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

L. Iapichino, S. Volkwein, A. Wesche

Research output: Contribution to journalArticleScientificpeer-review

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.

Keywords

  • a-posteriori error analysis
  • Finite volume schemes
  • parameter estimation
  • POD-greedy algorithm
  • reduced-basis method

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