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Article Dans Une Revue Calcolo Année : 2020

Full discretization of time dependent convection-diffusion-reaction equation coupled with the Darcy system

Résumé

In this article, we study the time dependent convection-diffusion-reaction equation coupled with the Darcy equation. We propose and analyze two numerical schemes based on finite element methods for the discretization in space and the implicit Euler method for the discretization in time. An optimal a priori error estimate is then derived for each numerical scheme. Finally, we present some numerical experiments that confirm the theoretical accuracy of the discretization.
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hal-03878148 , version 1 (29-11-2022)

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Nancy Chalhoub, Pascal Omnes, Toni Sayah, Rebecca El Zahlaniyeh. Full discretization of time dependent convection-diffusion-reaction equation coupled with the Darcy system. Calcolo, 2020, 57 (1), pp.4. ⟨10.1007/s10092-019-0352-1⟩. ⟨hal-03878148⟩
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