Multigrid Reduced in Time for Isogeometric Analysis

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

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

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Abstract

Isogeometric Analysis (IgA) can be seen as the natural extension of the Finite Element Method (FEM) to high-order B-spline basis functions. Combined with a time inte- gration scheme within the method of lines, IgA has become a viable alternative to FEM for time-dependent problems. However, as processors' clock speeds are no longer increasing but the number of cores are going up, traditional (i.e., sequential) time integration schemes become more and more the bottleneck within these large-scale computations. The Multigrid Reduced in Time (MGRIT) method is a parallel-in-time integration method that enables exploitation of parallelism not only in space but also in the temporal direction. In this paper, we apply MGRIT to discretizations arising from IgA for the _rst time in the literature. In particular, we investigate the (parallel) performance of MGRIT in this context for a variety of geometries, MGRIT hierarchies and time integration schemes. Numerical results show that the MGRIT method converges independent of the mesh width, spline degree of the B-spline basis functions and time step size _t and is highly parallelizable when applied in the context of IgA.
Original languageEnglish
Title of host publicationBook of Extended Abstracts of the 6th ECCOMAS Young Investigators Conference
EditorsCarina Schwarz, Simone Morganti
Pages47-56
Number of pages10
Publication statusPublished - 2022
Event6th ECCOMAS Young Investigators Conference - València, Spain
Duration: 7 Jul 20229 Jul 2022
Conference number: 6
https://www.eccomas.org/publications/conference-proceedings/

Conference

Conference6th ECCOMAS Young Investigators Conference
Abbreviated titleYIC 2021
Country/TerritorySpain
CityValència
Period7/07/229/07/22
Internet address

Keywords

  • Multigrid Reduced in Time
  • Isogeometric Analysis
  • Multigrid

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