Geodesic
Parallel in Time Algorithms for Nonlinear Iterative Methods
Mustafa Gaja1, 2 ; Olga Gorynina3
1Max Planck Institute for Plasma Physics
2Technische Universitt Mnchen
3Laboratoire de mathématiques de Besançon, University of Franche-Comté
ESAIM. Proceedings, Tome 63 (2018), pp. 248-257
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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.
DOI : 10.1051/proc/201863248

Mustafa Gaja  1 , 2   ; Olga Gorynina  3

1 Max Planck Institute for Plasma Physics
2 Technische Universitt Mnchen
3 Laboratoire de mathématiques de Besançon, University of Franche-Comté 
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     author = {Mustafa Gaja and Olga Gorynina},
     title = {Parallel in {Time} {Algorithms} for {Nonlinear} {Iterative} {Methods}},
     journal = {ESAIM. Proceedings},
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     doi = {10.1051/proc/201863248},
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     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201863248/}
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Mustafa Gaja; Olga Gorynina. Parallel in Time Algorithms for Nonlinear Iterative Methods. ESAIM. Proceedings, Tome 63 (2018), pp. 248-257. doi: 10.1051/proc/201863248

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