# Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems

@article{Ammari2022LocalizedSA,
title={Localized Sensitivity Analysis at High-Curvature Boundary Points of Reconstructing Inclusions in Transmission Problems},
author={Habib M. Ammari and Yat Tin Chow and Hongyu Liu},
journal={SIAM Journal on Mathematical Analysis},
year={2022}
}
• Published 3 November 2019
• Mathematics
• SIAM Journal on Mathematical Analysis
In this paper, we are concerned with the recovery of the geometric shapes of inhomogeneous inclusions from the associated far field data in electrostatics and acoustic scattering. We present a local resolution analysis and show that the local shape around a boundary point with a high magnitude of mean curvature can be reconstructed more easily and stably. In proving this, we develop a novel mathematical scheme by analyzing the generalized polarisation tensors (GPTs) and the scattering…
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