Inverse Problems via the “Generalized Collage Theorem” for Vector-Valued Lax-Milgram-Based Variational Problems

Table 3

Recovered parameter values for Example 3. True values are .

		Recovered	Recovered
10	0	(9.9282, 1.9728, 2.9134, 0.0068)	(9.9242, 1.9264, 2.9625, −0.0068)
10	0.01	(9.9268, 1.9641, 2.9096, −0.0097)	(9.9233, 1.9257, 2.9594, −0.0087)
10	0.03	(9.9246, 1.9653, 2.9065, −0.0157)	(9.9219, 1.9218, 2.9573, −0.0127)
10	0.05	(9.9232, 1.9685, 2.7664, −0.0221)	(9.9213, 1.7821, 2.9567, −0.0170)
20	0	(9.9581, 1.9899, 2.9921, −0.0018)	(9.9574, 1.9919, 2.9878, 0.0001)
20	0.01	(9.9575, 1.9886, 2.9780, 0.0002)	(9.9565, 1.9827, 2.9867, −0.0018)
20	0.03	(9.9481, 1.9814, 2.9786, 0.0065)	(9.9456, 1.9241, 2.9801, 0.0063)
20	0.05	(9.9378, 1.9682, 2.9141, 0.0156)	(9.9228, 1.9152, 2.9680, 0.0153)
30	0	(10.004, 1.9954, 2.9904, 0.0000)	(9.9954, 1.9984, 2.9957, 0.0000)
30	0.01	(9.9796, 1.9965, 2.9809, −0.0008)	(9.9761, 1.9830, 3.0148, −0.0008)
30	0.03	(9.9663, 2.0146, 3.0216, −0.0059)	(9.9656, 1.9816, 2.9944, −0.0059)
30	0.05	(9.9643, 2.0533, 2.9785, −0.0220)	(9.9640, 2.0321, 3.0554, −0.0219)