Convergence of a finite volume scheme for a corrosion model

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Abstract

We consider a drift-diffusion system describing the corrosion of an iron based alloy in 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.

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Chainais-Hillairet, C., Colin, P. L., & Lacroix-Violet, I. (2014). Convergence of a finite volume scheme for a corrosion model. In Springer Proceedings in Mathematics and Statistics (Vol. 78, pp. 547–555). Springer New York LLC. https://doi.org/10.1007/978-3-319-05591-6_54

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