On an inverse boundary value problem
TLDR
A. P. Calderon as discussed by the authors published by the Brazilian Mathematical Society (SBM) in ATAS of SBM (Rio de Janeiro), pp. 65-73, 1980.Abstract:
This paper is a reprint of the original work by A. P. Calderon published by the Brazilian Mathematical Society (SBM) in ATAS of SBM (Rio de Janeiro), pp. 65-73, 1980. The original paper had no abstract, so this reprint to be truthful to the original work is published with no abstract.read more
Citations
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Journal ArticleDOI
Overview of Identification Methods of Mechanical Parameters Based on Full-field Measurements
Stéphane Avril,Marc Bonnet,Anne Sophie Bretelle,Michel Grédiac,François Hild,Patrick Ienny,Felix Latourte,Didier Lemosse,Stéphane Pagano,Emmanuel Pagnacco,Fabrice Pierron +10 more
TL;DR: In this article, the authors present several methods for constitutive parameter identification based on kinematic full-field measurements, namely the finite element model updating method (FEMU), the constitutive equation gap method (CEGM), the virtual fields method (VFM), the EGM, the equilibrium gap method, and the reciprocity gap method.
Journal ArticleDOI
Calderon's inverse conductivity problem in the plane
Kari Astala,Lassi Päivärinta +1 more
TL;DR: In this paper, it was shown that the Dirichlet to Neumann map for the equation ∇·σ∇u = 0 in a two-dimensional domain uniquely determines the bounded measurable constant.
Journal ArticleDOI
Chest electrical impedance tomography examination, data analysis, terminology, clinical use and recommendations: consensus statement of the TRanslational EIT developmeNt stuDy group
Inéz Frerichs,Marcelo B. P. Amato,Anton H. van Kaam,David G. Tingay,Zhanqi Zhao,Bartłomiej Grychtol,Marc Bodenstein,Hervé Gagnon,Stephan H. Bohm,Eckhard Teschner,Ola Stenqvist,Tommaso Mauri,Vinicius Torsani,Luigi Camporota,Andreas Schibler,Gerhard K. Wolf,Diederik Gommers,Steffen Leonhardt,Andy Adler,Eddy Fan,William R. B. Lionheart,Thomas Riedel,Peter C. Rimensberger,Fernando Suarez Sipmann,Norbert Weiler,Hermann Wrigge +25 more
TL;DR: A new classification of core processes involved in chest EIT examinations and data analysis is provided, and a structured framework to categorise and understand the relationships among analysis approaches and their clinical roles is provided.
Journal ArticleDOI
Electrical impedance tomography and Calderón's problem
TL;DR: In this paper, the authors survey mathematical developments in the inverse method of electrical impedance tomography which consists in determining the electrical properties of a medium by making voltage and current measurements at the boundary of the medium.
Journal ArticleDOI
The Calderón problem with partial data
TL;DR: In this paper, it was shown that the knowledge of the Cauchy data for the Schr?Nodinger equation measured on possibly very small subsets of the boundary determines uniquely the potential.
References
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Determining Unknown Coefficients in a Nonlinear Heat Conduction Problem
John R. Cannon,Paul DuChateau +1 more
TL;DR: In this paper, the authors considered the problem of determining the positive unknown functions in the nonlinear diffusion equation and provided a unique solution for the special case when there exists a constant √ kappa > 0.
Journal ArticleDOI
Determination of an unknown coefficient in a parabolic differential equation
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