Convergence of a Finite Volume Scheme for a Corrosion Model

Claire Chainais-Hillairet (1, 2) , Pierre-Louis Colin (1, 2) , Ingrid Lacroix-Violet (1, 2)

1 LPP - Laboratoire Paul Painlevé - UMR 8524
2 MEPHYSTO - Quantitative methods for stochastic models in physics

In this paper, we study the numerical approximation of a system of partial dif-ferential equations describing the corrosion of an iron based alloy in a nuclear waste repository. In particular, we are interested in the convergence of a numerical scheme consisting in an implicit Euler scheme in time and a Scharfetter-Gummel finite volume scheme in space.

Mots clés: convergence analysis; finite volume scheme; corrosion model; drift-diffusion system

Domaines: Equations aux dérivées partielles [math.AP]

Claire Chainais-Hillairet, Pierre-Louis Colin, Ingrid Lacroix-Violet. Convergence of a Finite Volume Scheme for a Corrosion Model. 2014. ⟨hal-01082041v2⟩