Inverse problems arise from the need to interpret indirect and incomplete measurements. As
an area of contemporary mathematics, the field of inverse problems is strongly driven by …

Inverse boundary problems are a rapidly developing area of applied mathematics with
applications throughout physics and the engineering sciences. However, the mathematical …

We consider the problem of the determination of the potential from the Dirichlet to Neumann
map of the Schrödinger operator. We show that this problem is severely ill-posed. The …

We discuss the stability issue for Calderón's inverse conductivity problem, also known as
Electrical Impedance Tomography. It is well known that this problem is severely ill-posed. In …

A strategy for regularizing the inversion procedure for the twodimensional D-bar
reconstruction algorithm based on the global uniqueness proof of Nachman [Ann. Math. 143 …

Full article: Calderóns' Inverse Problem for Anisotropic Conductivity in the Plane Skip to
Main Content Taylor and Francis Online homepage Taylor and Francis Online homepage …

Electrical Impedance tomography Adler, Andy and Gaburro, Romina and Lionheart, William
2015 MIMS EPrint: 2020.23 Manchester Ins Page 1 Electrical Impedance tomography Adler …

The problem of reconstructing an unknown electric conductivity from boundary
measurements has applications in medical imaging, geophysics, and nondestructive testing …

The effects of truncating the (approximate) scattering transform in the D-bar reconstruction
method for two-dimensional electrical impedance tomography are studied. The method is …

A fast method for solving∂ ̄-equations of the form∂ ̄ v= T v is presented, where v and T
are complex-valued functions of two real variables. The multigrid method of Vainikko [Int …