A Finite Volume Scheme for Nernst-Planck-Poisson Systems with Ion Size and Solvation Effects

DOI10.1007/978-3-319-57394-6_52zbMath1365.78012OpenAlexW2619437128MaRDI QIDQ5271155

Clemens Guhlke, Jürgen Fuhrmann

Publication date: 4 July 2017

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

Full work available at URL: https://doi.org/10.1007/978-3-319-57394-6_52

zbMATH Keywords

Nernst-Planck equationsfinite volume scheme

Mathematics Subject Classification ID

Electrochemistry (78A57) Finite volume methods, finite integration techniques applied to problems in optics and electromagnetic theory (78M12) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (1)

A stabilized finite element method for the Poisson-Nernst-Planck equations in three-dimensional ion channel simulations

Uses Software

• pdelib
• SCPACK

Cites Work

• Unnamed Item
• Comparison and numerical treatment of generalised Nernst-Planck models
• Energy estimates for continuous and discretized electro-reaction-diffusion systems
• Boundary conforming Delaunay mesh generation
• Numerical Computation of the Schwarz–Christoffel Transformation
• Finite volume schemes for diffusion equations: Introduction to and review of modern methods
• The boundedness-by-entropy method for cross-diffusion systems
• Non-equilibrium thermodynamics and liquid helium II
• An asymmetrical finite difference network

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