Two-Level Brezzi-Pitkäranta Discretization Method Based on Newton Iteration for Navier-Stokes Equations with Friction Boundary Conditions

Table 1

Convergence of one-level method.

1/ℎ	‖𝐮−𝐮^ℎ‖‖𝐮‖	Rate	‖𝐮−𝐮^ℎ‖𝑉‖𝐮‖𝑉	Rate	‖𝑝−𝑝^ℎ‖‖𝑝‖	Rate	CPU (s)
4^2	2.52501𝑒−02	/	1.77812𝑒−01	/	1.11990𝑒−02	/	0.717
6^2	4.31365𝑒−03	2.1790	7.17050𝑒−02	1.1199	5.03212𝑒−03	0.9865	4.633
8^2	1.24103𝑒−03	2.1653	3.83421𝑒−02	1.0880	2.44663𝑒−03	1.2533	14.602
10^2	4.84344𝑒−04	2.1083	2.39285𝑒−02	1.0564	1.32260𝑒−03	1.3783	36.925
12^2	2.30749𝑒−04	2.0334	1.63920𝑒−02	1.0374	7.82664𝑒−04	1.4388	79.451
14^2	1.26874𝑒−04	1.9401	1.19446𝑒−02	1.0266	4.98557𝑒−04	1.4628	148.934
16^2	7.80965𝑒−05	1.8170	9.09623𝑒−03	1.0201	3.36414𝑒−04	1.4730	265.996
18^2	OUT		OF		MEMORY