A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions

Alexander Heinlein; Axel Klawonn; Oliver Rheinbach; Friederike Röver

doi:10.1007/978-3-030-56750-7_20

A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions

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

6 Citations (Scopus)

Abstract

The GDSW (Generalized Dryja–Smith–Widlund) preconditioner is a two-level overlapping Schwarz domain decomposition preconditioner [23] with exact local solvers [5, 4].

Original language	English
Title of host publication	Domain Decomposition Methods in Science and Engineering XXV, DD 2018
Editors	Ronald Haynes, Scott MacLachlan, Xiao-Chuan Cai, Laurence Halpern, Hyea Hyun Kim, Axel Klawonn, Olof Widlund
Publisher	Springer
Pages	185-192
Number of pages	8
ISBN (Print)	9783030567491
DOIs	https://doi.org/10.1007/978-3-030-56750-7_20
Publication status	Published - 2020
Externally published	Yes
Event	25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018 - St. John's, Canada Duration: 23 Jul 2018 → 27 Jul 2018

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	138
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

Conference

Conference	25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018
Country/Territory	Canada
City	St. John's
Period	23/07/18 → 27/07/18

Access to Document

10.1007/978-3-030-56750-7_20

Cite this

Heinlein, A., Klawonn, A., Rheinbach, O., & Röver, F. (2020). A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions. In R. Haynes, S. MacLachlan, X.-C. Cai, L. Halpern, H. H. Kim, A. Klawonn, & O. Widlund (Eds.), Domain Decomposition Methods in Science and Engineering XXV, DD 2018 (pp. 185-192). (Lecture Notes in Computational Science and Engineering; Vol. 138). Springer. https://doi.org/10.1007/978-3-030-56750-7_20

Heinlein, Alexander ; Klawonn, Axel ; Rheinbach, Oliver et al. / A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions. Domain Decomposition Methods in Science and Engineering XXV, DD 2018. editor / Ronald Haynes ; Scott MacLachlan ; Xiao-Chuan Cai ; Laurence Halpern ; Hyea Hyun Kim ; Axel Klawonn ; Olof Widlund. Springer, 2020. pp. 185-192 (Lecture Notes in Computational Science and Engineering).

@inproceedings{d388015b51e84f039c405e0219a76b1d,

title = "A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions",

abstract = "The GDSW (Generalized Dryja–Smith–Widlund) preconditioner is a two-level overlapping Schwarz domain decomposition preconditioner [23] with exact local solvers [5, 4].",

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

year = "2020",

doi = "10.1007/978-3-030-56750-7_20",

language = "English",

isbn = "9783030567491",

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

publisher = "Springer",

pages = "185--192",

editor = "Ronald Haynes and Scott MacLachlan and Xiao-Chuan Cai and Laurence Halpern and Kim, {Hyea Hyun} and Axel Klawonn and Olof Widlund",

booktitle = "Domain Decomposition Methods in Science and Engineering XXV, DD 2018",

note = "25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018 ; Conference date: 23-07-2018 Through 27-07-2018",

}

Heinlein, A, Klawonn, A, Rheinbach, O & Röver, F 2020, A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions. in R Haynes, S MacLachlan, X-C Cai, L Halpern, HH Kim, A Klawonn & O Widlund (eds), Domain Decomposition Methods in Science and Engineering XXV, DD 2018. Lecture Notes in Computational Science and Engineering, vol. 138, Springer, pp. 185-192, 25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018, St. John's, Canada, 23/07/18. https://doi.org/10.1007/978-3-030-56750-7_20

A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions. / Heinlein, Alexander; Klawonn, Axel; Rheinbach, Oliver et al.
Domain Decomposition Methods in Science and Engineering XXV, DD 2018. ed. / Ronald Haynes; Scott MacLachlan; Xiao-Chuan Cai; Laurence Halpern; Hyea Hyun Kim; Axel Klawonn; Olof Widlund. Springer, 2020. p. 185-192 (Lecture Notes in Computational Science and Engineering; Vol. 138).

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

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T1 - A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions

AU - Heinlein, Alexander

AU - Klawonn, Axel

AU - Rheinbach, Oliver

AU - Röver, Friederike

PY - 2020

Y1 - 2020

N2 - The GDSW (Generalized Dryja–Smith–Widlund) preconditioner is a two-level overlapping Schwarz domain decomposition preconditioner [23] with exact local solvers [5, 4].

AB - The GDSW (Generalized Dryja–Smith–Widlund) preconditioner is a two-level overlapping Schwarz domain decomposition preconditioner [23] with exact local solvers [5, 4].

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DO - 10.1007/978-3-030-56750-7_20

M3 - Conference contribution

AN - SCOPUS:85096590385

SN - 9783030567491

T3 - Lecture Notes in Computational Science and Engineering

SP - 185

EP - 192

BT - Domain Decomposition Methods in Science and Engineering XXV, DD 2018

A2 - Haynes, Ronald

A2 - MacLachlan, Scott

A2 - Cai, Xiao-Chuan

A2 - Halpern, Laurence

A2 - Kim, Hyea Hyun

A2 - Klawonn, Axel

A2 - Widlund, Olof

PB - Springer

T2 - 25th International Conference on Domain Decomposition Methods in Science and Engineering, DD 2018

Y2 - 23 July 2018 through 27 July 2018

ER -

Heinlein A, Klawonn A, Rheinbach O, Röver F. A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions. In Haynes R, MacLachlan S, Cai XC, Halpern L, Kim HH, Klawonn A, Widlund O, editors, Domain Decomposition Methods in Science and Engineering XXV, DD 2018. Springer. 2020. p. 185-192. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-030-56750-7_20

A Three-level Extension of the GDSW Overlapping Schwarz Preconditioner in Three Dimensions

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