This work derives explicit series reversions for the solution of Calderón's problem. The
governing elliptic partial differential equation is $\nabla\cdot (A\nabla u)= 0$ in a bounded …

Electrical Impedance Tomography (EIT) aims at reconstructing the electric conductivity
distribution in a body from electro-static boundary measurements. The inverse problem is …

We treat an inverse electrical conductivity problem which deals with the reconstruction of
nonlinear electrical conductivity starting from boundary measurements in steady currents …

We consider an inverse obstacle scattering problem for the Helmholtz equation with
obstacles that carry mixed Dirichlet and Neumann boundary conditions. We discuss far field …

We derive a simple criterion that ensures uniqueness, Lipschitz stability and global
convergence of Newton's method for the finite dimensional zero-finding problem of a …

We consider the reconstruction of the support of an unknown perturbation to a known
conductivity coefficient in Calder\'on's problem. In a previous result by the authors on …

We consider an inverse medium scattering problem for the Helmholtz equation in a closed
cylindrical waveguide with penetrable compactly supported scattering objects. We develop …

This short note considerably simplifies a reconstruction method by the author (Garde, 2020),
for reconstructing piecewise constant layered conductivities (PCLC) from partial boundary …

In this paper, we deal with the problem of determining perfectly insulating regions (cavities)
from one boundary measurement in a nonlinear elliptic equation arising from cardiac …

We consider the problem of reconstructing inhomogeneities in an isotropic elastic body
using time harmonic waves. Here we extend the so called monotonicity method for inclusion …