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A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media

Claude Le Bris 1, 2 Frédéric Legoll 1, 3 François Madiot 1, 2
1 MATHERIALS - MATHematics for MatERIALS
ENPC - École des Ponts ParisTech, CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique, Inria Paris-Rocquencourt
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
3 navier umr 8205 - Laboratoire Navier
Abstract : The purpose of this work is to investigate the behavior of Multiscale Finite Element type methods for advection-diffusion problems in the advection-dominated regime. We present, study and compare various options to address the issue of the simultaneous presence of both heterogeneity of scales and strong advection. Classical MsFEM methods are compared with adjusted MsFEM methods, stabilized versions of the methods, and a splitting method that treats the multiscale diffusion and the strong advection separately.
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https://hal.archives-ouvertes.fr/hal-01235642
Contributor : Frederic Legoll <>
Submitted on : Monday, November 30, 2015 - 2:18:17 PM
Last modification on : Tuesday, December 8, 2020 - 10:20:37 AM

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  • HAL Id : hal-01235642, version 1
  • ARXIV : 1511.08453

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Claude Le Bris, Frédéric Legoll, François Madiot. A numerical comparison of some Multiscale Finite Element approaches for advection-dominated problems in heterogeneous media. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2017, 51 (3), pp.851-888. ⟨hal-01235642⟩

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