1 citations · 2 across the 11 of their papers we have counts for
11 papers
Novel implementation of the extended sampling method for inverse biharmonic scattering
Isaac Harris, General Ozochiawaeze
This paper considers an inverse shape problem for recovering an unknown clamped obstacle in two dimensions from far--field measurements generated by a single incident wave or just…
Existence of transmission eigenvalues for biharmonic scattering by a clamped planar region
Isaac Harris, Andreas Kleefeld, Heejin Lee
In this paper, we study the so-called clamped transmission eigenvalue problem. This is a new transmission eigenvalue problem that is derived from the scattering of an impenetrable…
On the transmission eigenvalues for scattering by a clamped planar region
Isaac Harris, Heejin Lee, Andreas Kleefeld
In this paper, we consider a new transmission eigenvalue problem derived from the scattering by a clamped cavity in a thin elastic material. Scattering in a thin elastic material c…
Two direct sampling methods for an anisotropic scatterer with a conductive boundary
Isaac Harris, Victor Hughes, Andreas Kleefeld
In this paper, we consider the inverse scattering problem associated with an anisotropic medium with a conductive boundary condition. We will assume that the corresponding far--fie…
Sampling methods for recovering buried corroded boundaries from partial electrostatic Cauchy data
Isaac Harris, Andreas Kleefeld, Heejin Lee
We consider the inverse shape and parameter problem for detecting corrosion from partial boundary measurements. This problem models the non-destructive testing for a partially buri…
Direct sampling for recovering a clamped cavity from biharmonic far field data
Isaac Harris, Heejin Lee, Peijun Li
This paper concerns the inverse shape problem of recovering an unknown clamped cavity embedded in a thin infinite plate. The model problem is assumed to be governed by the two-dime…
A direct reconstruction method for radiating sources in Maxwell's equations with single-frequency data
Isaac Harris, Thu Le, Dinh-Liem Nguyen
This paper presents a fast and robust numerical method for reconstructing point-like sources in the time-harmonic Maxwell's equations given Cauchy data at a fixed frequency. This i…
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…
Inverse parameter and shape problem for an isotropic scatterer with two conductivity coefficients
Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld
In this paper, we consider the direct and inverse problem for isotropic scatterers with two conductive boundary conditions. First, we show the uniqueness for recovering the coeffic…
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…
Analysis and computation of the transmission eigenvalues with a conductive boundary condition
Isaac Harris, Andreas Kleefeld
We provide a new analytical and computational study of the transmission eigenvalues with a conductive boundary condition. These eigenvalues are derived from the scalar inverse scat…