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.
Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners / L. Beirão da Veiga, L.F. Pavarino, S. Scacchi, O.B. Widlund, S. Zampini (LECTURE NOTES IN COMPUTATIONAL SCIENCE AND ENGINEERING). - In: Domain Decomposition Methods in Science and Engineering 23. / [a cura di] C--O. Lee, X.-C. Cai, D.E. Keyes, H.H. Kim, A. Klawonn, E.-J. Park, O.B. Widlund. - [s.l] : Springer Verlag, 2017. - ISBN 9783319523880. - pp. 17-29 (( Intervento presentato al 23. convegno International Conference on Domain Decomposition Methods, DD23 tenutosi a Jeju Island nel 2015 [10.1007/978-3-319-52389-7_2].
Parallel sum primal spaces for isogeometric deluxe BDDC preconditioners
S. Scacchi;
2017
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.
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