Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners

L. Beirão da Veiga; L. F. Pavarino; S. Scacchi; O. B. Widlund; S. Zampini

doi:10.1007/978-3-319-52389-7_2

Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners

L. Beirão da Veiga, L. F. Pavarino^*, S. Scacchi, O. B. Widlund, S. Zampini

^*Corresponding author for this work

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

2 Scopus citations

Abstract

In this paper, we study the adaptive selection of primal constraints in BDDC deluxe preconditioners applied to isogeometric discretizations of scalar elliptic problems. The main objective of this work is to significantly reduce the coarse space dimensions of the BDDC isogeometric preconditioners developed in our previous works, Beirão da Veiga et al. (Math Mod Meth Appl Sci 23, 1099-1142, 2013a) and Beirão da Veiga et al. (SIAM J Sci Comp 36, A1118-A1139, 2014b), while retaining their fast and scalable convergence rates.

Original language	English (US)
Title of host publication	Domain Decomposition Methods in Science and Engineering XXIII
Editors	Hyea Hyun Kim, Axel Klawonn, Eun-Jae Park, Chang-Ock Lee, Olof B. Widlund, Xiao-Chuan Cai, David E. Keyes
Publisher	Springer Verlag
Pages	17-29
Number of pages	13
ISBN (Print)	9783319523880
DOIs	https://doi.org/10.1007/978-3-319-52389-7_2
State	Published - 2017
Event	23rd International Conference on Domain Decomposition Methods, DD23 - Jeju Island, Korea, Republic of Duration: Jul 6 2015 → Jul 10 2015

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	116
ISSN (Print)	1439-7358

Conference

Conference	23rd International Conference on Domain Decomposition Methods, DD23
Country/Territory	Korea, Republic of
City	Jeju Island
Period	07/6/15 → 07/10/15

ASJC Scopus subject areas

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

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10.1007/978-3-319-52389-7_2

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Beirão da Veiga, L., Pavarino, L. F., Scacchi, S., Widlund, O. B., & Zampini, S. (2017). Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners. In H. H. Kim, A. Klawonn, E.-J. Park, C.-O. Lee, O. B. Widlund, X.-C. Cai, & D. E. Keyes (Eds.), Domain Decomposition Methods in Science and Engineering XXIII (pp. 17-29). (Lecture Notes in Computational Science and Engineering; Vol. 116). Springer Verlag. https://doi.org/10.1007/978-3-319-52389-7_2

Beirão da Veiga, L. ; Pavarino, L. F. ; Scacchi, S. et al. / Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners. Domain Decomposition Methods in Science and Engineering XXIII. editor / Hyea Hyun Kim ; Axel Klawonn ; Eun-Jae Park ; Chang-Ock Lee ; Olof B. Widlund ; Xiao-Chuan Cai ; David E. Keyes. Springer Verlag, 2017. pp. 17-29 (Lecture Notes in Computational Science and Engineering).

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title = "Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners",

abstract = "In this paper, we study the adaptive selection of primal constraints in BDDC deluxe preconditioners applied to isogeometric discretizations of scalar elliptic problems. The main objective of this work is to significantly reduce the coarse space dimensions of the BDDC isogeometric preconditioners developed in our previous works, Beir{\~a}o da Veiga et al. (Math Mod Meth Appl Sci 23, 1099-1142, 2013a) and Beir{\~a}o da Veiga et al. (SIAM J Sci Comp 36, A1118-A1139, 2014b), while retaining their fast and scalable convergence rates.",

author = "{Beir{\~a}o da Veiga}, L. and Pavarino, {L. F.} and S. Scacchi and Widlund, {O. B.} and S. Zampini",

note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; 23rd International Conference on Domain Decomposition Methods, DD23 ; Conference date: 06-07-2015 Through 10-07-2015",

year = "2017",

doi = "10.1007/978-3-319-52389-7_2",

language = "English (US)",

isbn = "9783319523880",

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

publisher = "Springer Verlag",

pages = "17--29",

editor = "Kim, {Hyea Hyun} and Axel Klawonn and Eun-Jae Park and Chang-Ock Lee and Widlund, {Olof B.} and Xiao-Chuan Cai and Keyes, {David E.}",

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

address = "Germany",

}

Beirão da Veiga, L, Pavarino, LF, Scacchi, S, Widlund, OB & Zampini, S 2017, Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners. in HH Kim, A Klawonn, E-J Park, C-O Lee, OB Widlund, X-C Cai & DE Keyes (eds), Domain Decomposition Methods in Science and Engineering XXIII. Lecture Notes in Computational Science and Engineering, vol. 116, Springer Verlag, pp. 17-29, 23rd International Conference on Domain Decomposition Methods, DD23, Jeju Island, Korea, Republic of, 07/6/15. https://doi.org/10.1007/978-3-319-52389-7_2

Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners. / Beirão da Veiga, L.; Pavarino, L. F.; Scacchi, S. et al.
Domain Decomposition Methods in Science and Engineering XXIII. ed. / Hyea Hyun Kim; Axel Klawonn; Eun-Jae Park; Chang-Ock Lee; Olof B. Widlund; Xiao-Chuan Cai; David E. Keyes. Springer Verlag, 2017. p. 17-29 (Lecture Notes in Computational Science and Engineering; Vol. 116).

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

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AU - Beirão da Veiga, L.

AU - Pavarino, L. F.

AU - Scacchi, S.

AU - Widlund, O. B.

AU - Zampini, S.

N1 - Publisher Copyright: © Springer International Publishing AG 2017.

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N2 - In this paper, we study the adaptive selection of primal constraints in BDDC deluxe preconditioners applied to isogeometric discretizations of scalar elliptic problems. The main objective of this work is to significantly reduce the coarse space dimensions of the BDDC isogeometric preconditioners developed in our previous works, Beirão da Veiga et al. (Math Mod Meth Appl Sci 23, 1099-1142, 2013a) and Beirão da Veiga et al. (SIAM J Sci Comp 36, A1118-A1139, 2014b), while retaining their fast and scalable convergence rates.

AB - In this paper, we study the adaptive selection of primal constraints in BDDC deluxe preconditioners applied to isogeometric discretizations of scalar elliptic problems. The main objective of this work is to significantly reduce the coarse space dimensions of the BDDC isogeometric preconditioners developed in our previous works, Beirão da Veiga et al. (Math Mod Meth Appl Sci 23, 1099-1142, 2013a) and Beirão da Veiga et al. (SIAM J Sci Comp 36, A1118-A1139, 2014b), while retaining their fast and scalable convergence rates.

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SN - 9783319523880

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BT - Domain Decomposition Methods in Science and Engineering XXIII

A2 - Kim, Hyea Hyun

A2 - Klawonn, Axel

A2 - Park, Eun-Jae

A2 - Lee, Chang-Ock

A2 - Widlund, Olof B.

A2 - Cai, Xiao-Chuan

A2 - Keyes, David E.

PB - Springer Verlag

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Beirão da Veiga L, Pavarino LF, Scacchi S, Widlund OB, Zampini S. Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners. In Kim HH, Klawonn A, Park EJ, Lee CO, Widlund OB, Cai XC, Keyes DE, editors, Domain Decomposition Methods in Science and Engineering XXIII. Springer Verlag. 2017. p. 17-29. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-319-52389-7_2

Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners

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