Study of a pseudo-stationary state for a corrosion model: existence and numerical approximation

Claire Chainais-Hillairet (1) , Thomas Gallouët (2, 3)

1 RAPSODI - Reliable numerical approximations of dissipative systems
2 ULB - Université libre de Bruxelles
3 MEPHYSTO - Quantitative methods for stochastic models in physics

In this paper, we consider a system of partial differential equations describing the pseudo-stationary state of a dense oxide layer. We investigate the question of existence of a solution to the system and we design a numerical scheme for its approximation. Numerical experiments with real-life data shows the efficiency of the method. Then, the analysis is fulfilled on some simplified models.

Mots clés: Finite volumes; Corrosion model; Scharfetter-Gummel Scheme; Numerical Analysis

Domaines: Mathématiques [math]; Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Claire Chainais-Hillairet, Thomas Gallouët. Study of a pseudo-stationary state for a corrosion model: existence and numerical approximation. Nonlinear Analysis: Real World Applications, 2016, 31, pp.38-56. ⟨10.1016/j.nonrwa.2016.01.010⟩. ⟨hal-01147621⟩