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Journal Articles Comptes Rendus Mécanique Year : 2018

Wavelet-based multiscale proper generalized decomposition


Separated representations at the heart of Proper Generalized Decomposition are constructed incrementally by minimizing the problem residual. However, the modes involved in the resulting decomposition do not exhibit a clear multi-scale character. In order to recover a multi-scale description of the solution within a separated representation framework, we study the use of wavelets for approximating the functions involved in the separated representation of the solution. We will prove that such an approach allows separating the different scales as well as taking profit from its multi-resolution behavior for defining adaptive strategies.
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hal-01825531 , version 1 (28-06-2018)



Angel Leon, Anaïs Barasinski, Emmanuelle Abisset-Chavanne, Elias Cueto, Francisco Chinesta. Wavelet-based multiscale proper generalized decomposition. Comptes Rendus Mécanique, 2018, 346(7), pp.485-500. ⟨10.1016/j.crme.2018.04.013⟩. ⟨hal-01825531⟩
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