90 citations · 201 across the 12 of their papers we have counts for
5 papers · 1 filter
Analysis of Seismic Inversion with Optimal Transportation and Softplus Encoding
Lingyun Qiu
This paper is devoted to theoretical and numerical investigation of the local minimum issue in seismic full waveform inversion (FWI). This paper provides a mathematical analysis of…
Determining anisotropic conductivity using diffusion tensor imaging data in magneto-acoustic tomography with magnetic induction
Habib Ammari, Lingyun Qiu, Fadil Santosa +1
In this paper we present a mathematical and numerical framework for a procedure of imaging anisotropic electrical conductivity tensor by integrating magneto-acoutic tomography with…
Analysis of the Magneto-acoustic Tomography with Magnetic Induction (MAT-MI)
Lingyun Qiu, Fadil Santosa
Magnetoacoustic tomography with magnetic induction (MAT-MI) is a coupled-physics medical imaging modality for determining conductivity distribution in biological tissue. The capabi…
Inverse boundary value problem for the Helmholtz equation: Multi-level approach and iterative reconstruction
Elena Beretta, Maarten V. de Hoop, Lingyun Qiu +1
We study the inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map at selected frequency as the data. We develop an explicit reconstruction o…
A convergence analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints
Maarten V. de Hoop, Lingyun Qiu, Otmar Scherzer
We consider nonlinear inverse problems described by operator equations in Banach spaces. Assuming conditional stability of the inverse problem, that is, assuming that stability hol…