6 papers
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…
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…
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…
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…