Convex backscattering support in electric impedance tomography

DOI10.1007/s00211-010-0320-9zbMath1215.78011OpenAlexW2025750507MaRDI QIDQ623331

Stefanie Reusswig, Martin Hanke, Nuutti Hyvönen

Publication date: 14 February 2011

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-010-0320-9

zbMATH Keywords

impedance tomographybackscattering for the inverse obstacleconvex backscattering supportinverse source problem for the Laplace equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory (78-02)

Related Items (7)

Mimicking relative continuum measurements by electrode data in two-dimensional electrical impedance tomography ⋮ An Optimal Bayesian Estimator for Absorption Coefficient in Diffuse Optical Tomography ⋮ Construction of Indistinguishable Conductivity Perturbations for the Point Electrode Model in Electrical Impedance Tomography ⋮ Electrostatic backscattering by insulating obstacles ⋮ Probabilistic interpretation of the Calderón problem ⋮ Convex source support in three dimensions ⋮ On statistical Calderón problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Source supports in electrostatics
• Linear sampling methods for inverse boundary value problems in potential theory
• Inverse Dirichlet problem and conformal mapping
• Application of the factorization method to the characterization of weak inclusions in electrical impedance tomography
• The factorization method for real elliptic problems
• Explicit Characterization of Inclusions in Electrical Impedance Tomography
• Level-set function approach to an inverse interface problem
• Numerical identification of discontinuous conductivity coefficients
• Convex Source Support and Its Application to Electric Impedance Tomography
• Recovering an obstacle and its impedance from Cauchy data
• On real-time algorithms for the location search of discontinuous conductivities with one measurement
• Numerical recovery of certain discontinuous electrical conductivities
• The determination of a discontinuity in a conductivity from a single boundary measurement
• The scattering support
• The factorization method for a class of inverse elliptic problems
• Complete Electrode Model of Electrical Impedance Tomography: Approximation Properties and Characterization of Inclusions
• An Inverse Backscatter Problem for Electric Impedance Tomography
• The Convex Back-Scattering Support
• Nonlinear integral equations and the iterative solution for an inverse boundary value problem
• Application of a weaker formulation of the factorization method to the characterization of absorbing inclusions in optical tomography

This page was built for publication: Convex backscattering support in electric impedance tomography