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

Table 5

The relationship between meshes and convergence rate (𝑁=10, 𝜃_𝑘=0.65, and 𝜀=0.75).

(𝑚, 𝑀)	Error	Iteration number
		0	1	2	3	4	5	6	9
(2,8)	𝑒0	6.6354𝐸−01	3.8411𝐸−01	2.8271𝐸−01	2.3876𝐸−01	2.1771𝐸−01	2.0659𝐸−01	2.0013𝐸−01	1.9132𝐸−01
	𝑒	3.2474𝐸−01	2.0835𝐸−01	1.6359𝐸−01	1.4308𝐸−01	1.3278𝐸−01	1.2713𝐸−01	1.2375𝐸−01	1.1900𝐸−01
	𝑒ℎ		1.5452𝐸−01	5.6859𝐸−02	2.5207𝐸−02	1.2187𝐸−02	6.4127𝐸−03	3.6744𝐸−03	1.0834𝐸−03
	𝑞ℎ	—	—	2.7176	2.2557	2.0684	1.9004	1.7452	1.3973
(4,16)	𝑒0	4.4653𝐸−01	1.7098𝐸−01	8.8097𝐸−02	5.8527𝐸−02	4.7483𝐸−02	4.2925𝐸−02	4.0759𝐸−02	3.8380𝐸−02
	𝑒	2.5970𝐸−01	9.5295𝐸−02	5.1105𝐸−02	3.9408𝐸−02	3.4740𝐸−02	3.2516𝐸−02	3.1348𝐸−02	2.9955𝐸−02
	𝑒ℎ	—	1.7293𝐸−01	5.2160𝐸−02	2.0094𝐸−02	8.4650𝐸−03	3.8880𝐸−03	1.9662𝐸−03	4.5470𝐸−04
	𝑞ℎ	—	—	3.3154	2.5958	2.3738	2.1772	1.9774	1.5007