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 proceedingConference contributionpeer-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 languageEnglish (US)
Title of host publicationDomain Decomposition Methods in Science and Engineering XXIII
EditorsHyea Hyun Kim, Axel Klawonn, Eun-Jae Park, Chang-Ock Lee, Olof B. Widlund, Xiao-Chuan Cai, David E. Keyes
PublisherSpringer Verlag
Pages17-29
Number of pages13
ISBN (Print)9783319523880
DOIs
StatePublished - 2017
Event23rd International Conference on Domain Decomposition Methods, DD23 - Jeju Island, Korea, Republic of
Duration: Jul 6 2015Jul 10 2015

Publication series

NameLecture Notes in Computational Science and Engineering
Volume116
ISSN (Print)1439-7358

Conference

Conference23rd International Conference on Domain Decomposition Methods, DD23
Country/TerritoryKorea, Republic of
City Jeju Island
Period07/6/1507/10/15

ASJC Scopus subject areas

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

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