An implicit-explicit Runge-Kutta-Chebyshev finite element method for the nonlinear Lithium-ion battery equations

DOI10.1016/j.amc.2019.05.011zbMath1428.78029OpenAlexW2950902489MaRDI QIDQ2279616

Rodolfo Bermejo, P. Galán del Sastre

Publication date: 13 December 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2019.05.011

zbMATH Keywords

finite element methodLithium-ion batteryimplicit-explicit Runge-Kutta-Chebyshev scheme

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electrochemistry (78A57)

Related Items (2)

Nonlinear second order systems of Fredholm integro-differential equations ⋮ Numerical analysis of a finite element formulation of the P2D model for lithium-ion cells

Uses Software

• RKC
• MULTIBAT

Cites Work

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• RKC: An explicit solver for parabolic PDEs
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• On the well-posedness of a multiscale mathematical model for lithium-ion batteries
• An adaptive finite element semi-Lagrangian implicit-explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems
• Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation
• Model Reduction for Multiscale Lithium-Ion Battery Simulation
• An Implicit-Explicit Runge--Kutta--Chebyshev Scheme for Diffusion-Reaction Equations
• On the Finite Element Solution of the Pure Neumann Problem

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