• Publications
  • Influence
RECONSTRUCTION OF THE SHAPE OF THE INCLUSION BY BOUNDARY MEASUREMENTS
We give a formula for the reconstruction of the shape of the unknown inclusion by means of the Dirichlet to Neumann map.
  • 109
  • 6
Size estimation of inclusion
This paper concerns the estimation of the size(Lebesgue measure) of an unknown inclusion imbedded in a known reference conductor or elasctic body. First, we point out two improvements of theExpand
  • 87
  • 6
Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data
We consider a reconstruction problem of the shape of an unknown open set D in a two-dimensional bounded domain from the Cauchy data on of a nonconstant solution u of the equation u = 0 in \ D. WeExpand
  • 109
  • 6
Reconstruction of inclusion from boundary measurements
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 exactExpand
  • 52
  • 6
  • PDF
Reconstruction of obstacle from boundary measurements
Abstract We give a reconstruction formula for the three-dimensional sound-soft/sound-hard obstacle by employing the surface data of the scattering solution generated by a point source.
  • 72
  • 6
Reconstruction of a source domain from the Cauchy data
We consider an inverse source problem for the Helmholtz equation in a bounded domain. The problem is to reconstruct the shape of the support of a source term from the Cauchy data on the boundary ofExpand
  • 45
  • 5
  • PDF
Reconstruction of the support function for inclusion from boundary measurements
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 theExpand
  • 108
  • 4
Uniqueness in Inverse Problems for the Isotropic Lame System
For isotropic Lame systems with variable coefficients, we discuss inverse problems of determining force terms or densities from a finite number of measurements of lateral boundary data.We establishExpand
  • 30
  • 4
  • PDF
Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements
We consider the 2D inverse conductivity problem for conductivities of the form γ = 1 + χDh defined in a bounded domain Ω⊂2 with C∞ boundary ∂Ω. Here D⊂Ω and hL∞(D) are such that γ has a jump alongExpand
  • 75
  • 3
  • PDF
A new formulation of the probe method and related problems
The probe method gives a general idea to obtain a reconstruction formula of unknown objects embedded in a known background medium from a mathematical counterpart (the Dirichlet-to-Neumann map) of theExpand
  • 28
  • 3
  • PDF