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.

翻译：数学 P2D 模型是一个由强力结合的非线性抛物线-椭圆方程式组成的系统,它描述了锂离子电池的电子动力学。在本文中,我们介绍了对此类模型的有限元素隐含电极方案进行的数字分析。我们获得了空间半分解和完全离散的方程式系统的误差估计,并确定了完全离散的溶液的存在和独特性。