How to deal with measurement errors and lacking data in nonlinear force-free coronal magnetic field modelling?

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Volume 516 (June-July 2010)

A&A, 516 (2010) A107

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Table 1:

Evaluation of the reconstruction quality.
Model	$\nu$	$w_{\rm trans}$	VC	CS	NE	ME	Energy	L₁	L₂	L₃	It. Steps
Original			1	1	0	0	1	0.02	0.02
Potential			0.88	0.84	0.57	0.64	0.67	0	0.29
	Tests with ideal data
Old Code			1.00	0.92	0.18	0.43	0.99	0.01	0.01		1695
New Code	0.1	1	0.99	0.90	0.29	0.54	0.94	0.08	0.02	0.00	342
New Code	0.01	1	1.00	0.92	0.18	0.43	0.99	0.01	0.01	0.01	1478
New Code	0.001	1	1.00	0.91	0.18	0.42	0.97	0.01	0.01	0.15	3698
New Code	0.0001	1	0.95	0.89	0.42	0.57	0.79	0.02	0.02	19.7	7467
New Code	0.01	$\frac{B_T}{{\rm max}(B_T)}$	0.99	0.89	0.24	0.49	0.97	0.01	0.01	0.01	3826
New Code	0.01	$\left( \frac{B_T}{{\rm max}(B_T)} \right)^2$	0.97	0.89	0.39	0.58	0.88	0.01	0.02	0.09	2026
	B_T lacking for $B_T<0.05 \cdot {\rm max}(B_T)$ , 73% area, 14% flux
Old Code			0.98	0.85	0.38	0.61	0.91	0.42	0.30		446
New Code	0.01	1,0	0.99	0.89	0.32	0.56	0.94	0.10	0.04	0.01	622
New Code	0.001	1,0	0.99	0.88	0.26	0.51	0.97	0.04	0.02	0.02	5513
	B_T lacking for $B_T<0.1 \cdot {\rm max}(B_T)$ , 85% area, 24% flux
Old Code			0.96	0.82	0.47	0.64	0.85	1.39	0.97		244
New Code	0.01	1,0	0.98	0.87	0.40	0.60	0.90	0.28	0.08	0.03	486
New Code	0.001	1,0	0.98	0.89	0.33	0.54	0.93	0.11	0.03	0.18	3802
	B_T lacking for $B_z<0.05 \cdot {\rm min}(B_z)$ , 95% area, 49% flux
Old Code			0.90	0.82	0.56	0.65	0.67	23.4	20.7		337
New Code	0.01	1,0	0.92	0.84	0.50	0.63	0.78	4.17	0.27	0.57	220
New Code	0.001	1,0	0.92	0.86	0.49	0.62	0.77	0.93	0.07	5.81	1058
	Uniform noise in B_T with $0.05 \cdot {\rm max}(B_T)$
Old Code			0.96	0.84	0.47	0.64	0.87	7.3	3.5		166
New Code	0.01	$\frac{B_T}{{\rm max}(B_T)}$	0.97	0.88	0.41	0.60	0.86	0.37	0.14	0.59	631
New Code	0.001	$\frac{B_T}{{\rm max}(B_T)}$	0.97	0.87	0.39	0.58	0.88	0.10	0.05	1.20	4904

Source LaTeX | All tables | In the text

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