Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier‐Stokes Equations | Zendy

Tong Zhang | Zendy; Shunwei Xu | Zendy; Deng Ji-en | Zendy

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

Author(s) -

Tong Zhang,

Shunwei Xu,

Deng Ji-en

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/651808

Subject(s) - mathematics , finite element method , navier–stokes equations , mathematical analysis , element (criminal law) , mechanics , compressibility , structural engineering , physics , political science , law , engineering

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

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