Conference Papers Year : 2020

On four numerical schemes for a unipolar degenerate drift-diffusion model

Abstract

We consider a unipolar degenerate drift-diffusion system where the relation between the concentration of the charged species c and the chemical potential h is $h(c) = log(c/(1−c))$. For four different finite volume schemes based on four different formulations of the fluxes of the problem, we discuss stability and existence results. For two of them, we report a convergence proof. Numerical experiments illustrate the behaviour of the different schemes.
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Dates and versions

hal-02461524 , version 1 (30-01-2020)

Identifiers

  • HAL Id : hal-02461524 , version 1

Cite

Clément Cancès, Claire Chainais-Hillairet, Jürgen Fuhrmann, Benoît Gaudeul. On four numerical schemes for a unipolar degenerate drift-diffusion model. Finite Volumes for Complex Applications IX, Jun 2020, Bergen, Norway. ⟨hal-02461524⟩
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