Uniform L ∞ estimates for approximate solutions of the bipolar drift-diffusion system

Marianne Bessemoulin-Chatard (1) , Claire Chainais-Hillairet (2, 3) , Ansgar Jüngel (4)

1 LMJL - Laboratoire de Mathématiques Jean Leray
2 RAPSODI - Reliable numerical approximations of dissipative systems
3 LPP - Laboratoire Paul Painlevé - UMR 8524
4 TU Wien - Vienna University of Technology = Technische Universität Wien

We establish uniform L ∞ bounds for approximate solutions of the drift-diffusion system for electrons and holes in semiconductor devices, computed with the Schar-fetter-Gummel finite-volume scheme. The proof is based on a Moser iteration technique adapted to the discrete case.

Mots clés: Moser iterations; volume scheme; drift-diffusion

Domaines: Analyse numérique [math.NA]

Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Ansgar Jüngel. Uniform L ∞ estimates for approximate solutions of the bipolar drift-diffusion system. FVCA 8, Jun 2017, Lille, France. ⟨hal-01472643⟩