An approximate analytical solution to the forward inhomogeneous EIT problem on the 2D disk with allowance for the electrode contact impedance | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2021. № 74. DOI: 10.17223/19988621/74/3

An approximate analytical solution to the forward inhomogeneous EIT problem on the 2D disk with allowance for the electrode contact impedance

An approximate analytical solution of the potential distribution in a two-dimensional circle with a radially inhomogeneous conductivity is obtained for the boundary conditions of the full electrode model, which takes into account the contact resistance of the electrodes at a given current strength. The solution is obtained by separating variables and using Fourier series, for the coefficients of which it is necessary to solve a system of linear equations. The obtained solution was compared with an approximate analytical solution of a similar problem for a homogeneous disk and with the Neumann-Robin boundary conditions. A good agreement was obtained, the quality of which improved with an increase in the number of terms taken into account in the series.

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Keywords

elliptic equation in a circle, piecewise constant coefficients, complete electrode model with integro-differential boundary condition, Fourier series

Authors

Name	Organization	E-mail
Starchenko Alexander V.	Tomsk State University	starch@math.tsu.ru
Sednev Maxim A.	Tomsk State University	sednev99@mail.ru
Panko Sergey V.	Tomsk State University

Всего: 3

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