An inverse problem is considered to identify the geometry of discontinuitie
s in a conductive material Omega subset of R-2 with conductivity 1 + (k - 1
)chi(D) from the measurements taken on the boundary partial derivative Omeg
a, where D subset of Omega and k is a known positive constant. We propose a
n efficient numerical algorithm for the problem to identify D in a certain
class by a single measurement. Several numerical results are discussed.