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Convergence of a Finite Volume Scheme for a Corrosion Model

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Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 78))

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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References

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Authors and Affiliations

  1. Laboratoire Paul Painlevé, UMR CNRS 8524, Université Lille 1, 59655, Villeneuve d’Ascq Cedex, France

    Claire Chainais-Hillairet, Pierre-Louis Colin & Ingrid Lacroix-Violet

Authors
  1. Claire Chainais-Hillairet
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  2. Pierre-Louis Colin
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  3. Ingrid Lacroix-Violet
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Corresponding author

Correspondence to Pierre-Louis Colin .

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Editors and Affiliations

  1. Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany

    Jürgen Fuhrmann

  2. Institute Comp. Applied Mathematics, University of Münster Center for Nonlinear Sciences (CeNoS ), Münster, Germany

    Mario Ohlberger

  3. Inst. Appl. Analysis and Num. Simulation, University of Stuttgart, Stuttgart, Germany

    Christian Rohde

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© 2014 Springer International Publishing Switzerland

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Chainais-Hillairet, C., Colin, PL., Lacroix-Violet, I. (2014). Convergence of a Finite Volume Scheme for a Corrosion Model. In: Fuhrmann, J., Ohlberger, M., Rohde, C. (eds) Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems. Springer Proceedings in Mathematics & Statistics, vol 78. Springer, Cham. https://doi.org/10.1007/978-3-319-05591-6_54

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