Geodesic
Numerical method for solving a two-dimensional electrical impedance tomography problem in the case of measurements on part of the outer boundary
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 11, pp. 1756-1766

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The two-dimensional electrical impedance tomography problem is considered in the case of a piecewise constant electrical conductivity. The task is to determine the unknown boundary separating the regions with different conductivity values, which are known. Input information is the electric field measured on a portion of the outer boundary of the domain. A numerical method for solving the problem is proposed, and numerical results are presented. 
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     author = {S. V. Gavrilov and A. M. Denisov},
     title = {Numerical method for solving a two-dimensional electrical impedance tomography problem in the case of measurements on part of the outer boundary},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1756--1766},
     publisher = {mathdoc},
     volume = {54},
     number = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_11_a6/}
}
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S. V. Gavrilov; A. M. Denisov. Numerical method for solving a two-dimensional electrical impedance tomography problem in the case of measurements on part of the outer boundary. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 11, pp. 1756-1766. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_11_a6/