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Entropy diminishing finite volume approximation of a cross-diffusion system

Abstract : We propose a two-point flux approximation finite volume scheme for the approximation of the solutions of a entropy dissipative cross-diffusion system. The scheme is shown to preserve several key properties of the continuous system, among which positivity and decay of the entropy. Numerical experiments illustrate the behaviour of our scheme.
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https://hal.archives-ouvertes.fr/hal-02418908
Contributor : Clément Cancès Connect in order to contact the contributor
Submitted on : Thursday, January 30, 2020 - 9:29:47 AM
Last modification on : Monday, March 29, 2021 - 2:48:13 PM

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  • HAL Id : hal-02418908, version 2

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Clément Cancès, Benoît Gaudeul. Entropy diminishing finite volume approximation of a cross-diffusion system. FVCA9 - International Conference on Finite Volumes for Complex Applications IX, 2020, Bergen, Norway. ⟨hal-02418908v2⟩

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