TY - JOUR
T1 - Convergence rates of approximations of incompressible flows through granular porous media
AU - Cabrales, Roberto C.
AU - Rojas-Medar, Marko A.
AU - Villamizar-Roa, Élder J.
N1 - Publisher Copyright:
© 2020, Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2020/12/1
Y1 - 2020/12/1
N2 - 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.
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
UR - https://www.scopus.com/pages/publications/85087420955
U2 - 10.1007/s13137-020-00157-9
DO - 10.1007/s13137-020-00157-9
M3 - Article
AN - SCOPUS:85087420955
SN - 1869-2672
VL - 11
JO - GEM - International Journal on Geomathematics
JF - GEM - International Journal on Geomathematics
IS - 1
M1 - 19
ER -