Two-level domain decomposition methods for highly heterogeneous Darcy equations. Connections with multiscale methods

Victorita Dolean; Pierre Jolivet; Frédéric Nataf; Nicole Spillane; Hua Xiang

doi:10.2516/ogst/2013206

Two-level domain decomposition methods for highly heterogeneous Darcy equations. Connections with multiscale methods

Titre traduit de la contribution: Méthodes de décomposition de domaine à deux niveaux pour les équations de Darcy à coefficients très hétérogènes. Liens avec les méthodes multi-échelles

Victorita Dolean
, Pierre Jolivet
, Frédéric Nataf
, Nicole Spillane
, Hua Xiang

University of Strathclyde
UPMC Université de Paris VI
Wuhan University

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

Multiphase, compositional porous media flow models lead to the solution of highly heterogeneous systems of Partial Differential Equations (PDE). We focus on overlapping Schwarz type methods on parallel computers and on multiscale methods. We present a coarse space [Nataf F., Xiang H., Dolean V., Spillane N. (2011) SIAM J. Sci. Comput. 33, 4, 1623-1642] that is robust even when there are such heterogeneities. The two-level domain decomposition approach is compared to multiscale methods.

Titre traduit de la contribution	Méthodes de décomposition de domaine à deux niveaux pour les équations de Darcy à coefficients très hétérogènes. Liens avec les méthodes multi-échelles
langue originale	Anglais
Pages (de - à)	731-752
Nombre de pages	22
journal	Oil and Gas Science and Technology
Volume	69
Numéro de publication	4
Les DOIs	https://doi.org/10.2516/ogst/2013206
état	Publié - 1 janv. 2014
Modification externe	Oui

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10.2516/ogst/2013206

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abstract = "Multiphase, compositional porous media flow models lead to the solution of highly heterogeneous systems of Partial Differential Equations (PDE). We focus on overlapping Schwarz type methods on parallel computers and on multiscale methods. We present a coarse space [Nataf F., Xiang H., Dolean V., Spillane N. (2011) SIAM J. Sci. Comput. 33, 4, 1623-1642] that is robust even when there are such heterogeneities. The two-level domain decomposition approach is compared to multiscale methods.",

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AU - Spillane, Nicole

AU - Xiang, Hua

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Two-level domain decomposition methods for highly heterogeneous Darcy equations. Connections with multiscale methods

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