Dual-mixed finite element methods for the Navier-Stokes equations
Howell, Jason S. ; Walkington, Noel J.
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 47 (2013), p. 789-805 / Harvested from Numdam
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A mixed finite element method for the Navier-Stokes equations is introduced in which the stress is a primary variable. The variational formulation retains the mathematical structure of the Navier-Stokes equations and the classical theory extends naturally to this setting. Finite element spaces satisfying the associated inf-sup conditions are developed.

Publié le : 2013-01-01
DOI : https://doi.org/10.1051/m2an/2012050
Classification:  65N60,  65N12,  65M60,  65M12 
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     author = {Howell, Jason S. and Walkington, Noel J.},
     title = {Dual-mixed finite element methods for the Navier-Stokes equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {47},
     year = {2013},
     pages = {789-805},
     doi = {10.1051/m2an/2012050},
     mrnumber = {3056409},
     zbl = {1266.76029},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2013__47_3_789_0}
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Howell, Jason S.; Walkington, Noel J. Dual-mixed finite element methods for the Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 47 (2013) pp. 789-805. doi : 10.1051/m2an/2012050. http://gdmltest.u-ga.fr/item/M2AN_2013__47_3_789_0/

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