Figures & data
Figure 1. Counter-example on uniqueness: the solution τ (a) which verifies null Cauchy data and the source gτ (b).
Figure 2. Counter-example: solution on the annulus (a) (a, b) = (1, 2), (b) .
Figure 3. Counter-example: radial profile of the solution TA and the characteristic source.
Figure 4. Distribution of points in two geometries: (a) circle with radius 1, (b) a peanut shape. Note: Domain collocation points zi (black dots), boundary collocation points xi (grey dots) and external point sources yj (bold black dots).
Figure 5. (a) The computed g and (b) The absolute error of the source, in Simulation 1.
Figure 6. Simulation 2: (a) The exact g, and (b) The computed g with noisy data.
Figure 7. Simulation 3: Reconstruction of χω1. (a) The choice of collocation points; (b) the approximation of T.
Figure 8. Simulation 3: Reconstruction of χω1. (a) the approximation of g = χω1; (b) A density plot cutted at half amplitude of
and the comparison with ω1 (dotted boundary).
Figure 9. Simulation 4: Reconstruction of χω2. (a) The approximation ; (b) A density plot cutted at half amplitude of
and the comparison with ω2 (dotted boundary).
