Identification of small inhomogeneities: Asymptotic factorization

@article{Ammari2007IdentificationOS,
  title={Identification of small inhomogeneities: Asymptotic factorization},
  author={Habib Ammari and Roland Griesmaier and Martin Hanke},
  journal={Math. Comput.},
  year={2007},
  volume={76},
  pages={1425-1448}
}
We consider the boundary value problem of calculating the electrostatic potential for a homogeneous conductor containing finitely many small insulating inclusions. We give a new proof of the asymptotic expansion of the electrostatic potential in terms of the background potential, the location of the inhomogeneities and their geometry, as the size of the inhomogeneities tends to zero. Such asymptotic expansions have already been used to design direct (i.e. noniterative) reconstruction algorithms… CONTINUE READING

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