Structure-Preserving Schemes for Drift-Diffusion Systems on General Meshes: DDFV Versus HFV

DOI10.1007/978-3-031-40864-9_27zbMath1529.65039arXiv2307.10911OpenAlexW4387225265MaRDI QIDQ6182873

Stella Krell, Julien Moatti

Publication date: 22 December 2023

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

Full work available at URL: https://arxiv.org/abs/2307.10911

zbMATH Keywords

long-time behaviourpositivity preserving methodsDDFVdiscrete entropy/dissipation relationHFV

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) Positive solutions to PDEs (35B09) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Boltzmann equations (35Q20) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

• Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure
• Numerical analysis of a nonlinear free-energy diminishing discrete duality finite volume scheme for convection diffusion equations
• Exponential decay of a finite volume scheme to the thermal equilibrium for drift-diffusion systems
• A 3D Discrete Duality Finite Volume Method for Nonlinear Elliptic Equations

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