Multiscale model reduction for pore-scale simulation of Li-ion batteries using GMsFEM

DOI10.1016/j.cam.2018.05.016OpenAlexW2804137839WikidataQ129788977 ScholiaQ129788977MaRDI QIDQ724488

D. Kharzeev

Publication date: 26 July 2018

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

Full work available at URL: https://doi.org/10.1016/j.cam.2018.05.016

zbMATH Keywords

multiscale methodlithium-ion batteriesGMsFEMpore-scale simulationelectrochemical processes

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

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Uses Software

• FEniCS
• SyFi

Cites Work

• Mixed GMsFEM for second order elliptic problem in perforated domains
• Generalized multiscale finite element methods (GMsFEM)
• Derivation and numerical validation of a homogenized isothermal Li-ion battery model
• Automated solution of differential equations by the finite element method. The FEniCS book
• Adaptive multiscale model reduction with generalized multiscale finite element methods
• Multiscale model reduction for transport and flow problems in perforated domains
• Residual-driven online generalized multiscale finite element methods
• Multiscale finite element methods for nonlinear problems and their applications
• Model Reduction for Multiscale Lithium-Ion Battery Simulation
• Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
• Multiscale Finite Element Methods
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Online adaptive local multiscale model reduction for heterogeneous problems in perforated domains

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