Optimal multilevel preconditioners for isogeometric collocation methods

Durkbin Cho

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 168, issue C, 76-89

Abstract: We present optimal additive and multiplicative multilevel methods, such as BPX preconditioner and multigrid V-cycle, for the solution of linear systems arising from isogeometric collocation discretizations of second order elliptic problems. These resulting preconditioners, accelerated by GMRES, lead to optimal complexity for the number of levels, and illustrate their good performance with respect to the isogeometric discretization parameters such as the spline polynomial degree and regularity of the isogeometric basis functions, as well as with respect to domain deformations.

Keywords: Isogeometric analysis; Collocation methods; Multigrid; Preconditioners; GMRES; Multilevel methods (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:168:y:2020:i:c:p:76-89

DOI: 10.1016/j.matcom.2019.08.003

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