Resistor network approaches to electrical impedance tomography

zbMath1316.65096arXiv1107.0343MaRDI QIDQ5265128

Alexander V. Mamonov, Liliana Borcea, Vladimir Druskin, Fernando Guevara Vasquez

Publication date: 22 July 2015

Full work available at URL: https://arxiv.org/abs/1107.0343

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (16)

A discrete Liouville identity for numerical reconstruction of Schrödinger potentials ⋮ Direct, Nonlinear Inversion Algorithm for Hyperbolic Problems via Projection-Based Model Reduction ⋮ Boundary Value Problems on Finite Networks ⋮ Untangling the nonlinearity in inverse scattering with data-driven reduced order models ⋮ On extension of the data driven ROM inverse scattering framework to partially nonreciprocal arrays ⋮ A finite difference method for an inverse Sturm-Liouville problem in impedance form ⋮ Robust nonlinear processing of active array data in inverse scattering via truncated reduced order models ⋮ Overdetermined partial boundary value problems on finite networks ⋮ Less is often more: applied inverse problems using \(hp\)-forward models ⋮ Inverse problems: seeing the unseen ⋮ A Nonlinear Method for Imaging with Acoustic Waves Via Reduced Order Model Backprojection ⋮ Near-Optimal Perfectly Matched Layers for Indefinite Helmholtz Problems ⋮ On the Solvability of the Discrete Conductivity and Schrödinger Inverse Problems ⋮ Tailored interior and boundary parameter transformations for iterative inversion in electrical impedance tomography ⋮ Lippmann–Schwinger–Lanczos algorithm for inverse scattering problems ⋮ Reduced order models for spectral domain inversion: embedding into the continuous problem and generation of internal data

This page was built for publication: Resistor network approaches to electrical impedance tomography