Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations. (2nd October 2012)

• Record Type: Journal Article
• Authors: Zhang, Tong; Xu, Shunwei; Deng, Jien
• Other Names: Chen Rudong Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-10-02
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/651808
• Languages: English
• ISSNs: 1085-3375

Abstract

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.