Acta mathematica scientia, Series B >
A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS
Received date: 2007-09-07
Revised date: 2010-02-27
Online published: 2011-03-20
Supported by
The research is supported by NSF of China (10671184)
In this article, a new stable nonconforming mixed finite element scheme is proposed for the stationary Navier-Stokes equations, in which a new low order Crouzeix-Raviart type nonconforming rectangular element is taken for approximating space for the velocity and the piecewise constant element for the pressure. The optimal order error estimates for the approximation of both the velocity and the pressure in L2-norm are established, as well as one in broken H1-norm for the velocity. Numerical experiments are given which are consistent with our theoretical analysis.
SHI Dong-Yang , REN Jin-Cheng , GONG Wei . A NEW NONCONFORMING MIXED FINITE ELEMENT SCHEME FOR THE STATIONARY NAVIER-STOKES EQUATIONS[J]. Acta mathematica scientia, Series B, 2011 , 31(2) : 367 -382 . DOI: 10.1016/S0252-9602(11)60238-5
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