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math.NA2025
On the non-convexity issue in the radial Calderón problem
Giovanni S. Alberti, Romain Petit, Clarice Poon +1
A classical approach to the Calderón problem is to estimate the unknown conductivity by solving a nonlinear least-squares problem. It leads to a nonconvex optimization problem whi…
math.NA2024
Localization of point scatterers via sparse optimization on measures
Giovanni S. Alberti, Romain Petit, Matteo Santacesaria
We consider the inverse scattering problem for time-harmonic acoustic waves in a medium with pointwise inhomogeneities. In the Foldy-Lax model, the estimation of the scatterers' lo…