Geodesic
Comparison between different numerical discretizations for a Darcy-Forchheimer model
Electronic transactions on numerical analysis, Tome 34 (2009)
This paper is a numerical study of different discretizations for a mixed formulation of the Darcy- Forchheimer equation. Different finite elements are used: constant functions, conformal linear functions and Crouzeix- Raviart non-conformal finite elements. The behavior of the discretizations is analyzed through a comparative study of some test problems. The numerical results suggest that one of the proposed discretizations has better convergence properties for the velocity.
Classification : 35Q35, 74S05, 58C15, 65F10
Keywords: darcy-forchheimer's model, mixed formulation, numerical discretizations, finite elements, algorithm of alternating directions 
@article{ETNA_2009__34__a0,
     author = {L\'opez,  Hilda and Molina,  Br{\'\i}gida and Salas,  Jos\'e J.},
     title = {Comparison between different numerical discretizations for a {Darcy-Forchheimer} model},
     journal = {Electronic transactions on numerical analysis},
     year = {2009},
     volume = {34},
     zbl = {1185.35193},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__34__a0/}
}
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AU  - Molina,  Brígida
AU  - Salas,  José J.
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PY  - 2009
VL  - 34
UR  - http://geodesic.mathdoc.fr/item/ETNA_2009__34__a0/
LA  - en
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%A Salas,  José J.
%T Comparison between different numerical discretizations for a Darcy-Forchheimer model
%J Electronic transactions on numerical analysis
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%U http://geodesic.mathdoc.fr/item/ETNA_2009__34__a0/
%G en
%F ETNA_2009__34__a0
López,  Hilda; Molina,  Brígida; Salas,  José J. Comparison between different numerical discretizations for a Darcy-Forchheimer model. Electronic transactions on numerical analysis, Tome 34 (2009). http://geodesic.mathdoc.fr/item/ETNA_2009__34__a0/