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Unified stabilized finite element formulations for the Stokes and the Darcy problems

Autor
Badia, S.; Codina, R.
Tipus d'activitat
Article en revista
Revista
SIAM journal on numerical analysis
Data de publicació
2009-05
Volum
47
Número
3
Pàgina inicial
1971
Pàgina final
2000
DOI
https://doi.org/10.1137/08072632X Obrir en finestra nova
URL
http://epubs.siam.org/doi/abs/10.1137/08072632X Obrir en finestra nova
Resum
In this paper we propose stabilized finite element methods for both Stokes' and Darcy's problems that accommodate any interpolation of velocities and pressures. Apart from the interest of this fact, the important issue is that we are able to deal with both problems at the same time, in a completely unified manner, in spite of the fact that the functional setting is different. Concerning the stabilization formulation, we discuss the effect of the choice of the length scale appearing in the expres...
Paraules clau
Stokes–Darcy's problem, characteristic length scale, orthogonal subgrid scales, stabilized finite element methods
Grup de recerca
(MC)2 - UPC Mecànica de Medis Continus i Computacional
ANiComp - Anàlisi numèrica i computació científica

Participants