Geodesic
Numerical method for solving a three-dimentional electrical impedance tomography problem in case of data given on part of the boundary
Matematičeskoe modelirovanie, Tome 27 (2015) no. 11, pp. 95-109

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A three-dimentional electrical impedance tomography problem in case of object with a piecewise constant electrical conductivity is considered. The task is to determine the unknown boundary separating regions of object with different conductivity values, which are assumed to be known. Initial data for determination of inhomogeneity boundary represents electrical measurements taken on part of the object boundary. A numerical method for solving the problem is proposed, and numerical results are presented.
Keywords: electrical impedance tomography, piecewise constant conductivity, method of boundary integral equations, Tikhonov regularization. 
@article{MM_2015_27_11_a7,
     author = {S. V. Gavrilov and A. M. Denisov},
     title = {Numerical method for solving a three-dimentional electrical impedance tomography problem in case of data given on part of the boundary},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {95--109},
     publisher = {mathdoc},
     volume = {27},
     number = {11},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2015_27_11_a7/}
}
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S. V. Gavrilov; A. M. Denisov. Numerical method for solving a three-dimentional electrical impedance tomography problem in case of data given on part of the boundary. Matematičeskoe modelirovanie, Tome 27 (2015) no. 11, pp. 95-109. http://geodesic.mathdoc.fr/item/MM_2015_27_11_a7/