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

Victorita Dolean; Pierre Jolivet; Frederic 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, Frederic Nataf, Nicole Spillane, Hua Xiang

Mathematics And Statistics

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

8 Citations (Scopus)

166 Downloads (Pure)

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.

Original language	English
Pages (from-to)	731-752
Number of pages	22
Journal	Oil & Gas Science and Technology
Volume	69
Issue number	4
Early online date	24 Jul 2014
DOIs	https://doi.org/10.2516/ogst/2013206
Publication status	Published - Jul 2014

Keywords

porus media flow
two-level domain decomposition
partial differential equations

Access to Document

10.2516/ogst/2013206

Dolean-etal-OGST-2014-Two-level-decomposition-methods-for-highly-heterogeneous-Darcy-equationsAccepted author manuscript, 4 MB

Cite this

@article{bdd90d2fe44f447086d314d9cecdde8b,

title = "Two-level domain decomposition methods for highly heterogeneous Darcy equations. Connections with multiscale methods",

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.",

keywords = "porus media flow, two-level domain decomposition, partial differential equations",

author = "Victorita Dolean and Pierre Jolivet and Frederic Nataf and Nicole Spillane and Hua Xiang",

year = "2014",

month = jul,

doi = "10.2516/ogst/2013206",

language = "English",

volume = "69",

pages = "731--752",

journal = "Oil & Gas Science and Technology",

issn = "1294-4475",

publisher = "Editions Technip",

number = "4",

}

TY - JOUR

T1 - Two-level domain decomposition methods for highly heterogeneous Darcy equations. Connections with multiscale methods

AU - Dolean, Victorita

AU - Jolivet, Pierre

AU - Nataf, Frederic

AU - Spillane, Nicole

AU - Xiang, Hua

PY - 2014/7

Y1 - 2014/7

N2 - 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.

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.

KW - porus media flow

KW - two-level domain decomposition

KW - partial differential equations

U2 - 10.2516/ogst/2013206

DO - 10.2516/ogst/2013206

M3 - Article

SN - 1294-4475

VL - 69

SP - 731

EP - 752

JO - Oil & Gas Science and Technology

JF - Oil & Gas Science and Technology

IS - 4

ER -

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

Abstract

Keywords

Access to Document

Fingerprint

Cite this