A New Reduced Stabilized Mixed Finite-Element Method Based on Proper Orthogonal Decomposition for the Transient Navier-Stokes Equations

Table 1

Numerical results for the SMFE method.

ℎ^−1	‖𝑢−𝑢ℎ‖1‖𝑢‖1	𝑢𝐻^1 rate	‖𝑝−𝑝ℎ‖0‖𝑝‖0	𝑝𝐿^2 rate	CPU time (seconds)
24	0.1443070	—	0.0175033	—	1081
32	0.0973051	1.3699	0.0104506	1.7927	2906
40	0.0752875	1.1497	0.0072136	1.6612	11403
48	0.0619347	1.0708	0.0054000	1.5882	25375
56	0.0510066	1.2593	0.0042171	1.6040	42132
64	0.0437541	1.1486	0.0034805	1.4375	61320