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

Tong Zhang, Shunwei Xu and Jien Deng

Abstract and Applied Analysis, 2012, vol. 2012, 1-27

Abstract:

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:651808

DOI: 10.1155/2012/651808

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