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math.AP2025
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…
math.AP2025
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…
math.AP2023
Direct Imaging Methods for Inverse Obstacle Scattering
General Ozochiawaeze
Direct imaging methods recover the presence, position, and shape of the unknown obstacles in time-harmonic inverse scattering without a priori knowledge of either the physical prop…