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math.AP2025
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…
math.AP2023
Reconstruction of extended regions in EIT with a generalized Robin transmission condition
Govanni Granados, Isaac Harris, Heejin Lee
We consider an inverse shape problem coming from electrical impedance tomography with a generalized Robin transmission condition. We will derive an algorithm in order to detect whe…
math.AP2023
Reciprocity gap functional methods for potentials/sources with small volume support for two elliptic equations
Govanni Granados, Isaac Harris
In this paper, we consider inverse shape problems coming from diffuse optical tomography and inverse scattering. In both problems, our goal is to reconstruct small volume interior…