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Proper generalized decomposition of time-multiscale models

Article dans une revue avec comité de lecture
Auteur
ccAMMAR, Amine
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
ccCHINESTA SORIA, Francisco
10921 Institut de Recherche en Génie Civil et Mécanique [GeM]
ccCUETO, Elias
161327 Aragón Institute of Engineering Research [Zaragoza] [I3A]
DOBLARÉ, Manuel
161327 Aragón Institute of Engineering Research [Zaragoza] [I3A]

URI
http://hdl.handle.net/10985/8499
DOI
10.1002/nme.3331
Date
2012
Journal
International Journal for Numerical Methods in Engineering

Résumé

Models encountered in computational mechanics could involve many time scales. When these time scales cannot be separated, one must solve the evolution model in the entire time interval by using the finest time step that the model implies. In some cases, the solution procedure becomes cumbersome because of the extremely large number of time steps needed for integrating the evolution model in the whole time interval. In this paper, we considered an alternative approach that lies in separating the time axis (one-dimensional in nature) in a multidimensional time space. Then, for circumventing the resulting curse of dimensionality, the proper generalized decomposition was applied allowing a fast solution with significant computing time savings with respect to a standard incremental integration.

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  • Laboratoire Angevin de Mécanique, Procédés et InnovAtion (LAMPA)

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