A two-level Schwarz preconditioner for heterogeneous problems

V. Dolean, F. Nataf, R. Scheichl, N. Spillane

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

Abstract

Coarse space correction is essential to achieve algorithmic scalability in domain decomposition methods. Our goal here is to build a robust coarse space for Schwarz– type preconditioners for elliptic problems with highly heterogeneous coefficients when the discontinuities are not just across but also along subdomain interfaces, where classical results break down [3, 6, 9, 15].
LanguageEnglish
Title of host publicationDomain Decomposition Methods in Science and Engineering XX
EditorsRandolph Bank, Michael Holst, Olof Widlund, Jinchao Xu
Place of PublicationBerlin
PublisherSpringer-Verlag
ISBN (Print)9783642352744
DOIs
Publication statusPublished - 15 Jul 2013

Publication series

NameLecture Notes in Computational Science and Engineering
PublisherSpringer
Volume91
ISSN (Print)1439-7358

Fingerprint

Preconditioner
Domain Decomposition Method
Elliptic Problems
Breakdown
Discontinuity
Scalability
Coefficient

Cite this

Dolean, V., Nataf, F., Scheichl, R., & Spillane, N. (2013). A two-level Schwarz preconditioner for heterogeneous problems. In R. Bank, M. Holst, O. Widlund, & J. Xu (Eds.), Domain Decomposition Methods in Science and Engineering XX (Lecture Notes in Computational Science and Engineering; Vol. 91). Berlin: Springer-Verlag. https://doi.org/10.1007/978-3-642-35275-1_8
Dolean, V. ; Nataf, F. ; Scheichl, R. ; Spillane, N. / A two-level Schwarz preconditioner for heterogeneous problems. Domain Decomposition Methods in Science and Engineering XX. editor / Randolph Bank ; Michael Holst ; Olof Widlund ; Jinchao Xu. Berlin : Springer-Verlag, 2013. (Lecture Notes in Computational Science and Engineering).
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Dolean, V, Nataf, F, Scheichl, R & Spillane, N 2013, A two-level Schwarz preconditioner for heterogeneous problems. in R Bank, M Holst, O Widlund & J Xu (eds), Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, vol. 91, Springer-Verlag, Berlin. https://doi.org/10.1007/978-3-642-35275-1_8

A two-level Schwarz preconditioner for heterogeneous problems. / Dolean, V.; Nataf, F.; Scheichl, R.; Spillane, N.

Domain Decomposition Methods in Science and Engineering XX. ed. / Randolph Bank; Michael Holst; Olof Widlund; Jinchao Xu. Berlin : Springer-Verlag, 2013. (Lecture Notes in Computational Science and Engineering; Vol. 91).

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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Dolean V, Nataf F, Scheichl R, Spillane N. A two-level Schwarz preconditioner for heterogeneous problems. In Bank R, Holst M, Widlund O, Xu J, editors, Domain Decomposition Methods in Science and Engineering XX. Berlin: Springer-Verlag. 2013. (Lecture Notes in Computational Science and Engineering). https://doi.org/10.1007/978-3-642-35275-1_8