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Multiscale proper generalized decomposition based on the partition of unity

Author
Ibáñez, R.; Ammar, A.; Cueto, E.; Huerta, A.; Duval, J.; Chinesta, F.
Type of activity
Journal article
Journal
International journal for numerical methods in engineering
Date of publication
2019-11-09
Volume
120
Number
6
First page
727
Last page
747
DOI
10.1002/nme.6154
Repository
http://hdl.handle.net/2117/169807 Open in new window
https://ww2.lacan.upc.edu/scientificPublications/files/pdfs/IJMNE_PC-IACHDC-19-white.pdf Open in new window
URL
https://onlinelibrary.wiley.com/doi/10.1002/nme.6154 Open in new window
Abstract
Solutions of partial differential equations could exhibit a multiscale behavior. Standard discretization techniques are constraints to mesh up to the finest scale to predict accurately the response of the system. The proposed methodology is based on the standard proper generalized decomposition rationale; thus, the PDE is transformed into a nonlinear system that iterates between microscale and macroscale states, where the time coordinate could be viewed as a 2D time, representing the microtime a...
Keywords
partition of unity, proper generalized decomposition, time multiscale
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

Participants