Proper Generalized Decomposition of Time-Multiscale Models
Language
en
Article de revue
This item was published in
International Journal for Numerical Methods in Engineering. 2011, vol. 90, n° 5, p. 569-596
Wiley
English Abstract
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 ...Read more >
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.Read less <
English Keywords
time multiscale
proper generalized decomposition
separated representations
transient models
Origin
Hal imported