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

Table 1

The relationship between meshes and convergence rate (𝑁=10, 𝜃_𝑘=0.58, and 𝜇₁=1.5).

(𝑚,𝑀)	Error	Iteration number
		0	1	2	3	4	5	6	9
(2,8)	𝑒	4.9212𝐸−01	3.7241𝐸−01	3.0583𝐸−01	2.7007𝐸−01	2.5029𝐸−01	2.3880𝐸−01	2.3175𝐸−01	2.2183𝐸−01
	𝑒ℎ	—	1.1971𝐸−01	6.6581𝐸−02	3.5758𝐸−02	1.9781𝐸−02	1.1487𝐸−02	7.0490𝐸−03	2.2318𝐸−03
	𝑞ℎ	—	—	1.7980	1.8620	1.8077	1.7220	1.6296	1.3992
(4,16)	𝑒	3.4870𝐸−01	1.9037𝐸−01	1.1902𝐸−01	8.8599𝐸−02	7.5058𝐸−02	7.0101𝐸−02	6.9010𝐸−02	6.8244𝐸−02
	𝑒ℎ	—	1.5833𝐸−01	7.1346𝐸−02	3.0423𝐸−02	1.3541𝐸−02	6.3774𝐸−03	3.2007𝐸−03	6.2995𝐸−04
	𝑞ℎ	—	—	2.2192	2.3452	2.2467	2.1233	1.9925	1.5865