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

Tielen, R.P.W.M.; Möller, M.; Vuik, Cornelis

doi:10.1007/s42452-022-05043-7

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

Title

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

Author

Tielen, R.P.W.M. (TU Delft Numerical Analysis)
Möller, M. (TU Delft Numerical Analysis)
Vuik, Cornelis (TU Delft Delft Institute of Applied Mathematics)

Date

2022

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.

Subject

Multigrid Reduction in Time
Isogeometric Analysis
p-multigrid
OA-Fund TU Delft

To reference this document use:

http://resolver.tudelft.nl/uuid:e166e200-67fa-4f48-b29a-b941986e2a85

DOI

https://doi.org/10.1007/s42452-022-05043-7

ISSN

2523-3971

Source

SN Applied Sciences, 4 (6)

Part of collection

Institutional Repository