Iterative method for solving a three-dimensional electrical impedance tomography problem in the case of piecewise constant conductivity and one measurement on the boundary
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 8, pp. 1426-1436
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The problem of electrical impedance tomography in a bounded three-dimensional domain with a piecewise constant electrical conductivity is considered. The boundary of the inhomogeneity is assumed to be unknown. The inverse problem is to determine the surface that is the boundary of the inhomogeneity from given measurements of the potential and its normal derivative on the outer boundary of the domain. An iterative method for solving the inverse problem is proposed, and numerical results are presented.
@article{ZVMMF_2012_52_8_a5,
author = {S. V. Gavrilov and A. M. Denisov},
title = {Iterative method for solving a~three-dimensional electrical impedance tomography problem in the case of piecewise constant conductivity and one measurement on the boundary},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1426--1436},
publisher = {mathdoc},
volume = {52},
number = {8},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a5/}
}
TY - JOUR AU - S. V. Gavrilov AU - A. M. Denisov TI - Iterative method for solving a three-dimensional electrical impedance tomography problem in the case of piecewise constant conductivity and one measurement on the boundary JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2012 SP - 1426 EP - 1436 VL - 52 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a5/ LA - ru ID - ZVMMF_2012_52_8_a5 ER -
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S. V. Gavrilov; A. M. Denisov. Iterative method for solving a three-dimensional electrical impedance tomography problem in the case of piecewise constant conductivity and one measurement on the boundary. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 8, pp. 1426-1436. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_8_a5/