# Reconstruction of inclusion from boundary measurements

@inproceedings{Ikehata2002ReconstructionOI, title={Reconstruction of inclusion from boundary measurements}, author={Masaru Ikehata}, year={2002} }

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.

## 55 Citations

Reconstruction of the support function for inclusion from boundary measurements

- Physics
- 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…

Reconstruction of inclusions for the inverse boundary value problem with mixed type boundary condition

- Mathematics
- 2003

We consider an inverse boundary value problem for identifying the inclusion inside a known anisotropic conductive medium. We give a reconstruction procedure for identifying the inclusion from the…

Reconstruction of Inclusions for the Inverse Boundary Value Problem of Non-stationary Heat Equation

- Mathematics
- 2008

An inverse problem for identifying an inclusion inside an isotropic, homogeneous heat conductive medium is considered. The shape of inclusion can change time dependently. For the one space…

Reconstruction of Inclusions for the Inverse Boundary Value Problem with Mixed Type Boundary Condition and Source Term

- Mathematics
- 2003

We considered identifying the shape of an unknown inclusion inside an anisotropic conductive medium. The assumption for the regularity of the background conductivity is that which guarantees the weak…

Reconstruction of inclusions in an elastic body

- Mathematics
- 2009

We consider the reconstruction of elastic inclusions embedded inside of a planar region, bounded or unbounded, with isotropic inhomogeneous elastic parameters by measuring displacements and tractions…

Reconstruction Formula for Identifying Cracks

- Mathematics
- 2003

We consider an inverse boundary value problem for identifying cracks in a conductive medium. By combining the probe method and an analysis for the behavior of the “reflected solution”, we derive a…

Reconstruction of cracks in an inhomogeneous anisotropic medium using point sources

- Mathematics, Computer ScienceAdv. Appl. Math.
- 2005

This work considers the inverse problem, in two and three dimensions, of identifying elastic cracks embedded in an inhomogeneous anisotropic elastic medium using point sources and gives a reconstruction algorithm for this inverse problem.

Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain

- Mathematics
- 2019

We consider the inverse boundary value problem of recovering piecewise homogeneous elastic tensor and piecewise homogeneous mass density from a localized lateral Dirichlet-to-Neumann or…

A probe method for the inverse boundary value problem of non-stationary heat equations

- Mathematics
- 2007

An inverse problem for identifying an inclusion inside an isotropic homogeneous heat conductive medium is considered. The shape of the inclusion may vary depending on time. For the one space…

Stable Determination of an Inclusion in an Elastic Body by Boundary Measurements

- Physics, MathematicsSIAM J. Math. Anal.
- 2014

This work considers the inverse problem of identifying an unknown inclusion contained in an elastic body by the Dirichlet-to-Neumann map and establishes a logarithmic stability estimate.

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