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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CITATION STYLE
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 Lecture Notes in Computational Science and Engineering (Vol. 116, pp. 17–29). Springer Verlag. https://doi.org/10.1007/978-3-319-52389-7_2
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