Title
Reconstructing small perturbations in electrical admittivity at low frequencies
Abbreviated Journal Title
Inverse Probl.
Keywords
electrical impedance tomography; small perturbation; frequency; differential; INVERSE CONDUCTIVITY PROBLEM; BOUNDARY-VALUE PROBLEM; D-BAR METHOD; IMPEDANCE TOMOGRAPHY; GLOBAL UNIQUENESS; PLANE; FEASIBILITY; ALGORITHM; Mathematics, Applied; Physics, Mathematical
Abstract
We present a method to recover small perturbations from constants in electrical conductivity sigma and relative (to the air's) permittivity is an element of of a body, from electrical measurements at low frequencies at the boundary. The method is based on the asymptotic expansion of the frequency differential of the Neumann-to-Dirichlet map with respect to both frequency and perturbation size. To show its feasibility, we implement the method on two numerical experiments for a complete electrode model.
Journal Title
Inverse Problems
Volume
30
Issue/Number
3
Publication Date
1-1-2014
Document Type
Article
Language
English
First Page
18
WOS Identifier
ISSN
0266-5611
Recommended Citation
"Reconstructing small perturbations in electrical admittivity at low frequencies" (2014). Faculty Bibliography 2010s. 5575.
https://stars.library.ucf.edu/facultybib2010/5575
Comments
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