Reconstruction of inclusion from boundary measurements

Abstract

We consider the problem of reconstructing of the boundary of an unknown inclusion together with its conductivity from the localized Dirichlet-to-Neumann map. We give an exact reconstruction procedure and apply the method to an inverse boundary value problem for the system of the equations in the theory of elasticity.

30pages

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• Integrating the probe and singular sources methods
• Inverse boundary spectral problem for Riemannian polyhedra
• Uniqueness in the inverse boundary value problem for piecewise homogeneous anisotropic elasticity
• Unique recovery of piecewise analytic density and stiffness tensor from the elastic-wave Dirichlet-to-Neumann map
• Reconstructing unknown inclusions for the biharmonic equation