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math.AP2024
Sampling methods for recovering buried corroded boundaries from partial electrostatic Cauchy data
Isaac Harris, Andreas Kleefeld, Heejin Lee
We consider the inverse shape and parameter problem for detecting corrosion from partial boundary measurements. This problem models the non-destructive testing for a partially buri…
math.AP2024
Direct sampling for recovering a clamped cavity from biharmonic far field data
Isaac Harris, Heejin Lee, Peijun Li
This paper concerns the inverse shape problem of recovering an unknown clamped cavity embedded in a thin infinite plate. The model problem is assumed to be governed by the two-dime…
math.AP2024
Analysis of the monotonicity method for an anisotropic scatterer with a conductive boundary
Victor Hughes, Isaac Harris, Heejin Lee
In this paper, we consider the inverse scattering problem associated with an anisotropic medium with a conductive boundary. We will assume that the corresponding far-field pattern…