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

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  • Tong Zhang
  • Shunwei Xu
  • Jien Deng

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.

Suggested Citation

  • Tong Zhang & Shunwei Xu & Jien Deng, 2012. "Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-27, October.
    • Handle: RePEc:hin:jnlaaa:651808
    DOI: 10.1155/2012/651808
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