Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier‐Stokes Equations
Tong Zhang, Shunwei Xu, Jien Deng · Abstract and Applied Analysis · 2012
We consider a stabilized multiscale nonconforming finite element method for the two‐dimensional stationary incompressible Navier‐Stokes problem. This method is based on the enrichment of the standard polynomial space for the velocity component with multiscale function and the nonconforming lowest equal‐order finite element pair. Stability and existence uniqueness of the numerical solution are established, optimal‐order error estimates are also presented. Finally, some numerical results are presented to validate the performance of the proposed method.