MAHJOUB , Moncef

We consider the Cauchy problem of recovering both Neumann and Dirichlet data on the inner part of the boundary of an annular domain, from measurements of a harmonic function on some part of the outer boundary. The ultimate goal is to compute the impedance or Robin coefficient, which is the quotient of these extended data, on the inner boundary....

The problem we are dealing with is to recover a Robin coefficient (or impedance) from measurements performed on some part of the boundary of a domain, in the framework of nondestructive testing by the means of Electric Impedance Tomography. The impedance can provide information on the location of a corroded area, as well as on the extent of the...