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A characteristic stabilized finite element method for the non-stationary Navier-Stokes equations. (English) Zbl 1231.76151
The authors introduce a characteristic stabilized finite element scheme of the non-stationary Navier-Stokes equations for the lowest order pairs ${P}_{1}-{P}_{0}$ or ${Q}_{1}-{P}_{0}$, and give some error estimates for both the continuous and fully discrete versions of the method under certain regularity assumptions on the solution.
##### MSC:
 76M10 Finite element methods (fluid mechanics) 35Q30 Stokes and Navier-Stokes equations 65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
##### References:
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