5 papers
Factorization method for a clamped obstacle from near-field measurements via a far-field transformation
General Ozochiawaeze, Isaac Harris
This paper considers an inverse shape problem for recovering an unknown impenetrable clamped obstacle in two dimensions from near-field point source and dipole measurements for the…
Factorization method for the biharmonic scattering problem for an absorbing penetrable scatterer
Rafael Ceja Ayala, Isaac Harris, General Ozochiawaeze
This work extends the factorization method to the inverse scattering problem of reconstructing the shape and location of an absorbing penetrable scatterer embedded in a thin infini…
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…
Sampling methods for the inverse cavity scattering problem of biharmonic waves
Isaac Harris, Peijun Li, General Ozochiawaeze
This paper addresses the inverse problem of qualitatively recovering a clamped cavity in a thin elastic plate using far-field measurements. We present a strengthened analysis of th…
Well-posedness for the biharmonic scattering problem for a penetrable obstacle
Rafael Ceja Ayala, Isaac Harris, Tonatiuh Sánchez-Vizuet
We address the direct scattering problem for a penetrable obstacle in an infinite elastic two--dimensional Kirchhoff--Love plate. Under the assumption that the plate's thickness is…