Parallel Sum Primal Spaces for Isogeometric Deluxe BDDC Preconditioners

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

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

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 publicationLecture Notes in Computational Science and Engineering
PublisherSpringer International Publishing
Pages17-29
Number of pages13
ISBN (Print)9783319523880
DOIs
StatePublished - Mar 18 2017

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