Two Entropic Finite Volume Schemes for a Nernst–Planck–Poisson System with Ion Volume Constraints

DOI10.1007/978-3-031-40864-9_23zbMath1529.65037OpenAlexW4387225218MaRDI QIDQ6182869

Benoît Gaudeul, Jürgen Fuhrmann, Unnamed Author

Publication date: 22 December 2023

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-40864-9_23

zbMATH Keywords

finite volume methodsfinite size effectsdrift-diffusion equationsion channelsgeneralized Nernst-Planck-Poisson system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Statistical mechanics of semiconductors (82D37) Transport processes in time-dependent statistical mechanics (82C70) Cell biology (92C37) Combinatorial aspects of tessellation and tiling problems (05B45) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Electrochemistry (78A57) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

• Comparison and numerical treatment of generalised Nernst-Planck models
• Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure
• Entropy and convergence analysis for two finite volume schemes for a Nernst-Planck-Poisson system with ion volume constraints
• A numerical-analysis-focused comparison of several finite volume schemes for a unipolar degenerate drift-diffusion model
• Unnamed Item

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