Reconstruction of inclusion from boundary measurements

@inproceedings{Ikehata2002ReconstructionOI,
  title={Reconstruction of inclusion from boundary measurements},
  author={Masaru Ikehata},
  year={2002}
}
  • Masaru Ikehata
  • Published 2002
  • Mathematics
  • Abstract - We consider the problem of reconstructing of the boundary of an unknown inclusion together with its conducticity from the localized Dirichlet-to- Neumann map. We give an exact reconstruction proceduer and apply the method to an inverse boundary value problem for the system of the equations in the theory of elasticity. 
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    References

    SHOWING 1-10 OF 19 REFERENCES
    RECONSTRUCTION OF THE SHAPE OF THE INCLUSION BY BOUNDARY MEASUREMENTS
    • 109
    Global uniqueness for an inverse boundary problem arising in elasticity
    • 69
    • Highly Influential
    Global uniqueness for a two-dimensional inverse boundary value problem
    • 757
    A global uniqueness theorem for an inverse boundary value problem
    • 1,242
    Determining conductivity by boundary measurements II. Interior results
    • 351
    On uniqueness of recovery of a discontinuous conductivity coefficient
    • 185
    Identification of the shape of the inclusion having essentially bounded conductivity
    • 14
    Size estimation of inclusion
    • 86