Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations

摘要

We consider a stabilized multiscale nonconforming finite elementmethod for the two-dimensional stationary incompressible Navier-Stokes problem. This method is based on the enrichment of the standard polynomial space for the velocitycomponent with multiscale function and the nonconforming lowest equal-orderfinite element pair. Stability and existence uniqueness of the numerical solution areestablished, optimal-order error estimates are also presented. Finally, some numericalresults are presented to validate the performance of the proposed method.