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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:
76M10Finite element methods (fluid mechanics)
35Q30Stokes and Navier-Stokes equations
65N30Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (BVP of PDE)
References:
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