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

Table 2

Convergence of two-level Oseen 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	5.05858𝑒−02	/	2.04349𝑒−01	/	7.00341𝑒−03	/	0.179
6	6^2	9.73019𝑒−03	2.0328	8.42217𝑒−02	1.0930	1.74965𝑒−03	1.7104	0.738
8	8^2	3.04358𝑒−03	2.0199	4.57618𝑒−02	1.0602	6.91725𝑒−04	1.6129	2.105
10	10^2	1.24408𝑒−03	2.0046	2.87914𝑒−02	1.0383	3.42169𝑒−04	1.5772	5.081
12	12^2	6.03073𝑒−04	1.9858	1.98046𝑒−02	1.0261	1.93904𝑒−04	1.5575	10.546
14	14^2	3.29574𝑒−04	1.9599	1.44658𝑒−02	1.0189	1.20448𝑒−04	1.5444	19.846
16	16^2	1.97162𝑒−04	1.9238	1.10332𝑒−02	1.0143	7.99367𝑒−05	1.5352	36.305
18	18^2	1.26739𝑒−04	1.8759	8.69472𝑒−03	1.0112	5.57676𝑒−05	1.5284	56.658