4 papers
On Sampling Methods for Inverse Biharmonic Scattering Problems in Supported Plates
Carlos Borges, Rafael Ceja Ayala, Peter Nekrasov
We study the inverse problem of qualitatively recovering a supported cavity in a thin elastic plate governed by the flexural (biharmonic) wave equation, using far-field pattern mea…
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…
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…