A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space

Alexander Heinlein; Axel Klawonn; Oliver Rheinbach; Friederike Röver

doi:10.1007/978-3-030-95025-5_54

A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space

Alexander Heinlein^*, Axel Klawonn, Oliver Rheinbach, Friederike Röver

^*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

1 Citation (Scopus)

44 Downloads (Pure)

Abstract

The Fast and Robust Overlapping Schwarz framework [7, 8], which is part of the Trilinos Software library [18], contains a parallel implementation of the generalized Dryja–Smith–Widlund (GDSW) preconditioner.

Original language	English
Title of host publication	Domain Decomposition Methods in Science and Engineering XXVI
Editors	Susanne C. Brenner, Axel Klawonn, Jinchao Xu, Eric Chung, Jun Zou, Felix Kwok
Publisher	Springer
Pages	505-513
Number of pages	9
ISBN (Print)	9783030950248
DOIs	https://doi.org/10.1007/978-3-030-95025-5_54
Publication status	Published - 2022
Event	26th International Conference on Domain Decomposition Methods, 2020 - Virtual, Online Duration: 7 Dec 2020 → 12 Dec 2020

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	145
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

Conference

Conference	26th International Conference on Domain Decomposition Methods, 2020
City	Virtual, Online
Period	7/12/20 → 12/12/20

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care
Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Access to Document

10.1007/978-3-030-95025-5_54

978-3-030-95025-5_54Final published version, 1.58 MB

Cite this

Heinlein, A., Klawonn, A., Rheinbach, O., & Röver, F. (2022). A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space. In S. C. Brenner, A. Klawonn, J. Xu, E. Chung, J. Zou, & F. Kwok (Eds.), Domain Decomposition Methods in Science and Engineering XXVI (pp. 505-513). (Lecture Notes in Computational Science and Engineering; Vol. 145). Springer. https://doi.org/10.1007/978-3-030-95025-5_54

Heinlein, Alexander ; Klawonn, Axel ; Rheinbach, Oliver et al. / A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space. Domain Decomposition Methods in Science and Engineering XXVI. editor / Susanne C. Brenner ; Axel Klawonn ; Jinchao Xu ; Eric Chung ; Jun Zou ; Felix Kwok. Springer, 2022. pp. 505-513 (Lecture Notes in Computational Science and Engineering).

@inproceedings{682f0036d48949df8050d809f6a8103d,

title = "A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space",

abstract = "The Fast and Robust Overlapping Schwarz framework [7, 8], which is part of the Trilinos Software library [18], contains a parallel implementation of the generalized Dryja–Smith–Widlund (GDSW) preconditioner.",

author = "Alexander Heinlein and Axel Klawonn and Oliver Rheinbach and Friederike R{\"o}ver",

note = "Green Open Access added to TU Delft Institutional Repository {\textquoteleft}You share, we take care!{\textquoteright} – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public. ; 26th International Conference on Domain Decomposition Methods, 2020 ; Conference date: 07-12-2020 Through 12-12-2020",

year = "2022",

doi = "10.1007/978-3-030-95025-5_54",

language = "English",

isbn = "9783030950248",

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

publisher = "Springer",

pages = "505--513",

editor = "Brenner, {Susanne C.} and Axel Klawonn and Jinchao Xu and Eric Chung and Jun Zou and Felix Kwok",

booktitle = "Domain Decomposition Methods in Science and Engineering XXVI",

}

Heinlein, A, Klawonn, A, Rheinbach, O & Röver, F 2022, A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space. in SC Brenner, A Klawonn, J Xu, E Chung, J Zou & F Kwok (eds), Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, vol. 145, Springer, pp. 505-513, 26th International Conference on Domain Decomposition Methods, 2020, Virtual, Online, 7/12/20. https://doi.org/10.1007/978-3-030-95025-5_54

A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space. / Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver et al.
Domain Decomposition Methods in Science and Engineering XXVI. ed. / Susanne C. Brenner; Axel Klawonn; Jinchao Xu; Eric Chung; Jun Zou; Felix Kwok. Springer, 2022. p. 505-513 (Lecture Notes in Computational Science and Engineering; Vol. 145).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space

AU - Heinlein, Alexander

AU - Klawonn, Axel

AU - Rheinbach, Oliver

AU - Röver, Friederike

N1 - Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

PY - 2022

Y1 - 2022

N2 - The Fast and Robust Overlapping Schwarz framework [7, 8], which is part of the Trilinos Software library [18], contains a parallel implementation of the generalized Dryja–Smith–Widlund (GDSW) preconditioner.

AB - The Fast and Robust Overlapping Schwarz framework [7, 8], which is part of the Trilinos Software library [18], contains a parallel implementation of the generalized Dryja–Smith–Widlund (GDSW) preconditioner.

UR - http://www.scopus.com/inward/record.url?scp=85151117352&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-95025-5_54

DO - 10.1007/978-3-030-95025-5_54

M3 - Conference contribution

AN - SCOPUS:85151117352

SN - 9783030950248

T3 - Lecture Notes in Computational Science and Engineering

SP - 505

EP - 513

BT - Domain Decomposition Methods in Science and Engineering XXVI

A2 - Brenner, Susanne C.

A2 - Klawonn, Axel

A2 - Xu, Jinchao

A2 - Chung, Eric

A2 - Zou, Jun

A2 - Kwok, Felix

PB - Springer

T2 - 26th International Conference on Domain Decomposition Methods, 2020

Y2 - 7 December 2020 through 12 December 2020

ER -

Heinlein A, Klawonn A, Rheinbach O, Röver F. A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space. In Brenner SC, Klawonn A, Xu J, Chung E, Zou J, Kwok F, editors, Domain Decomposition Methods in Science and Engineering XXVI. Springer. 2022. p. 505-513. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-030-95025-5_54

A Three-Level Extension for Fast and Robust Overlapping Schwarz (FROSch) Preconditioners with Reduced Dimensional Coarse Space

Abstract

Publication series

Conference

Bibliographical note

Access to Document

Other files and links

Fingerprint

Cite this