Parallel in Time Algorithms for Nonlinear Iterative Methods
In this paper we investigate the feasibility of applying the Parareal algorithm [5, 6] for quasi-static nonlinear structural analysis problems. We describe how this proposal has been realized and present some preliminary numerical results of applying this algorithm to a beam undergoing nonlinear def...
Main Authors: | , |
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Format: | Article |
Language: | English |
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EDP Sciences
2018-01-01
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Series: | ESAIM: Proceedings and Surveys |
Online Access: | https://doi.org/10.1051/proc/201863248 |
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author | Gaja Mustafa Gorynina Olga |
author_facet | Gaja Mustafa Gorynina Olga |
author_sort | Gaja Mustafa |
collection | DOAJ |
description | In this paper we investigate the feasibility of applying the Parareal algorithm [5, 6] for quasi-static nonlinear structural analysis problems. We describe how this proposal has been realized and present some preliminary numerical results of applying this algorithm to a beam undergoing nonlinear deflection with a contact boundary condition. Further numerical experiments are needed to provide an evidence for the effciency of the method. |
first_indexed | 2024-04-11T01:56:44Z |
format | Article |
id | doaj.art-d4a17ff846be4b2fa65a4de776ccd3e2 |
institution | Directory Open Access Journal |
issn | 2267-3059 |
language | English |
last_indexed | 2024-04-11T01:56:44Z |
publishDate | 2018-01-01 |
publisher | EDP Sciences |
record_format | Article |
series | ESAIM: Proceedings and Surveys |
spelling | doaj.art-d4a17ff846be4b2fa65a4de776ccd3e22023-01-03T05:13:32ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592018-01-016324825710.1051/proc/201863248proc_esaim2018_248Parallel in Time Algorithms for Nonlinear Iterative MethodsGaja MustafaGorynina OlgaIn this paper we investigate the feasibility of applying the Parareal algorithm [5, 6] for quasi-static nonlinear structural analysis problems. We describe how this proposal has been realized and present some preliminary numerical results of applying this algorithm to a beam undergoing nonlinear deflection with a contact boundary condition. Further numerical experiments are needed to provide an evidence for the effciency of the method.https://doi.org/10.1051/proc/201863248 |
spellingShingle | Gaja Mustafa Gorynina Olga Parallel in Time Algorithms for Nonlinear Iterative Methods ESAIM: Proceedings and Surveys |
title | Parallel in Time Algorithms for Nonlinear Iterative Methods |
title_full | Parallel in Time Algorithms for Nonlinear Iterative Methods |
title_fullStr | Parallel in Time Algorithms for Nonlinear Iterative Methods |
title_full_unstemmed | Parallel in Time Algorithms for Nonlinear Iterative Methods |
title_short | Parallel in Time Algorithms for Nonlinear Iterative Methods |
title_sort | parallel in time algorithms for nonlinear iterative methods |
url | https://doi.org/10.1051/proc/201863248 |
work_keys_str_mv | AT gajamustafa parallelintimealgorithmsfornonlineariterativemethods AT goryninaolga parallelintimealgorithmsfornonlineariterativemethods |