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

Table 1

Convergence of one-level method.

1/ℎ	‖𝑢−𝑢ℎ‖/‖𝑢‖	Rate	‖𝑢−𝑢ℎ‖𝑉/‖𝑢‖𝑉	Rate	‖𝑝−𝑝ℎ‖/‖𝑝‖	Rate	CPU (s)
4^2	5.05728𝑒−02	/	2.04342𝑒−01	/	7.00342𝑒−03	/	0.271
6^2	9.71970𝑒−03	2.0338	8.42186𝑒−02	1.0930	1.74965𝑒−03	1.7104	1.211
8^2	3.03424𝑒−03	2.0234	4.57602𝑒−02	1.0602	6.91717𝑒−04	1.6129	4.526
10^2	1.23515𝑒−03	2.0139	2.87904𝑒−02	1.0383	3.42162𝑒−04	1.5772	10.509
12^2	5.94367𝑒−04	2.0059	1.98039𝑒−02	1.0261	1.93897𝑒−04	1.5576	22.588
14^2	3.21053𝑒−04	1.9977	1.44653𝑒−02	1.0189	1.20442𝑒−04	1.5445	44.181
16^2	1.88826𝑒−04	1.9875	1.10329𝑒−02	1.0143	7.99308𝑒−05	1.5352	80.286
18^2	OUT		OF		MEMORY