A polarization tensor approximation for the Hessian in iterative solvers for non-linear inverse problems
From MaRDI portal
Publication:5861308
DOI10.1080/17415977.2021.1951722OpenAlexW3196434112MaRDI QIDQ5861308
M. G. Crabb, William R. B. Lionheart, F. M. Watson
Publication date: 4 March 2022
Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.08870
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Reconstruction of inhomogeneous conductivities via the concept of generalized polarization tensors
- \(hp\)-finite element discretisation of the electrical impedance tomography problem
- Polarization and moment tensors. With applications to inverse problems and effective medium theory
- NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules
- Analysis of the Hessian for inverse scattering problems. III: Inverse medium scattering of electromagnetic waves in three dimensions.
- Characterizing the shape and material properties of hidden targets from magnetic induction data
- Analysis of the Hessian for inverse scattering problems: I. Inverse shape scattering of acoustic waves
- Analysis of the Hessian for inverse scattering problems: II. Inverse medium scattering of acoustic waves
- Inexact Newton–Landweber iteration for solving nonlinear inverse problems in Banach spaces
- Convergence rates for the iteratively regularized Gauss–Newton method in Banach spaces
- Electrical impedance tomography and Calderón's problem
- Computation of the Hessian for least-squares solutions of inverse problems of reflection seismology
- Convergence of a Reconstruction Method for the Inverse Conductivity Problem
- Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
- Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
- On optimization techniques for solving nonlinear inverse problems
- Characterisation of multiple conducting permeable objects in metal detection by polarizability tensors
- Convergence study of 2D forward problem of electrical impedance tomography with high-order finite elements
- Quasi-Newton methods for large-scale electromagnetic inverse problems
- Computational Methods for Inverse Problems
- Electrical impedance tomography
- Full Waveform Inversion and the Truncated Newton Method
- Inverse Born series for the Calderon problem
- MUSIC‐Type Electromagnetic Imaging of a Collection of Small Three‐Dimensional Inclusions
- A Generalization of a Theorem of Bôcher