l2 error estimate
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scholarly journals The Optimal L2 Error Estimate of Stabilized Finite Volume Method for the Stationary Navier-Stokes Problem

2012 ◽  
Vol 2012 ◽  
pp. 1-17
Author(s):  
Guoliang He ◽  
Jian Su ◽  
Wenqiang Dai
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Stokes Equations ◽  
Stokes Problem ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Stabilized Finite Element ◽  
L2 Error Estimate ◽  
Volume Method ◽  
Stationary Navier Stokes Equations

A finite volume method based on stabilized finite element for the two-dimensional stationary Navier-Stokes equations is analyzed. For the P1–P0 element, we obtain the optimal L2 error estimates of the finite volume solution uh and ph. We also provide some numerical examples to confirm the efficiency of the FVM. Furthermore, the effect of initial value for iterative method is analyzed carefully.

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