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Using the Hilbert uniqueness method in a reconstruction algorithm for electrical impedance tomography

Physiological Measurement, 1994
This paper presents a new version of the layer stripping algorithm in the sense that it works essentially by repeatedly stripping away the outermost layer of the medium after having determined the conductivity value in this layer. In order to stabilize the ill posed boundary value problem related to each layer, we base our algorithm on the Hilbert ...
J P Morucci
exaly   +3 more sources

Well-posedness of an inverse hyperbolic problem by the Hilbert uniqueness method

Journal of Inverse and Ill-Posed Problems, 1994
Let \(u(f)\) be the solution to the hyperbolic equation in a bounded domain \(\Omega \subset \mathbb{R}^ r\) \[ u'' (x,t)= \Delta u(x,t)+ \sigma (t) f(x), \qquad x\in \Omega, \quad ...
exaly   +3 more sources

A reconstruction algorithm for electrical impedance tomography using the hilbert uniqueness method

Proceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Societ, 2005
null Wei-Wen Dai   +2 more
openaire   +1 more source

Pathwise uniqueness for a class of SDE in Hilbert spaces and applications

Journal of Functional Analysis, 2010
F Flandoli, G da Prato
exaly  

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