The reduced basis method applied to transport equations of a lithium-ion battery

DOI10.1108/COMPEL-04-2013-0115zbMath1358.78076OpenAlexW2018002868MaRDI QIDQ2970643

Andrea Wesche, Stefan Volkwein

Publication date: 30 March 2017

Published in: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1108/compel-04-2013-0115

zbMATH Keywords

finite volume methodgreedy algorithmreduced basis methodlithium-ion batteryelectric cells

Mathematics Subject Classification ID

Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory (78M12)

Related Items (4)

Model Reduction for Multiscale Lithium-Ion Battery Simulation ⋮ A modelling framework for efficient reduced order simulations of parametrised lithium-ion battery cells ⋮ The reduced basis method applied to transport equations of a lithium-ion battery ⋮ A-posteriori error analysis for lithium-ion concentrations in batteries utilizing the reduced-basis method

Uses Software

• rbMIT

Cites Work

• Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
• An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
• On the well-posedness of a mathematical model for lithium-ion battery systems
• POD Galerkin Schemes for Nonlinear Elliptic-Parabolic Systems
• The reduced basis method applied to transport equations of a lithium-ion battery
• Phase transition in a rechargeable lithium battery
• Nonlinear Model Reduction via Discrete Empirical Interpolation
• Modeling of Species and Charge Transport in Li–Ion Batteries Based on Non-equilibrium Thermodynamics
• Finite Volume Discretization of Equations Describing Nonlinear Diffusion in Li-Ion Batteries
• Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
• A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry
• Reduced basis method for finite volume approximations of parametrized linear evolution equations

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