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

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

University of Strathclyde
UPMC Université de Paris VI
Wuhan University

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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.

Translated title of the contribution	Méthodes de décomposition de domaine à deux niveaux pour les équations de Darcy à coefficients très hétérogènes. Liens avec les méthodes multi-échelles
Original language	English
Pages (from-to)	731-752
Number of pages	22
Journal	Oil and Gas Science and Technology
Volume	69
Issue number	4
DOIs	https://doi.org/10.2516/ogst/2013206
Publication status	Published - 1 Jan 2014
Externally published	Yes

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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 - Nataf, Frédéric

AU - Spillane, Nicole

AU - Xiang, Hua

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

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