Multiscale proper generalized decomposition based on the partition of unity
CUETO, Elías G.
Universidad de Zaragoza = University of Zaragoza [Saragossa University] = Université de Saragosse
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Universidad de Zaragoza = University of Zaragoza [Saragossa University] = Université de Saragosse
CUETO, Elías G.
Universidad de Zaragoza = University of Zaragoza [Saragossa University] = Université de Saragosse
Universidad de Zaragoza = University of Zaragoza [Saragossa University] = Université de Saragosse
HUERTA, Antonio
Universitat Politècnica de Catalunya = Université polytechnique de Catalogne [Barcelona] [UPC]
< Leer menos
Universitat Politècnica de Catalunya = Université polytechnique de Catalogne [Barcelona] [UPC]
Idioma
en
Article de revue
Este ítem está publicado en
International Journal for Numerical Methods in Engineering. 2019, vol. 120, n° 6, p. 727-747
Wiley
Resumen
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 ...Leer más >
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 and macrotime scales. The macroscale effects are taken into account because of an FEM-based macrodiscretization, whereas the microscale effects are handled with unidimensional parent spaces that are replicated throughout the domain. The proposed methodology can be seen as an alternative route to circumvent prohibitive meshes arising from the necessity of capturing fine-scale behaviors.< Leer menos
Palabras clave en inglés
partition of unity
proper generalized decomposition
time multiscale
Orígen
Importado de HalCentros de investigación