activity
20142023
most citedThe factorization method for a defective region in an anisotropic material

18 citations · 36 across the 25 of their papers we have counts for

collaborators

29 papers

math.AP2023★ 1 cited

Direct sampling method via Landweber iteration for an absorbing scatterer with a conductive boundary

Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld

In this paper, we consider the inverse shape problem of recovering isotropic scatterers with a conductive boundary condition. Here, we assume that the measured far-field data is kn…

math.NA2023

On reconstruction of small sources from Cauchy data at a fixed frequency

Isaac Harris, Thu Le, Dinh-Liem Nguyen

This short paper is concerned with the numerical reconstruction of small sources from boundary Cauchy data for a single frequency. We study a sampling method to determine the locat…

math.AP2023

Regularized Factorization Method for a perturbed positive compact operator applied to inverse scattering

Isaac Harris

In this paper, we consider a regularization strategy for the factorization method when there is noise added to the data operator. The factorization method is a qualitative method u…

math.AP2023

Reciprocity gap functional methods for potentials/sources with small volume support for two elliptic equations

Govanni Granados, Isaac Harris

In this paper, we consider inverse shape problems coming from diffuse optical tomography and inverse scattering. In both problems, our goal is to reconstruct small volume interior…

math.AP2023

Reconstruction of small and extended scatterers with a conductive boundary using far-field data

Rafael Ceja Ayala, Isaac Harris

In this paper, we consider the inverse shape problem of recovering small and extended isotropic scatterers with a conductive boundary condition. Here, we assume that the measured f…

math.AP2022

Analysis of the transmission eigenvalue problem with two conductivity parameters

Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld +1

In this paper, we provide an analytical study of the transmission eigenvalue problem with two conductivity parameters. We will assume that the underlying physical model is given by…