Abstract

This paper studies a low order mixed finite element method (FEM) for nonstationary incompressible Navier-Stokes equations. The velocity and pressure are approximated by the nonconforming constrained Q1rot element and the piecewise constant, respectively. The superconvergent error estimates of the velocity in the broken H1-norm and the pressure in the L2-norm are obtained respectively when the exact solutions are reasonably smooth. A numerical experiment is carried out to confirm the theoretical results.

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