Numerical method for solving a two-dimensional electrical impedance tomography problem in the case of measurements on part of the outer boundary

被引：0

作者：

S. V. Gavrilov

A. M. Denisov

机构：

[1] Moscow State University,Faculty of Computational Mathematics and Cybernetics

来源：

Computational Mathematics and Mathematical Physics | 2014年 / 54卷

关键词：

electrical impedance tomography; piecewise constant conductivity; method of boundary integral equations; Tikhonov regularization;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：1690 / 1699

页数：9

共 50 条

[1] Numerical method for solving a two-dimensional electrical impedance tomography problem in the case of measurements on part of the outer boundary
Gavrilov, S. V.
Denisov, A. M.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2014, 54 (11) : 1690 - 1699
[2] A numerical method for solving a three-dimensional electrical impedance tomography problem in the case of the data given on part of the boundary
Gavrilov S.V.
Denisov A.M.
Mathematical Models and Computer Simulations, 2016, 8 (4) : 369 - 381
[3] An Optimized Numerical Method for Solving the Two-Dimensional Impedance Equation
Robles G, C. M. A.
Bucio R, A.
Ramirez T, M. P.
WORLD CONGRESS ON ENGINEERING AND COMPUTER SCIENCE, WCECS 2012, VOL I, 2012, : 116 - 121
[4] Iterative method for solving a three-dimensional electrical impedance tomography problem in the case of piecewise constant conductivity and one measurement on the boundary
Gavrilov, S. V.
Denisov, A. M.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2012, 52 (08) : 1139 - 1148
[5] Iterative method for solving a three-dimensional electrical impedance tomography problem in the case of piecewise constant conductivity and one measurement on the boundary
S. V. Gavrilov
A. M. Denisov
Computational Mathematics and Mathematical Physics, 2012, 52 : 1139 - 1148
[6] First Characterization of a New Method for Numerically Solving the Dirichlet Problem of the Two-Dimensional Electrical Impedance Equation
Pedro Ramirez-Tachiquin, Marco
Robles Gonzalez, Cesar Marco Antonio
Adrian Hernandez-Becerril, Rogelio
Bucio Ramirez, Ariana Guadalupe
JOURNAL OF APPLIED MATHEMATICS, 2013,
[7] A Numerical Method for Determining the Inhomogeneity Boundary in the Electrical Impedance Tomography Problem in the Case of Piecewise-Constant Conductivity
Gavrilov S.V.
Mathematical Models and Computer Simulations, 2021, 13 (4) : 579 - 585
[8] A NUMERICAL-METHOD OF SOLVING A TWO-DIMENSIONAL PROBLEM FOR MAXWELL EQUATIONS
ARSENIN, VY
VASILKOV, GD
ZAGONOV, VP
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1985, 25 (03): : 33 - 39
[9] Shape Deformation in Two-Dimensional Electrical Impedance Tomography
Boyle, Alistair
Adler, Andy
Lionheart, William R. B.
IEEE TRANSACTIONS ON MEDICAL IMAGING, 2012, 31 (12) : 2185 - 2193
[10] Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography
Henrik Garde
Nuutti Hyvönen
Numerische Mathematik, 2021, 147 : 579 - 609

← 1 2 3 4 5 →