An analysis of finite element approximation in electrical impedance tomography

DOI10.1088/0266-5611/30/4/045013zbMath1288.78033arXiv1312.1390OpenAlexW1986691474MaRDI QIDQ5418617

Xiliang Lu, Bangti Jin, Matthias Gehre

Publication date: 26 May 2014

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

Full work available at URL: https://arxiv.org/abs/1312.1390

zbMATH Keywords

convergence analysisfinite element approximationTikhonov regularizationelectrical impedance tomography

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (11)

Discretization and convergence of the EIT optimal control problem in Sobolev spaces with dominating mixed smoothness ⋮ The Linearized Inverse Problem in Multifrequency Electrical Impedance Tomography ⋮ The Bayesian formulation of EIT: analysis and algorithms ⋮ Electrical impedance tomography with deep Calderón method ⋮ A high order discontinuous Galerkin method for the recovery of the conductivity in electrical impedance tomography ⋮ Regularized Linear Inversion with Randomized Singular Value Decomposition ⋮ Convexification of electrical impedance tomography with restricted Dirichlet-to-Neumann map data ⋮ Acousto-electric tomography with total variation regularization ⋮ Numerical Homogenization and Model Order Reduction for Multiscale Inverse Problems ⋮ Low-Frequency Electromagnetic Imaging Using Sensitivity Functions and Beamforming ⋮ Adaptive reconstruction for electrical impedance tomography with a piecewise constant conductivity

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