The Optimal L2 Error Estimate of Stabilized Finite Volume Method for the Stationary Navier-Stokes Problem

الملخص EN

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.