1 citations · 2 across the 8 of their papers we have counts for
8 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…
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…
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…
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…
Direct sampling method via Landweber iteration for an absorbing scatterer with a conductive boundary
Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld
In this paper, we consider the inverse shape problem of recovering isotropic scatterers with a conductive boundary condition. Here, we assume that the measured far-field data is kn…
Reconstruction of small and extended scatterers with a conductive boundary using far-field data
Rafael Ceja Ayala, Isaac Harris
In this paper, we consider the inverse shape problem of recovering small and extended isotropic scatterers with a conductive boundary condition. Here, we assume that the measured f…
Analysis of the transmission eigenvalue problem with two conductivity parameters
Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld +1
In this paper, we provide an analytical study of the transmission eigenvalue problem with two conductivity parameters. We will assume that the underlying physical model is given by…