Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis
R. Tielen (TU Delft - Numerical Analysis)
M. Möller (TU Delft - Numerical Analysis)
Kees Vuik (TU Delft - Delft Institute of Applied Mathematics)
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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.
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