Convergence rates of approximations of incompressible flows through granular porous media

Roberto C. Cabrales; Marko A. Rojas-Medar; Élder J. Villamizar-Roa

doi:10.1007/s13137-020-00157-9

Convergence rates of approximations of incompressible flows through granular porous media

Roberto C. Cabrales
, Marko A. Rojas-Medar
, Élder J. Villamizar-Roa

Departamento de Matemática

Universidad de La Serena
Universidad Industrial de Santander

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

1 Cita (Scopus)

Resumen

We consider spectral Galerkin approximations for the strong solutions of a system of incompressible flows through granular porous medium in a bounded domain of Rⁿ, n= 2 , 3. We obtain uniform in time error bounds in the spatial L² and H¹-norms for approximations of the velocity. Finally, we present some numerical simulations to verify the good behavior of spectral Galerkin approximations.

Idioma original	Inglés
Número de artículo	19
Publicación	GEM - International Journal on Geomathematics
Volumen	11
N.º	1
DOI	https://doi.org/10.1007/s13137-020-00157-9
Estado	Publicada - 1 dic 2020

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abstract = "We consider spectral Galerkin approximations for the strong solutions of a system of incompressible flows through granular porous medium in a bounded domain of Rn, n= 2 , 3. We obtain uniform in time error bounds in the spatial L2 and H1-norms for approximations of the velocity. Finally, we present some numerical simulations to verify the good behavior of spectral Galerkin approximations.",

keywords = "Convergence rates, Granular porous media, Spectral Galerkin method",

author = "Cabrales, \{Roberto C.\} and Rojas-Medar, \{Marko A.\} and Villamizar-Roa, \{{\'E}lder J.\}",

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AB - We consider spectral Galerkin approximations for the strong solutions of a system of incompressible flows through granular porous medium in a bounded domain of Rn, n= 2 , 3. We obtain uniform in time error bounds in the spatial L2 and H1-norms for approximations of the velocity. Finally, we present some numerical simulations to verify the good behavior of spectral Galerkin approximations.

KW - Convergence rates

KW - Granular porous media

KW - Spectral Galerkin method

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Convergence rates of approximations of incompressible flows through granular porous media

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