A Nonoverlapping Domain Decomposition Method for an Exterior Anisotropic Quasilinear Elliptic Problem in Elongated Domains

Table 6

The relationship between meshes and convergence rate (𝑁=10, 𝜃_𝑘=0.65, and 𝜀=0.50).

(𝑚, 𝑀)	Error	Iteration number
		0	1	2	3	4	5	6	9
(2,8)	𝑒0	8.2535𝐸−01	4.8503𝐸−01	3.7829𝐸−01	3.3445𝐸−01	3.1417𝐸−01	3.0370𝐸−01	2.9771𝐸−01	2.8963𝐸−01
	𝑒	4.0734𝐸−01	2.6879𝐸−01	2.2125𝐸−01	2.0008𝐸−01	1.8968𝐸−01	1.8407𝐸−01	1.8075𝐸−01	1.7609𝐸−01
	𝑒ℎ		2.0397𝐸−01	6.6268𝐸−02	2.7907𝐸−02	1.2785𝐸−02	6.3537𝐸−03	3.4410𝐸−03	1.0625𝐸−03
	𝑞ℎ	—	—	3.0780	2.3746	2.1829	2.0122	1.8465	1.3787
(4,16)	𝑒0	5.3524𝐸−01	1.8866𝐸−01	1.1017𝐸−01	8.6488𝐸−02	7.8123𝐸−02	7.4538𝐸−02	7.2733𝐸−02	7.0595𝐸−02
	𝑒	3.0655𝐸−01	1.1062𝐸−01	7.6720𝐸−02	6.5692𝐸−02	6.0842𝐸−02	5.8486𝐸−02	5.7219𝐸−02	5.5639𝐸−02
	𝑒ℎ		2.3531𝐸−01	5.4156𝐸−02	1.7431𝐸−02	6.7638𝐸−03	2.9679𝐸−03	1.4447𝐸−03	3.7294𝐸−04
	𝑞ℎ	—	—	4.3449	3.1069	2.5771	2.2790	2.0543	1.4481