Parallel Sum Primal Spaces for Isogeometric Deluxe BDDC Preconditioners

Type
Book Chapter

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

KAUST Department
Extreme Computing Research Center

Online Publication Date
2017-03-18

Print Publication Date
2017

Date
2017-03-18

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.

Citation
Da Veiga, L. B., Pavarino, L. F., Scacchi, S., Widlund, O. B., & Zampini, S. (2017). Parallel Sum Primal Spaces for Isogeometric Deluxe BDDC Preconditioners. Domain Decomposition Methods in Science and Engineering XXIII, 17–29. doi:10.1007/978-3-319-52389-7_2

Acknowledgements
For computer time, this research used the resources of the Supercomputing Laboratory at King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia. The Authors would like to thank L. Dalcin for the 3D NURBS geometry.

Publisher
Springer Nature

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

Additional Links
http://link.springer.com/10.1007/978-3-319-52389-7_2

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