16 citations · 20 across the 16 of their papers we have counts for
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Bifurcations in Interior Transmission Eigenvalues: Theory and Computation
Davide Pradovera, Alessandro Borghi, Lukas Pieronek +1
The interior transmission eigenvalue problem (ITP) plays a central role in inverse scattering theory and in the spectral analysis of inhomogeneous media. Despite its smooth depende…
Analysis of the transmission eigenvalue problem for biharmonic scattering considering penetrable scatterers
Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld
In this paper, we provide an analytical study of the transmission eigenvalue problem in the context of biharmonic scattering with a penetrable obstacle. We will assume that the und…
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…
Direct and inverse scattering for an isotropic medium with a second-order boundary condition
Govanni Granados, Isaac Harris, Andreas Kleefeld
We consider the direct and inverse scattering problem for a penetrable, isotropic obstacle with a second-order Robin boundary condition, which asymptotically models the delaminatio…
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…