Year: 2011
Author: Tianhong Feng, Fuming Ma
Communications in Mathematical Research , Vol. 27 (2011), Iss. 3 : pp. 279–288
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2011-CMR-19091
Communications in Mathematical Research , Vol. 27 (2011), Iss. 3 : pp. 279–288
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: electrical impedance tomography conductivity Levenberg-Marquardt (L-M) algorithm.