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

Table 2

Recovered parameter values for Example 1. True values are .

			Recovered
			10	20	0	(3.0000, 4.9999, 2.0002)	(3.0000, 4.9999, 2.0001, 0.0001)
10	20	0.01	(2.9628, 4.9411, 2.1213)	(3.0259, 4.9717, 1.7660, 0.3278)
10	20	0.03	(2.9108, 4.8174, 2.3647)	(3.0879, 4.9132, 1.2916, 0.9902)
10	20	0.05	(2.8898, 4.6858, 2.6078)	(3.1637, 4.8520, 0.8091, 1.6614)
30	40	0	(3.0001, 4.9998, 2.0003)	(3.0001, 4.9998, 2.0002, 0.0001)
30	40	0.01	(2.9250, 4.9758, 2.0816)	(3.0265, 5.0203, 1.5585, 0.4778)
30	40	0.03	(2.8888, 4.8936, 2.2519)	(3.1537, 5.0431, 0.6498, 1.4600)
30	40	0.05	(3.0083, 4.7664, 2.4290)	(3.3781, 5.0415, −0.2832, 2.4671)