Abstract
In this article, a new stable nonconforming mixed finite element scheme is proposed for the stationary Navier-Stokes equations, in which a new low order Crouzeix-Raviart type nonconforming rectangular element is taken for approximating space for the velocity and the piecewise constant element for the pressure. The optimal order error estimates for the approximation of both the velocity and the pressure in L 2-norm are established, as well as one in broken H 1-norm for the velocity. Numerical experiments are given which are consistent with our theoretical analysis.
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