Dr. Toufic El-Arwadi from the Department of Mathematics and Computer Science Department at Beirut Arab University was invited to give a talk at the Lebanese University on Tuesday November 13^th, 2012.

Title of the talk : Error estimates for reconstructed conductivity via the D-bar method

Several authors have treated the direct reconstructions methods for the Calder´on inverse conductivity problem in dimension two for regular, less regular and discontinuous conductivities. These methods consist on two steps: calculate the scattering transform from Cauchy data, then recover the conductivity from the scattering data. The first step is an ill posed step.
For this, many authors have treated several approximations of the scattering transform for regular case.
Dr. El-Arwadi  presented the geometrical e.ect of the conductivity on the reconstruction procedure. Also he presented the stability of some approximations and some numerical examples which justify his theoretical results.