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

Table 1

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	0.375	2.3745𝐸−1	1.3649𝐸−1	—	—
24	3.265	1.1800𝐸−1	6.8136𝐸−2	1.0088	1.0023
36	10.39	7.8528𝐸−2	4.5442𝐸−2	1.0045	0.9990
48	27.562	5.8844𝐸−2	3.4113𝐸−2	1.0031	0.9968
60	61.25	4.7051𝐸−2	2.7326𝐸−2	1.0023	0.9942