Dual-mixed finite element methods for the Navier-Stokes equations
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 47 (2013) no. 3, pp. 789-805.

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.

DOI : 10.1051/m2an/2012050
Classification : 65N60, 65N12, 65M60, 65M12
Mots-clés : Navier-Stokes equations, mixed methods
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     title = {Dual-mixed finite element methods for the {Navier-Stokes} equations},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {789--805},
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     url = {http://archive.numdam.org/articles/10.1051/m2an/2012050/}
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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 , Tome 47 (2013) no. 3, pp. 789-805. doi : 10.1051/m2an/2012050. http://archive.numdam.org/articles/10.1051/m2an/2012050/

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