For the Doyle-Fuller-Newman battery model, the paper derives optimal-order error bounds for a backward Euler finite element scheme and demonstrates a twice-decoupled solver that is about twice as fast as existing solvers in 3D simulations.
Bermejo, Numerical analysis of a finite element formulation of the P2D model for Lithium-ion cells, Numerische Mathematik 149 (2021) 463–505
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Optimal-rate error estimates and a twice decoupled solver for a backward Euler finite element scheme of the Doyle-Fuller-Newman model of lithium-ion cells
For the Doyle-Fuller-Newman battery model, the paper derives optimal-order error bounds for a backward Euler finite element scheme and demonstrates a twice-decoupled solver that is about twice as fast as existing solvers in 3D simulations.