On Four Numerical Schemes for a Unipolar Degenerate Drift-Diffusion Model

DOI10.1007/978-3-030-43651-3_13zbMath1456.65083OpenAlexW3005492029MaRDI QIDQ5117434

Benoît Gaudeul, Jürgen Fuhrmann, Clément Cancès, Claire Chainais-Hillairet

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_13

zbMATH Keywords

finite volume methodsenergy methodsdrift-diffusion problems

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05) Electro- and magnetostatics (78A30) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (1)

Entropy and convergence analysis for two finite volume schemes for a Nernst-Planck-Poisson system with ion volume constraints

Uses Software

• Julia
• ForwardDiff
• ddfermi

Cites Work

• A finite volume scheme for convection-diffusion equations with nonlinear diffusion derived from the Scharfetter-Gummel scheme
• 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
• Julia: A Fresh Approach to Numerical Computing
• On the Discretization of van Roosbroeck's Equations with Magnetic Field
• Unnamed Item

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