Convergence rates of approximations of incompressible flows through granular porous media

Convergence rates of approximations of incompressible flows through granular porous media

We consider spectral Galerkin approximations for the strong solutions of a system of incompressible flows through granular porous medium in a bounded domain of R n , n = 2 , 3 . We obtain uniform in time error bounds in the spatial L 2 and H 1 -norms for approximations of the velocity. Finally, we p...

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Veröffentlicht in:GEM international journal on geomathematics 2020-12, Vol.11 (1), Article 19
Hauptverfasser: Cabrales, Roberto C., Rojas-Medar, Marko A., Villamizar-Roa, Élder J.
Format: Artikel
Sprache:eng
Schlagworte:
Applications of Mathematics
Computational Science and Engineering
Earth Sciences
Mathematics
Mathematics and Statistics
Original Paper
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Zusammenfassung:We consider spectral Galerkin approximations for the strong solutions of a system of incompressible flows through granular porous medium in a bounded domain of R n , n = 2 , 3 . We obtain uniform in time error bounds in the spatial L 2 and H 1 -norms for approximations of the velocity. Finally, we present some numerical simulations to verify the good behavior of spectral Galerkin approximations.
ISSN:1869-2672
1869-2680
DOI:10.1007/s13137-020-00157-9