scholarly journals A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation

1989 ◽  
Vol 23 (4) ◽  
pp. 627-647 ◽  
Author(s):  
F. Schieweck ◽  
L. Tobiska
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stokes Equation ◽  
Navier Stokes ◽  
Nonconforming Finite Element ◽  
Navier Stokes Equation ◽  
Nonconforming Finite Element Method ◽  
Element Method

scholarly journals Numerical solution of Navier stokes equation using control volume and finite element method

2016 ◽  
Vol 5 (1) ◽  
pp. 63
Author(s):  
Musa Adam Aigo
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Solution ◽  
Stokes Equation ◽  
Control Volume ◽  
Navier Stokes ◽  
Weak Formulation ◽  
Navier Stokes Equation ◽  
Fast Solution ◽  
Element Method

<p>The aim of this paper is twofold first we will  provide a numerical solution of the Navier Stokes equation using the Projection technique and finite element method. The problem will be introduced in weak formulation and a Finite Element method will be developed, then solve in a fast way the sparse system derived. Second, the projection method with Control volume approach will be applied to get a fast solution, in iterations count.</p>

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

2012 ◽  
Vol 2012 ◽  
pp. 1-27
Author(s):  
Tong Zhang ◽  
Shunwei Xu ◽  
Jien Deng
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stokes Equations ◽  
Stokes Problem ◽  
Navier Stokes ◽  
Optimal Order ◽  
Nonconforming Finite Element ◽  
Polynomial Space ◽  
Nonconforming Finite Element Method ◽  
Element Method

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.

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