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Abstract: In this paper, hypocoercivity methods are applied to linear kinetic equations with mass conservation and without confinement, in order to prove that the.
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Thanks to appropriate uniform estimates, we establish that the proposed scheme is Asymptotic-Preserving in the diffusive limit. Moreover, we adapt to the discrete framework the hypocoercivity method proposed by [J. Dolbeault, C. Mouhot and C.

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Schmeiser, Trans. We obtain decay estimates that are uniform in the diffusive limit. Finally, we present an efficient implementation of the proposed numerical schemes, and perform numerous numerical simulations assessing their accuracy and efficiency in capturing the correct asymptotic behaviors of the models.

Keywords : hypocoercivity finite volume methods Kinetic equations diffusion limit asymptotic-preserving schemes. Document type : Preprints, Working Papers, Articles First Online: 25 March This is a preview of subscription content, log in to check access.

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Discrete Diffusion Limit and Hypocoercivity

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