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Publications Influence

RECONSTRUCTION OF THE SHAPE OF THE INCLUSION BY BOUNDARY MEASUREMENTS

- Masaru Ikehata
- Mathematics
- 1998

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

- Masaru Ikehata
- Mathematics
- 1998

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 the… Expand

87 6

Enclosing a polygonal cavity in a two-dimensional bounded domain from Cauchy data

- Masaru Ikehata
- Mathematics
- 1 October 1999

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. We… Expand

109 6

Reconstruction of inclusion from boundary measurements

- Masaru Ikehata
- Mathematics
- 8 March 2018

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… Expand

52 6- PDF

Reconstruction of obstacle from boundary measurements

- Masaru Ikehata
- Mathematics
- 1 October 1999

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

- Masaru Ikehata
- Mathematics
- 1 April 1999

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 of… Expand

45 5- PDF

Reconstruction of the support function for inclusion from boundary measurements

- Masaru Ikehata
- Mathematics
- 2000

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… Expand

108 4

Uniqueness in Inverse Problems for the Isotropic Lame System

- Masaru Ikehata, G. Nakamura, Masahiro Yamamoto
- Mathematics
- 1998

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 establish… Expand

30 4- PDF

Numerical method for finding the convex hull of an inclusion in conductivity from boundary measurements

- Masaru Ikehata, S. Siltanen
- Mathematics
- 1 August 2000

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 along… Expand

75 3- PDF

A new formulation of the probe method and related problems

- Masaru Ikehata
- Mathematics
- 1 February 2005

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 the… Expand

28 3- PDF