Wavelet-based multiscale proper generalized decomposition

Leon, A. ; Barasinski, A. ; Abisset-Chavanne, E. ; Cueto, E. (Universidad de Zaragoza) ; Chinesta, F.

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.crme.2018.04.013

Año: 2018

Publicado en: COMPTES RENDUS MECANIQUE 346, 7 (2018), 485-500
ISSN: 1631-0721

Factor impacto JCR: 0.966 (2018)

Categ. JCR: MECHANICS rank: 109 / 134 = 0.813 (2018) - Q4 - T3

Factor impacto SCIMAGO: 0.417 - Mechanics of Materials (Q2) - Materials Science (miscellaneous) (Q2)

Tipo y forma: Article (Published version)

Área (Departamento): Área Mec.Med.Cont. y Teor.Est. (Dpto. Ingeniería Mecánica)