An Oseen Two-Level Stabilized Mixed Finite-Element Method for the 2D/3D Stationary Navier-Stokes Equations

Table 1

Comparison of the one-level stabilized method with the Oseen two-level stabilized method.

1/H	1/h	‖𝑢−𝑢ℎ‖𝐻1/‖𝑢‖𝐻1	rate	‖𝑝−𝑝ℎ‖𝐿2/‖𝑝‖𝐿2	rate	Time (s)
3	9	0.573428	/	0.140335	/	1.00
	9	0.573514	/	0.140348	/	0.45
4	16	0.250137	1.4419	0.0709911	/	6.00
	16	0.250247	1.4414	0.071002	1.1843	1.88
5	25	0.134685	1.3872	0.0430539	1.1181	50.00
	25	0.13479	1.3864	0.0430626	1.1205	24.85
6	36	0.0832799	1.3184	0.029072	1.0769	421.20
	36	0.0833677	1.3176	0.0290787	1.0768	214.00
7	49	0.056536	1.2563	0.0210298	1.0504	2526.50
	49	0.0566021	1.2560	0.0210348	1.0504	1255.30