Tikhonov regularization for electrical impedance tomography on unbounded domains

DOI10.1088/0266-5611/19/3/308zbMath1034.65043OpenAlexW2004716871MaRDI QIDQ4407146

Michael Lukaschewitsch, Peter Maass, Michael K. Pidcock

Publication date: 26 June 2003

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/19/3/308

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Medical applications (general) (92C50) Inverse problems for PDEs (35R30) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (12)

A reconstruction algorithm for electrical impedance tomography based on sparsity regularization ⋮ Sensitivity analysis of a parabolic-elliptic problem ⋮ Analytical and numerical studies on the influence of multiplication operators for the ill-posedness of inverse problems ⋮ Sparsity reconstruction in electrical impedance tomography: an experimental evaluation ⋮ A three-dimensional image reconstruction algorithm for electrical impedance tomography using planar electrode arrays ⋮ Recycling Krylov subspaces for efficient large-scale electrical impedance tomography ⋮ Function spaces and optimal currents in impedance tomography ⋮ Sampling Methods ⋮ Elastic-net regularization for nonlinear electrical impedance tomography with a splitting approach ⋮ Sparse 3D reconstructions in electrical impedance tomography using real data ⋮ The asymptotic behaviour of weak solutions to the forward problem of electrical impedance tomography on unbounded three‐dimensional domains ⋮ On a nonlinear integral equation approach for the surface reconstruction in semi-infinite-layered domains

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