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The DSpace digital repository system captures, stores, indexes, preserves, and distributes digital research material.Thu, 22 Feb 2024 06:22:53 GMT2024-02-22T06:22:53ZProper generalized decomposition of time-multiscale models
http://hdl.handle.net/10985/8499
Proper generalized decomposition of time-multiscale models
AMMAR, Amine; CHINESTA, Francisco; CUETO, Elias; DOBLARĂ‰, Manuel
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.
Sun, 01 Jan 2012 00:00:00 GMThttp://hdl.handle.net/10985/84992012-01-01T00:00:00ZAMMAR, AmineCHINESTA, FranciscoCUETO, EliasDOBLARĂ‰, ManuelModels 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.