Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis
Article Highlights The use of a p-multigrid method significantly reduces the CPU timings for higher values of the spline degree. The Multigrid Reduction in Time method shows both strong and weak scalability up to 2048 cores. Iteration numbers are independent of the number of time steps, mesh width a...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2022-05-01
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| Series: | SN Applied Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s42452-022-05043-7 |
| _version_ | 1811235507752927232 |
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| author | Roel Tielen Matthias Möller Cornelis Vuik |
| author_facet | Roel Tielen Matthias Möller Cornelis Vuik |
| author_sort | Roel Tielen |
| collection | DOAJ |
| description | Article Highlights The use of a p-multigrid method significantly reduces the CPU timings for higher values of the spline degree. The Multigrid Reduction in Time method shows both strong and weak scalability up to 2048 cores. Iteration numbers are independent of the number of time steps, mesh width and spline degree. |
| first_indexed | 2024-04-12T11:51:55Z |
| format | Article |
| id | doaj.art-c52511c113274784ba11406e92c64d8c |
| institution | Directory Open Access Journal |
| issn | 2523-3963 2523-3971 |
| language | English |
| last_indexed | 2024-04-12T11:51:55Z |
| publishDate | 2022-05-01 |
| publisher | Springer |
| record_format | Article |
| series | SN Applied Sciences |
| spelling | doaj.art-c52511c113274784ba11406e92c64d8c2022-12-22T03:34:08ZengSpringerSN Applied Sciences2523-39632523-39712022-05-014611310.1007/s42452-022-05043-7Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric AnalysisRoel Tielen0Matthias Möller1Cornelis Vuik2Delft Institute of Applied Mathematics, Delft University of TechnologyDelft Institute of Applied Mathematics, Delft University of TechnologyDelft Institute of Applied Mathematics, Delft University of TechnologyArticle Highlights The use of a p-multigrid method significantly reduces the CPU timings for higher values of the spline degree. The Multigrid Reduction in Time method shows both strong and weak scalability up to 2048 cores. Iteration numbers are independent of the number of time steps, mesh width and spline degree.https://doi.org/10.1007/s42452-022-05043-7Multigrid Reduction in TimeIsogeometric Analysisp-multigrid |
| spellingShingle | Roel Tielen Matthias Möller Cornelis Vuik Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis SN Applied Sciences Multigrid Reduction in Time Isogeometric Analysis p-multigrid |
| title | Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis |
| title_full | Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis |
| title_fullStr | Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis |
| title_full_unstemmed | Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis |
| title_short | Combining p-multigrid and Multigrid Reduction in Time methods to obtain a scalable solver for Isogeometric Analysis |
| title_sort | combining p multigrid and multigrid reduction in time methods to obtain a scalable solver for isogeometric analysis |
| topic | Multigrid Reduction in Time Isogeometric Analysis p-multigrid |
| url | https://doi.org/10.1007/s42452-022-05043-7 |
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