Figures & data
Figure 1. The solution domain Ω with boundary Γ = ΓU ∪ ΓC given by (8) and (9). The arcs ΓU and ΓC meet at the two points γ1 and γ2. A total of 256 discretization points are constructed on Γ, 64 of which are located on ΓU. A source S1, for the generation of Cauchy data via (10), is marked by ‘*’.
Figure 2. Reference solutions f and g on ΓU for the problem detailed in Section 3.
Figure 3. Clean (no noise) Cauchy data fC and gC. Convergence of the reconstructions fU and gU with the dimension n of the monomial basis onto which fU is projected. Equations (18)–(20) are used (present). For comparison the corresponding results obtained with the method from Citation27 are included.
Figure 4. (a) Given clean (no noise) data fC in (1) and the corresponding noisy data. (b) Reconstruction of fU via (19) and (18) for n = 2 and noisy data.
