Efficient p-Multigrid Based Solvers for Isogeometric Analysis on Multipatch Geometries

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Isogeometric Analysis can be considered as the natural extension of the Finite Element Method (FEM) to higher-order spline based discretizations simplifying the treatment of complex geometries with curved boundaries. Finding a solution of the resulting linear systems of equations efficiently remains, however, a challenging task. Recently, p-multigrid methods have been considered [18], in which a multigrid hierarchy is constructed based on different approximation orders p instead of mesh widths h as it would be the case in classical h-multigrid schemes [8]. The use of an Incomplete LU-factorization as a smoother within the p-multigrid method has shown to lead to convergence rates independent of both h and p for single patch geometries [19]. In this paper, the focus lies on the application of the aforementioned p-multigrid method on multipatch geometries having a C0-continuous coupling between the patches. The use of ILUT as a smoother within p-multigrid methods leads to convergence rates that are essentially independent of h and p, but depend mildly on the number of patches.
Original languageEnglish
Title of host publicationIsogeometric Analysis and Applications 2018
EditorsH. van Brummelen, C. Vuik, M. Möller, C. Verhoosel, B. Simeon
Place of PublicationCham
Number of pages17
ISBN (Electronic)978-3-030-49836-8
ISBN (Print)978-3-030-49835-1
Publication statusPublished - 2021
EventIGAA: Conference on Isogeometric Analysis and Applications: IGAA 2018 - TU Delft, Delft, Netherlands
Duration: 23 Apr 201826 Apr 2018
Conference number: 3rd

Publication series

NameLecture Notes in Computational Science and Engineering book series
ISSN (Print)1439-7358
ISSN (Electronic)2197-7100


ConferenceIGAA: Conference on Isogeometric Analysis and Applications

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