Recovering the conductivity from a single measurement of interior data
We consider the problem of recovering the conductivity of an object from knowledge of the magnitude of one current density field in its interior. A known voltage potential is assumed imposed at the boundary. We prove identifiability and propose an iterative reconstruction procedure. The computational feasibility of this procedure is demonstrated in some numerical experiments.
"Recovering the conductivity from a single measurement of interior data" (2009). Faculty Bibliography 2000s. 1936.