A domain decomposition preconditioner for multiscale high-contrast problems

Yalchin Efendiev; Juan Galvis

doi:10.1007/978-3-642-11304-8_20

A domain decomposition preconditioner for multiscale high-contrast problems

Yalchin Efendiev^*, Juan Galvis

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

35 Scopus citations

Abstract

We present a new class of coarse spaces for two-level additive Schwarz preconditioners that yield condition number bound independent of the contrast in the media properties. These coarse spaces are an extension of the spaces discussed in [3]. Second order elliptic equations are considered. We present theoretical and numerical results. Detailed description of the results and numerical studies will be presented elsewhere.

Original language	English (US)
Title of host publication	Domain Decomposition Methods in Science and Engineering XIX
Pages	189-196
Number of pages	8
DOIs	https://doi.org/10.1007/978-3-642-11304-8_20
State	Published - 2010
Externally published	Yes
Event	19th International Conference on Domain Decomposition, DD19 - Zhanjiajie, China Duration: Aug 17 2009 → Aug 22 2009

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	78 LNCSE
ISSN (Print)	1439-7358

Other

Other	19th International Conference on Domain Decomposition, DD19
Country/Territory	China
City	Zhanjiajie
Period	08/17/09 → 08/22/09

ASJC Scopus subject areas

General Engineering
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Modeling and Simulation

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10.1007/978-3-642-11304-8_20

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title = "A domain decomposition preconditioner for multiscale high-contrast problems",

abstract = "We present a new class of coarse spaces for two-level additive Schwarz preconditioners that yield condition number bound independent of the contrast in the media properties. These coarse spaces are an extension of the spaces discussed in [3]. Second order elliptic equations are considered. We present theoretical and numerical results. Detailed description of the results and numerical studies will be presented elsewhere.",

author = "Yalchin Efendiev and Juan Galvis",

year = "2010",

doi = "10.1007/978-3-642-11304-8_20",

language = "English (US)",

isbn = "9783642113031",

series = "Lecture Notes in Computational Science and Engineering",

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note = "19th International Conference on Domain Decomposition, DD19 ; Conference date: 17-08-2009 Through 22-08-2009",

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Efendiev, Y & Galvis, J 2010, A domain decomposition preconditioner for multiscale high-contrast problems. in Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering, vol. 78 LNCSE, pp. 189-196, 19th International Conference on Domain Decomposition, DD19, Zhanjiajie, China, 08/17/09. https://doi.org/10.1007/978-3-642-11304-8_20

TY - GEN

T1 - A domain decomposition preconditioner for multiscale high-contrast problems

AU - Efendiev, Yalchin

AU - Galvis, Juan

PY - 2010

Y1 - 2010

N2 - We present a new class of coarse spaces for two-level additive Schwarz preconditioners that yield condition number bound independent of the contrast in the media properties. These coarse spaces are an extension of the spaces discussed in [3]. Second order elliptic equations are considered. We present theoretical and numerical results. Detailed description of the results and numerical studies will be presented elsewhere.

AB - We present a new class of coarse spaces for two-level additive Schwarz preconditioners that yield condition number bound independent of the contrast in the media properties. These coarse spaces are an extension of the spaces discussed in [3]. Second order elliptic equations are considered. We present theoretical and numerical results. Detailed description of the results and numerical studies will be presented elsewhere.

UR - http://www.scopus.com/inward/record.url?scp=78650568716&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-11304-8_20

DO - 10.1007/978-3-642-11304-8_20

M3 - Conference contribution

AN - SCOPUS:78650568716

SN - 9783642113031

T3 - Lecture Notes in Computational Science and Engineering

SP - 189

EP - 196

BT - Domain Decomposition Methods in Science and Engineering XIX

T2 - 19th International Conference on Domain Decomposition, DD19

Y2 - 17 August 2009 through 22 August 2009

ER -

A domain decomposition preconditioner for multiscale high-contrast problems

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