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

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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
Issue number6
Publication statusPublished - 2022


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

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