Reconstruction of the support function for inclusion from boundary measurements

@inproceedings{Ikehata2000ReconstructionOT,
  title={Reconstruction of the support function for inclusion from boundary measurements},
  author={Masaru Ikehata},
  year={2000}
}
  • Masaru Ikehata
  • Published 2000
  • Physics
  • Abstract - First we give a formula (procedure) for the reconstruction of the support function for unknown inclusion by means of the Dirichlet to Neumann map. In the procedure we never make use of the unique continuation property or the Runge approximation property of the governing equation. Second we apply the method to a similar problem for the Helmholtz equation. 
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    References

    SHOWING 1-10 OF 13 REFERENCES
    Reconstruction of inclusion from boundary measurements
    • 52
    • PDF
    RECONSTRUCTION OF THE SHAPE OF THE INCLUSION BY BOUNDARY MEASUREMENTS
    • 109
    A global uniqueness theorem for an inverse boundary value problem
    • 1,242
    • Highly Influential
    Global uniqueness for a two-dimensional inverse boundary value problem
    • 757
    Reconstruction of an obstacle from the scattering amplitude at a fixed frequency
    • 95
    A uniqueness theorem for an inverse boundary value problem in electrical prospection
    • 209
    • Highly Influential
    INVERSE SCATTERING FOR SINGULAR POTENTIALS IN TWO DIMENSIONS
    • 26
    • Highly Influential
    • PDF
    On uniqueness of recovery of a discontinuous conductivity coefficient
    • 185
    • Highly Influential
    Size estimation of inclusion
    • 86