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Design and Analysis of a Finite Volume Scheme for a Concrete Carbonation Model

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Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects (FVCA 2017)

Abstract

In this paper we introduce a finite volume scheme for a concrete carbonation model proposed by Aiki and Muntean in [1]. It consists in a Euler discretisation in time and a Scharfetter–Gummel discretisation in space. We give here some hints for the proof of the convergence of the scheme and show numerical experiments.

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References

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Acknowledgements

The authors are partially supported by the INRIA team RAPSODI, the ANR MOONRISE and the Labex CEMPI (ANR-11-LABX-0007-01).

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Correspondence to Antoine Zurek .

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Chainais-Hillairet, C., Merlet, B., Zurek, A. (2017). Design and Analysis of a Finite Volume Scheme for a Concrete Carbonation Model. In: Cancès, C., Omnes, P. (eds) Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects . FVCA 2017. Springer Proceedings in Mathematics & Statistics, vol 199. Springer, Cham. https://doi.org/10.1007/978-3-319-57397-7_21

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