Title :

A numerical analysis focused comparison of several Finite Volume schemes for an Unipolar Degenerated Drift-Diffusion Model

Author(s) :

Cancès, Clément [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Chainais-Hillairet, Claire [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI ]
Fuhrmann, Jürgen [Auteur]
Numerical Mathematics and Scientific Computing [WIAS]
Gaudeul, Benoît [Auteur]
Reliable numerical approximations of dissipative systems [RAPSODI ]

Journal title :

IMA Journal of Numerical Analysis

Pages :

271-314

Publisher :

Oxford University Press (OUP)

Publication date :

2021

ISSN :

0272-4979

HAL domain(s) :

Mathématiques [math]/Analyse numérique [math.NA]
Mathématiques [math]/Equations aux dérivées partielles [math.AP]

English abstract : [en]

In this paper, we consider an unipolar degenerated 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. We design four different ...
Show more >In this paper, we consider an unipolar degenerated 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. We design four different finite volume schemes based on four different formulations of the fluxes. We provide a stability analysis and existence results for the four schemes. The convergence proof with respect to the discretization parameters is established for two of them. Numerical experiments illustrate the behaviour of the different schemes.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Centre Européen pour les Mathématiques, la Physique et leurs Interactions
Modèles multi-échelles et simulation numérique hybride de semi-conducteurs

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL