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

Table 4

Convergence of two-level Newton 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	5.05710𝑒−02	/	2.04342𝑒−01	/	7.00340𝑒−03	/	0.204
6	6^2	9.71757𝑒−03	2.0340	8.42186𝑒−02	1.0930	1.74964𝑒−03	1.7104	0.848
8	8^2	3.03203𝑒−03	2.0243	4.57601𝑒−02	1.0602	6.91711𝑒−04	1.6129	2.768
10	10^2	1.23292𝑒−03	2.0163	2.87903𝑒−02	1.0383	3.42158𝑒−04	1.5772	6.316
12	12^2	5.92128𝑒−04	2.0113	1.98039𝑒−02	1.0261	1.93895𝑒−04	1.5576	13.269
14	14^2	3.18804𝑒−04	2.0083	1.44653𝑒−02	1.0189	1.20440𝑒−04	1.5445	24.717
16	16^2	1.86566𝑒−04	2.0062	1.10328𝑒−02	1.0143	7.99295𝑒−05	1.5352	42.030
18	18^2	1.16338𝑒−04	2.0049	8.69440𝑒−03	1.0112	5.57612𝑒−05	1.5285	69.469