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01.03.2020

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

verfasst von: Nancy Chalhoub, Pascal Omnes, Toni Sayah, Rebecca El Zahlaniyeh

Erschienen in: Calcolo | Ausgabe 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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Nächster Artikel Preconditioned iterative method for boundary value method discretizations of a parabolic optimal control problem

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Titel: Full discretization of time dependent convection–diffusion–reaction equation coupled with the Darcy system
verfasst von: Nancy Chalhoub
Pascal Omnes
Toni Sayah
Rebecca El Zahlaniyeh
Publikationsdatum: 01.03.2020
Verlag: Springer International Publishing
Erschienen in: Calcolo / Ausgabe 1/2020
Print ISSN: 0008-0624
Elektronische ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-019-0352-1

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