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. Author manuscript; available in PMC: 2011 Jun 1.

Published in final edited form as: J Comput Phys. 2011 Jun;230(13):5239–5262. doi: 10.1016/j.jcp.2011.03.020

Table 3.

Numerical errors in solving PNP equations for protein structure 1ajj.

		Boundary condition I				Boundary condition II

	mesh size	L_∞	L_∞ order	L₂	L₂ order	L_∞	L_∞ order	L₂	L₂ order

	h = 1.0	0.11	—	1.20E-2	—	9.22E-2	—	8.88E-3	—
Φ	h = 0.5	2.87E-2	1.94	2.93E-3	2.03	2.35E-2	1.97	2.18E-3	2.03
	h = 0.25	7.56E-3	1.92	7.93E-4	1.89	5.94E-3	1.98	5.51E-4	1.98

	h = 1.0	0.11	—	1.25E-2	—	6.62E-2	—	5.99E-3	—
C₁	h = 0.5	4.70E-2	1.23	3.12E-3	2.00	1.05E-2	2.66	1.41E-3	2.09
	h = 0.25	1.24E-2	1.92	8.61E-4	1.86	1.83E-3	2.52	3.46E-4	2.03

	h = 1.0	6.35E-2	—	8.24E-3	—	3.81E-2	—	3.28E-3	—
C₂	h = 0.5	2.49E-2	1.49	2.00E-3	2.07	6.54E-3	2.54	7.53E-4	2.13
	h = 0.25	7.16E-3	1.73	5.62E-4	1.82	1.05E-3	2.64	1.82E-4	2.05