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 , 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 . 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 . 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.
|Title of host publication||Isogeometric Analysis and Applications 2018|
|Editors||H. van Brummelen, C. Vuik, M. Möller, C. Verhoosel, B. Simeon|
|Place of Publication||Cham|
|Number of pages||17|
|Publication status||Published - 2021|
|Event||IGAA: Conference on Isogeometric Analysis and Applications: IGAA 2018 - TU Delft, Delft, Netherlands|
Duration: 23 Apr 2018 → 26 Apr 2018
Conference number: 3rd
|Name||Lecture Notes in Computational Science and Engineering book series|
|Conference||IGAA: Conference on Isogeometric Analysis and Applications|
|Period||23/04/18 → 26/04/18|
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