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...

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Main Authors: Gaja Mustafa, Gorynina Olga
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
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.
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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