Study of a pseudo-stationary state for a corrosion model: Existence and numerical approximation. (October 2016)

• Record Type: Journal Article
• Authors: Chainais-Hillairet, Claire; Gallouët, Thomas O.
• Is Part Of: Nonlinear analysis. Volume 31(2016)
• Page Start: 38
• Page End: 56
• Publication Date: 2016-10
• Subjects: Corrosion model -- Numerical analysis -- Scharfetter–Gummel scheme -- Finite volumes; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.01.010
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: 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 a simplified model.