Acousto-electric tomography with total variation regularization

BJ Adesokan, B Jensen, B **, K Knudsen - Inverse problems, 2019 - iopscience.iop.org
We study the numerical reconstruction problem in acousto-electric tomography of recovering
the conductivity distribution in a bounded domain from interior power density data. We …

Imaging anisotropic conductivity from internal measurements with mixed least-squares deep neural networks

S Cen, B **, X Li, Z Zhou - Journal of Computational Physics, 2025 - Elsevier
In this work we develop a novel algorithm, termed as mixed least-squares deep neural
network (MLS-DNN), to recover an anisotropic conductivity tensor from the internal …

Imaging with thermal noise induced currents

T DeGiovanni, FG Vasquez, C Mauck - SIAM Journal on Imaging Sciences, 2024 - SIAM
We use thermal noise induced currents to image the real and imaginary parts of the
conductivity of a body. Covariances of the thermal noise currents measured at a few …

Imaging anisotropic conductivities from current densities

H Liu, B **, X Lu - SIAM Journal on Imaging Sciences, 2022 - SIAM
In this paper, we propose and analyze a reconstruction algorithm for imaging an anisotropic
conductivity tensor in a second-order elliptic PDE with a nonzero Dirichlet boundary …

Chebyshev pseudospectral method in the reconstruction of orthotropic conductivity

E Boos, VM Luchesi, FSV Bazán - Inverse Problems in Science and …, 2021 - Taylor & Francis
In this paper, we present a method to reconstruct the spatially varying conductivity tensor in
isotropic and orthotropic materials, involved in a two-dimensional transient anisotropic …

Feasibility of acousto-electric tomography

B Jensen, A Kirkeby, K Knudsen - arxiv preprint arxiv:1908.04215, 2019 - arxiv.org
In acousto-electric tomography the goal is to reconstruct the electric conductivity in a domain
from electrostatic boundary measurements of corresponding currents and voltages, while …

Existence and uniqueness in anisotropic conductivity reconstruction with Faraday's law.

YJ Kim, MG Lee - Inverse Problems & Imaging, 2023 - search.ebscohost.com
We show that three sets of internal current densities are the right amount of data that give the
existence and the uniqueness at the same time in reconstructing an anisotropic conductivity …

Reconstructing anisotropic conductivities on two-dimensional Riemannian manifolds from power densities

K Knudsen, S Markvorsen, H Schlüter - arxiv preprint arxiv:2202.12056, 2022 - arxiv.org
We consider an electrically conductive compact two-dimensional Riemannian manifold with
smooth boundary. This setting defines a natural conductive Laplacian on the manifold and …

Feasibility of acousto-electric tomography

B Jensen, A Kirkeby, K Knudsen - Inverse Problems, 2024 - iopscience.iop.org
In acousto-electric tomography (AET) the goal is to reconstruct the electric conductivity in a
domain from electrostatic boundary measurements of corresponding currents and voltages …

[PDF][PDF] Donsub Rim

ADS Appl - J. Geophys. Res. Solid Earth, 2019 - dsrim.github.io
Donsub Rim Page 1 Donsub Rim CONTACT INFORMATION Campus Box 1146 E-mail: rim@wustl.edu
One Brookings Drive Webpage: dsrim.github.io St. Louis, MO, 63130-4899, USA RESEARCH …