriori error analysis, parameter estimation
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ISO 690IAPICHINO, Laura, Stefan VOLKWEIN, Andrea WESCHE, 2015. A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced basis method
BibTex
@techreport{Iapichino2015Apost-32082,
  year={2015},
  series={Konstanzer Schriften in Mathematik},
  title={A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced basis method},
  number={342},
  author={Iapichino, Laura and Volkwein, Stefan and Wesche, Andrea}
}
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