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

1 citations · 2 across the 8 of their papers we have counts for

collaborators
Showing math.APShow all

6 papers · 1 filter

math.AP2024

Analysis of the monotonicity method for an anisotropic scatterer with a conductive boundary

Victor Hughes, Isaac Harris, Heejin Lee

In this paper, we consider the inverse scattering problem associated with an anisotropic medium with a conductive boundary. We will assume that the corresponding far-field pattern…

math.AP2023

Reconstruction of extended regions in EIT with a generalized Robin transmission condition

Govanni Granados, Isaac Harris, Heejin Lee

We consider an inverse shape problem coming from electrical impedance tomography with a generalized Robin transmission condition. We will derive an algorithm in order to detect whe…

math.AP2023

The anisotropic interior transmission eigenvalue problem with a conductive boundary

Victor Hughes, Isaac Harris, Jiguang Sun

In this paper, we study the transmission eigenvalue problem for an anisotropic material with a conductive boundary. We prove that the transmission eigenvalues for this problem exis…

math.AP20231 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.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…