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Bounds on the volume fractions of two materials in a three dimensional body from boundary measurements by the translation method
inverse problems size estimation electrical impedance tomography
2012/6/19
Using the translation method of Tartar, Murat, Lurie, and Cherkaev bounds are derived on the volume occupied by an inclusion in a three-dimensional conducting body. They assume electrical impedance to...
Identification of the coefficients in the linear Boltzmann equation by a finite number of boundary measurements
inverse problem linear Boltzmann equation albedo operator boundary measurements
2011/9/6
Abstract: In this paper we consider an inverse problem for the time dependent linear Boltzmann equation. It concerns the identification of the coefficients via a finite number of measurements on the b...
Determining electrical and heat transfer parameters using coupled boundary measurements
electrical impedance tomography heat transfer inverse problem
2011/1/21
Let ⊂ Rn, n ≥ 3, be a smooth bounded domain and consider a coupled system in consisting of a conductivity equation ∇ · (x)∇u(t, x) =0 and an anisotropic heat equation −1(x)@t...
Reconstructions from boundary measurements on admissible manifolds
Reconstructions from boundary measurements admissible manifolds
2010/11/9
We prove that a potential $q$ can be reconstructed from the Dirichlet-to-Neumann map for the Schrodinger operator $-\Delta_g + q$ in a fixed admissible 3-dimensional Riemannian manifold $(M,g)$. We a...