Dual-mixed finite element methods for the Navier-Stokes equations
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 47 (2013) no. 3, p. 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 : https://doi.org/10.1051/m2an/2012050
Classification:  65N60,  65N12,  65M60,  65M12
Keywords: Navier-Stokes equations, mixed methods
@article{M2AN_2013__47_3_789_0,
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},
publisher = {EDP-Sciences},
volume = {47},
number = {3},
year = {2013},
pages = {789-805},
doi = {10.1051/m2an/2012050},
zbl = {1266.76029},
mrnumber = {3056409},
language = {en},
url = {http://www.numdam.org/item/M2AN_2013__47_3_789_0}
}

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, Volume 47 (2013) no. 3, pp. 789-805. doi : 10.1051/m2an/2012050. http://www.numdam.org/item/M2AN_2013__47_3_789_0/

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