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

Table 1

Numerical results of the FVM (𝜈=0.005, 𝛽=10).

ℎ	‖𝐴ℎ^1/2(𝑢−𝑢ℎ)‖0/‖𝐴ℎ^1/2𝑢‖0	Con. rate	‖𝑢−𝑢ℎ‖0/‖𝑢‖0	Con. rate	‖𝑝−𝑝ℎ‖0/‖𝑝‖0	Con. rate
1/16	0.06316279	—	0.00391173	—	0.07127911	—
1/32	0.03204341	0.97904713	0.00099767	1.97116812	0.03572585	0.99651095
1/64	0.01627933	0.97698618	0.00025462	1.97021278	0.01790786	0.99637536
1/128	0.00827253	0.97664010	0.00006499	1.96996167	0.00897672	0.99633198