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- W1629638017 abstract "The solution of inverse boundary problems are considered. One must determine the coefficients or functions of elliptic differential equations inside the domain Ω from a knowledge of boundary conditions (the Cauchy data) on the boundary ∂Ω. The algorithms for the numerical solution of such problems are presented. Inverse boundary problems occur in many branches of physics, in which one seeks to determine the internal properties of a medium by performing measurements along the boundary of the medium. A well- known example of such problems is the inverse conductivity problem also called electrical impedance tomography (EIT), which is a non-invasive imaging technique with widespread applications in medicine, industry and geophysics. In the medical imaging technique a pattern of current is applied to the surface ∂Ω of the body Ω and measurements of the resulting electric potential are made on ∂Ω. The EIT problem was first considered and mathematically formulated in generality by A.P. Calder ´" @default.
- W1629638017 created "2016-06-24" @default.
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- W1629638017 date "2006-12-22" @default.
- W1629638017 modified "2023-09-25" @default.
- W1629638017 title "Solution of elliptic inverse problems using integral equations" @default.
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- W1629638017 doi "https://doi.org/10.3233/jae-2006-777" @default.
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