The numerical study of a microscale model for lithium-ion batteries

DOI10.1016/j.camwa.2018.08.067zbMath1442.92214OpenAlexW2894316566MaRDI QIDQ2203860

G. F. Castelli, Willy Dörfler

Publication date: 2 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.08.067

zbMATH Keywords

modelingfinite element methodexact solutionnumerical simulationtwo-phase modellithium ion battery

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Stefan problems, phase changes, etc. (80A22) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Electrochemistry (78A57)

Related Items (3)

Existence and qualitative theory for nonlinear elliptic systems with a nonlinear interface condition used in electrochemistry ⋮ Study on an Adaptive Finite Element Solver for the Cahn–Hilliard Equation ⋮ An efficient semi-implicit solver for solid electrolyte interphase growth in Li-ion batteries

Uses Software

• UMFPACK
• deal.ii
• ParaView

Cites Work

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• Sharp limit of the viscous Cahn-Hilliard equation and thermodynamic consistency
• Optimality of a standard adaptive finite element method
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• Comparison of Two Approaches for Treatment of the Interface Conditions in FV Discretization of Pore Scale Models for Li-Ion Batteries
• Phase transition in a rechargeable lithium battery
• Finite Volume Discretization of Equations Describing Nonlinear Diffusion in Li-Ion Batteries
• Newton Methods for Nonlinear Problems
• Model Reduction for Multiscale Lithium-Ion Battery Simulation
• An adaptive finite element method for two-phase Stefan problems in two space dimensions. I. Stability and error estimates
• deal.II—A general-purpose object-oriented finite element library
• Numerical Methods for Elliptic and Parabolic Partial Differential Equations
• A posteriori error estimation and adaptivity for degenerate parabolic problems
• The Mathematical Theory of Finite Element Methods
• Algorithm 832
• Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem
• Finite elements. Theory, fast solvers and applications in elasticity theory
• A moving mesh finite element method for the solution of two-dimensional Stefan problems

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