Asymptotic Imaging of Perfectly Conducting Cracks

@article{Ammari2010AsymptoticIO,
  title={Asymptotic Imaging of Perfectly Conducting Cracks},
  author={Habib M. Ammari and Hyeonbae Kang and Hyundae Lee and Won-Kwang Park},
  journal={SIAM J. Sci. Comput.},
  year={2010},
  volume={32},
  pages={894-922}
}
In this paper, we consider cracks with Dirichlet boundary conditions. We first derive an asymptotic expansion of the boundary perturbations that are due to the presence of a small crack. Based on this formula, we design a noniterative approach for locating a collection of small cracks. In order to do so, we construct a response matrix from the boundary measurements. The location and the length of the crack are estimated, respectively, from the projection onto the noise space and the first… 
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