An Approximate Two-Point Dirichlet Flux for Quasilinear Convection Diffusion Equations

DOI10.1007/978-3-031-40864-9_17zbMath1529.65032OpenAlexW4387225209MaRDI QIDQ6182859

Jürgen Fuhrmann, Robert Eymard, Claire Chainais-Hillairet

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_17

zbMATH Keywords

long time behaviorquasilinear convection-diffusion equationlog-Sobolev inequalitiesScharfetter-Gummel flux

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Statistical mechanics of semiconductors (82D37) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

• A finite volume scheme for nonlinear parabolic equations derived from one-dimensional local Dirichlet problems
• A Finite Volume Scheme for Nonlinear Degenerate Parabolic Equations
• A monotone numerical flux for quasilinear convection diffusion equation
• Highly accurate quadrature-based scharfetter-gummel schemes for charge transport in degenerate semiconductors
• Unnamed Item

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