Reconstruction of small and extended regions in EIT with a Robin transmission condition

DOI10.1088/1361-6420/ac8b2ezbMath1497.35514arXiv2203.09551OpenAlexW4292396148MaRDI QIDQ5867687

Isaac Harris, Govanni Granados

Publication date: 14 September 2022

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

Full work available at URL: https://arxiv.org/abs/2203.09551

zbMATH Keywords

factorization methodelectrical impedance tomographyMUSIC algorithminverse shape problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the uniqueness theorem of Holmgren
• The imaging of small perturbations in an anisotropic media
• Uniqueness, stability and global convergence for a discrete inverse elliptic Robin transmission problem
• Approximation of the zero-index transmission eigenvalues with a conductive boundary and parameter estimation
• Direct imaging of small scatterers using reduced time dependent data
• Detection of point-like scatterers using one type of scattered elastic waves
• A MUSIC-type algorithm for detecting internal corrosion from electrostatic boundary measure\-ments
• A direct sampling method for electrical impedance tomography
• A note on the MUSIC algorithm for impedance tomography
• The MUSIC-algorithm and the factorization method in inverse scattering theory for inhomogeneous media
• Detection of multiple inclusions from sweep data of electrical impedance tomography
• The MUSIC algorithm for impedance tomography of small inclusions from discrete data
• MUSIC electromagnetic imaging with enhanced resolution for small inclusions
• Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
• Electrical Impedance Tomography
• Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume
• Recent progress in electrical impedance tomography
• Why linear sampling works
• Global Uniqueness and Lipschitz-Stability for the Inverse Robin Transmission Problem
• Linear and Nonlinear Inverse Problems with Practical Applications
• Electrical impedance tomography
• Regularization of the factorization method applied to diffuse optical tomography
• Modified Sampling Method with Near Field Measurements
• MUSIC-type imaging of a thin penetrable inclusion from its multi-static response matrix
• Detecting inclusions with a generalized impedance condition from electrostatic data via sampling
• Asymptotic properties of MUSIC-Type Imaging in Two-Dimensional Inverse Scattering from Thin Electromagnetic Inclusions
• Direct Sampling Method for Diffusive Optical Tomography
• Near-field Imaging Point-like Scatterers and Extended Elastic Solid in a Fluid
• Multiple scattering of electromagnetic waves by finitely many point-like obstacles
• A generalized formulation of the linear sampling method with exact characterization of targets in terms of farfield measurements
• Factorization method and irregular inclusions in electrical impedance tomography
• The Mathematical Theory of Finite Element Methods
• A MUSIC Algorithm for Locating Small Inclusions Buried in a Half-Space from the Scattering Amplitude at a Fixed Frequency
• The linear sampling method and the MUSIC algorithm

This page was built for publication: Reconstruction of small and extended regions in EIT with a Robin transmission condition