130 citations · 994 across the 42 of their papers we have counts for
6 papers · 1 filter
Magnet Resonance Electrical Impedance Tomography (MREIT): Convergence and Reduced Basis Approach
Dominik Garmatter, Bastian Harrach
This article considers the inverse problem of Magnet resonance electrical impedance tomography (MREIT) in two dimensions. A rigorous mathematical framework for this inverse problem…
Monotonicity-based inversion of the fractional Schrödinger equation I. Positive potentials
Bastian Harrach, Yi-Hsuan Lin
We consider the inverse problems of for the fractional Schrödinger equation by using monotonicity formulas. We provide if-and-only-if monotonicity relations between positive bounde…
Monotonicity and local uniqueness for the Helmholtz equation
Bastian Harrach, Valter Pohjola, Mikko Salo
This work extends monotonicity-based methods in inverse problems to the case of the Helmholtz (or stationary Schrödinger) equation in a bounded domain for fixed…
Detecting stochastic inclusions in electrical impedance tomography
Andrea Barth, Bastian Harrach, Nuutti Hyvönen +1
This work considers the inclusion detection problem of electrical impedance tomography with stochastic conductivities. It is shown that a conductivity anomaly with a random conduct…
Monotonicity and enclosure methods for the p-Laplace equation
Tommi Brander, Bastian von Harrach, Manas Kar +1
We show that the convex hull of a monotone perturbation of a homogeneous background conductivity in the -conductivity equation is determined by knowledge of the nonlinear Dirich…
Monotonicity-based Electrical Impedance Tomography for Lung Imaging
Liangdong Zhou, Bastian Harrach, Jin Keun Seo
This paper presents a monotonicity-based spatiotemporal conductivity imaging method for continuous regional lung monitoring using electrical impedance tomography (EIT). The EIT dat…