• Corpus ID: 207870716

Localized sensitivity analysis at high-curvature boundary points of reconstructing inclusions in transmission problems

@article{Ammari2019LocalizedSA,
  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={arXiv: Analysis of PDEs},
  year={2019}
}
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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