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Mathematical and numerical study of a corrosion model

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Abstract

In this paper, we consider a PDE system arising in corrosion modelling. This system consists in two convection-diffusion equations on the densities of charge carriers and a Poisson equation on the electric potential. Boundary conditions are Robin boundary conditions. We discretize each equation by a finite volume scheme and we prove the convergence of the scheme towards a weak solution to the initial system. Finally, we provide numerical results describing the behaviour of the solutions with respect to an applied voltage.

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Authors and Affiliations

  1. Laboratoire de Mathématiques, UMR CNRS 6620, Université Blaise Pascal, 63177, Aubière Cedex, France

    Claire Chainais-Hillairet

  2. CEA/DEN/DANS/DPC/SCCME/LECA, 91191, Gif sur Yvette Cedex, France

    Christian Bataillon

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  1. Claire Chainais-Hillairet
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  2. Christian Bataillon
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Correspondence to Claire Chainais-Hillairet.

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Chainais-Hillairet, C., Bataillon, C. Mathematical and numerical study of a corrosion model. Numer. Math. 110, 1–25 (2008). https://doi.org/10.1007/s00211-008-0154-x

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  • DOI: https://doi.org/10.1007/s00211-008-0154-x

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