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

Table 5

Convergence of two-level Newton correction scheme.

1/𝐻	1/ℎ	‖𝑢−𝑢^ℎ⋆‖/‖𝑢‖	Rate	‖𝑢−𝑢^ℎ⋆‖𝑉/‖𝑢‖𝑉	Rate	‖𝑝−𝑝^ℎ⋆‖/‖𝑝‖	Rate	CPU (s)
2	4^2	5.05706𝑒−02	/	2.04341𝑒−01	/	7.00308𝑒−03	/	0.263
2	6^2	9.71752𝑒−03	2.0340	8.42185𝑒−02	1.0930	1.74964𝑒−03	1.7104	1.206
3	8^2	3.03204𝑒−03	2.0243	4.57601𝑒−02	1.0602	6.91710𝑒−04	1.6129	3.729
3	10^2	1.23293𝑒−03	2.0163	2.87903𝑒−02	1.0383	3.42158𝑒−04	1.5772	9.294
3	12^2	5.92131𝑒−04	2.0113	1.98039𝑒−02	1.0261	1.93895𝑒−04	1.5576	19.497
4	14^2	3.18806𝑒−04	2.0082	1.44653𝑒−02	1.0189	1.20440𝑒−04	1.5445	37.133
4	16^2	1.86567𝑒−04	2.0062	1.10328𝑒−02	1.0143	7.99295𝑒−05	1.5352	65.678
4	18^2	OUT		OF		MEMORY