Wavelet-based multiscale proper generalized decomposition
TypeArticles dans des revues avec comité de lecture
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.
Files in this item
Showing items related by title, author, creator and subject.
Multi-scale modeling and simulation of thermoplastic automated tape placement: Effects of metallic particles reinforcement on part consolidation LEÓN, Angel; PEREZ, Marta; BARASINSKI, Anaïs; ABISSET-CHAVANNE, Emmanuelle; DEFOORT, Brigitte; CHINESTA, Francisco (MDPI AG, 2019)This paper concerns engineered composites integrating metallic particles to enhance thermal and electrical properties. However, these properties are strongly dependent on the forming process itself that determines the ...
On the multi‑scale description of electrical conducting suspensions involving perfectly dispersed rods PEREZ, Marta; ABISSET-CHAVANNE, Emmanuelle; BARASINSKI, Anais; CHINESTA, Francisco; AMMAR, Amine; KEUNINGS, Roland (Springer, 2015)Nanocomposites allow for a significant enhancement of functional properties, in particular electrical conduction. In order to optimize materials and parts, predictive models are required to evaluate particle distribution ...
Tape surface characterization and classification in automated tape placement processability: Modeling and numerical analysis ARGERICH, Clara; IBÁÑEZ, Rubén; LEÓN, Angel; ABISSET-CHAVANNE, Emmanuelle; CHINESTA, Francisco (AIMS Press, 2018)Abstract: Many composite forming processes are based on the consolidation of preimpregnated preforms of different types, e.g., sheets, tapes, .... Composite plies are put in contact using different technologies and ...
Efficient Stabilization of Advection Terms Involved in Separated Representations of Boltzmann and Fokker-Planck Equations CHINESTA, Francisco; ABISSET-CHAVANNE, Emmanuelle; AMMAR, Amine; CUETO, Elias (Cambridge Univeristy Press, 2015)The fine description of complex fluids can be carried out by describing the evolution of each individual constituent (e.g. each particle, each macromolecule, etc.). This procedure, despite its conceptual simplicity, involves ...
NADAL, Enrique; ABISSET-CHAVANNE, Emmanuelle; CUETO, Elias; CHINESTA, Francisco (Elsevier, 2018)Even if the diffusion equation has been widely used in physics and engineering, and its physical content is well understood, some variants of it escape fully physical understanding. In particular, anormal diffusion appears ...