Asymptotic Behavior of the Scharfetter-Gummel Scheme for the Drift-Diffusion Model

Marianne Chatard (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

The aim of this work is to study the large-time behavior of the Scharfetter– Gummel scheme for the drift-diffusion model for semiconductors. We prove the convergence of the numerical solutions to an approximation of the thermal equilibrium. We also present numerical experiments which underline the preservation of long-time behavior.

Mots clés: Drift-diffusion system; finite volume scheme; thermal equilibrium

Domaines: Analyse numérique [math.NA]

Marianne Chatard. Asymptotic Behavior of the Scharfetter-Gummel Scheme for the Drift-Diffusion Model. Finite Volumes for Complex Applications VI, Jun 2011, Prague, Czech Republic. pp.235 - 243, ⟨10.1007/978-3-642-20671-9_25⟩. ⟨hal-01472511⟩