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

Claire Chainais-Hillairet and Thomas Gallouët

ULB Institutional Repository from ULB -- Universite Libre de Bruxelles

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.

Keywords: Corrosion model; Finite volumes; Numerical analysis; Scharfetter-Gummel scheme (search for similar items in EconPapers)
Date: 2016-10
Note: SCOPUS: ar.j
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Published in: Nonlinear analysis: real world applications (2016) v.31,p.38-56

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Persistent link: https://EconPapers.repec.org/RePEc:ulb:ulbeco:2013/230961

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