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01-03-2020

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

Authors: Nancy Chalhoub, Pascal Omnes, Toni Sayah, Rebecca El Zahlaniyeh

Published in: Calcolo | Issue 1/2020

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Abstract

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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Title: Full discretization of time dependent convection–diffusion–reaction equation coupled with the Darcy system
Authors: Nancy Chalhoub
Pascal Omnes
Toni Sayah
Rebecca El Zahlaniyeh
Publication date: 01-03-2020
Publisher: Springer International Publishing
Published in: Calcolo / Issue 1/2020
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-019-0352-1

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

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