TY - JOUR
T1 - An Algorithm for Cavity Reconstruction in Electrical Impedance Tomography
AU - Feng , Tianhong
AU - Ma , Fuming
JO - Communications in Mathematical Research 
VL - 3
SP - 279
EP - 288
PY - 2021
DA - 2021/05
SN - 27
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/cmr/19091.html
KW - electrical impedance tomography, conductivity, Levenberg-Marquardt
(L-M) algorithm.
AB - <p style="text-align: justify;">We consider the inverse problem of finding cavities within some object
from electrostatic measurements on the boundary. By a cavity we understand any
object with a different electrical conductivity from the background material of the
body. We give an algorithm for solving this inverse problem based on the output
nonlinear least-square formulation and the regularized Newton-type iteration. In
particular, we present a number of numerical results to highlight the potential and
the limitations of this method.</p>