An Iterative Regularization Method to Solve the Cauchy Problem for the Helmholtz Equation

Figure 1

Example 1. The regularization solution with a priori and a posteriori parameter choice rules for the noise level 𝜖=10⁻². (a) 𝑦=0.1, (b) 𝑦=0.3, (c) 𝑦=0.6, and (d) 𝑦=0.9, respectively.

(a)

(b)

(c)

(d)