Skip to Main content Skip to Navigation
Journal articles

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
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.
Document type :
Journal articles
Complete list of metadata

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

Links full text

Identifiers

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

Citation

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⟩

Share

Metrics

Record views

645