Two-Level Brezzi-Pitkäranta Stabilized Finite Element Methods for the Incompressible Flows

Table 3

Convergence of two-level Stokes iteration method.

1/𝐻	1/ℎ	‖𝑢−𝑢^ℎ‖/‖𝑢‖	Rate	‖𝑢−𝑢^ℎ‖𝑉/‖𝑢‖𝑉	Rate	‖𝑝−𝑝^ℎ‖/‖𝑝‖	Rate	CPU (s)
4	4^2	5.05773𝑒−02	/	2.04346𝑒−01	/	7.00344𝑒−03	/	0.163
6	6^2	9.72434𝑒−03	2.0333	8.42205𝑒−02	1.0930	1.74968𝑒−03	1.7103	0.606
8	8^2	3.03897𝑒−03	2.0215	4.57613𝑒−02	1.0602	6.91743𝑒−04	1.6128	1.808
10	10^2	1.23981𝑒−03	2.0089	2.87911𝑒−02	1.0383	3.42185𝑒−04	1.5772	4.451
12	12^2	5.98991𝑒−04	1.9950	1.98044𝑒−02	1.0261	1.93918𝑒−04	1.5575	9.314
14	14^2	3.25639𝑒−04	1.9768	1.44657𝑒−02	1.0189	1.20460𝑒−04	1.5443	17.481
16	16^2	1.93359𝑒−04	1.9518	1.10331𝑒−02	1.0143	7.99470𝑒−05	1.5350	30.246
18	18^2	1.23069𝑒−04	1.9179	8.69461𝑒−03	1.0112	5.57768𝑒−05	1.5283	49.980