A D-N Alternating Algorithm for Solving 3D Exterior Helmholtz Problems

Table 3

The relation between convergence rate and relaxation factor.

𝜃𝑛		Iterative times
		0	1	2	3	4	12
0.2	𝑒	0.13381	0.07449	0.05900	0.05302	0.05072	0.04928
	𝑒ℎ		0.02358	0.05223	0.01157	0.00256	0.00057
	𝑞ℎ			4.51432	4.51329	4.51206	4.51101
0.3	𝑒	0.13381	0.54416	0.04968	0.04330	0.04927	0.04927
	𝑒ℎ	0	0.50323	0.0806	0.01294	0.00209	0.00031
	𝑞ℎ	0	0	6.2432	6.2301	6.1952	6.1809
0.4	𝑒	0.13381	0.03434	0.05268	0.04849	0.04945	0.04927
	𝑒ℎ	0	0.01512	0.00176	0.00021	0.00002	0
	𝑞ℎ	0	0	8.5961	8.5532	8.3201	7.9326