Numerical Study on Several Stabilized Finite Element Methods for the Steady Incompressible Flow Problem with Damping

Table 6

Numerical results for the penalty method with 𝜈=1.0𝑒−4, 𝛼=1.0𝑒−4, and 𝑟=3.

1/ℎ	CPU-time	‖𝑢−𝑢ℎ‖1/‖𝑢‖1	‖𝑝−𝑝ℎ‖0/‖𝑝‖0	𝑢𝐻^1-rate	𝑝𝐿2-rate
12	0.219	2.8476𝐸−1	1.8917𝐸−1	—	—
24	1.625	1.4126𝐸−1	9.8071𝐸−2	1.0114	0.9478
36	5.719	9.3881𝐸−2	6.6229𝐸−2	1.0077	0.9682
48	15.64	7.0298𝐸−2	5.0001𝐸−2	1.0056	0.9771
60	32.281	5.6183𝐸−2	4.0161𝐸−2	1.0044	0.9820