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 -

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.