Numerical solution method for the electric impedance tomography problem in the case of piecewise constant conductivity and several unknown boundaries

DOI10.1134/S0012266116070077zbMath1352.65446OpenAlexW2522618796MaRDI QIDQ337855

S. V. Gavrilov, A. M. Denisov

Publication date: 3 November 2016

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266116070077

zbMATH Keywords

numerical experimentsTikhonov regularizationelectric impedance tomography problemunknown boundaries

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (1)

Numerical method for solving an inverse problem for Laplace's equation in a domain with an unknown inner boundary

Cites Work

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• Numerical identification of discontinuous conductivity coefficients
• Nonlinear integral equations for the inverse electrical impedance problem
• Stability for an Inverse Problem in Potential Theory
• The Inverse Conductivity Problem with One Measurement: Uniqueness for Convex Polyhedra
• Numerical implementation of two noniterative methods for locating inclusions by impedance tomography

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