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.
@article{arxiv.1603.09231,
title = {Dual-Mixed Finite Element Methods for the Navier-Stokes Equations},
author = {Jason S. Howell and Noel J. Walkington},
journal= {arXiv preprint arXiv:1603.09231},
year = {2016}
}