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Numerical analysis of a finite element formulation of the P2D model for Lithium-ion cells (2109.10647v1)
Published 22 Sep 2021 in math.NA and cs.NA
Abstract: The mathematical P2D model is a system of strongly coupled nonlinear parabolic-elliptic equations that describes the electrodynamics of lithium-ion batteries. In this paper, we present the numerical analysis of a finite element-implicit Euler scheme for such a model. We obtain error estimates for both the spatially semidiscrete and the fully discrete systems of equations, and establish the existence and uniqueness of the fully discrete solution.