Research Article

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

Table 1

Recovered diffusivity using collage coding, Tikhonov regularization, and Landweber-Fridman iteration, with being the number of uniformly distributed sample points in , being the amplitude of the relative noise added, and the true value of .


10 0 0.00222
0.01 0.00295
0.1 0.00175
15 0 0.00152
0.01 0.00276
0.1 0.00878