Superconvergence results are established for a nonconforming finite
element approximation of the stationary Navier-Stokes equations by
-projection method. This nonconforming finite element method
adopts the Crouzeix-Raviart element for the velocity and the
continuous piecewise linear element for the pressure. The current
paper complements the work of Li and Chen (2008) ,
which presents this pair of mixed finite element method for the
Stokes equations. Numerical results are shown to support the
developed theory analysis.
Key Words: Superconvergence, Navier-Stokes equations,
-projection, Nonconforming finite element, inf-sup
2000 Mathematics Subject Classification: Primary: 35Q30;
Secondary: 65N30, 65N12.