A Regularization Scheme for 2D Conductivity Imaging by the D-Bar Method

Abstract

This article deals with the D-bar method in order to determine the conductivity distribution inside a body from the electrical measurements at the boundary. We introduce a new algorithm called $t_m^B$ regularization which allows us to get a high order error estimates. Then we prove the stability of the corresponding method and we treat the case of nonsmooth conductivities.

Keywords:

• D-bar Method
• Inverse conductivity problem

MATHEMATICS SUBJECT CLASSIFICATION:

• 65R32