Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis

Roel Tielen*, Matthias Möller, Cornelis Vuik

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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Abstract

The use of sequential time integration schemes becomes more and more the bottleneck within large-scale computations due to a stagnation of processor’s clock speeds. In this study, we combine the parallel-in-time Multigrid Reduction in Time method with a p-multigrid method to obtain a scalable solver specifically designed for Isogeometric Analysis. Numerical results obtained for two- and three-dimensional benchmark problems show the overall scalability of the proposed method on modern computer architectures and a significant improvement in terms of CPU timings compared to the use of standard spatial solvers.
Original languageEnglish
Article number163
Number of pages13
JournalSN Applied Sciences
Volume4
Issue number6
DOIs
Publication statusPublished - 2022

Keywords

  • Multigrid Reduction in Time
  • Isogeometric Analysis
  • p-multigrid

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