Wesche, Andrea

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

2015, Iapichino, Laura, Volkwein, Stefan, Wesche, Andrea

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.