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- W2783238760 abstract "One of the new modalities of quantitative imaging, Coupled Physics Electrical Conductivity Imaging (CPECI), utilizes interactions between the electric field injected into an object and electromagnetic fields exploited in Magnetic Resonance Imaging systems. Such coupling is capable of improving low resolution inherent to the traditional electrical impedance tomography. From a mathematical point of view, a mathematical model of CPECI is given by a boundary value problem for the weighted p-Laplace equation, which is nonlinear. The analysis of any CPECI model is a challenging problem, and the main issue is establishing the uniqueness and stability results. The lack of the global stability result motivates the numerical convergence study of computational algorithms for CPECI. In this paper, we present some results of this study utilizing a finite-difference approximation of a new mathematical model of CPECI and two iterative procedures, the Picard-like and Bregman iterations, for recovering the electrical conductivity from one measurement of the magnitude of current density field inside an object to be investigated. This work is a part of the long-term research project pursuing in collaboration with Prof. A. Nachman (University of Toronto, Canada) and Prof. A. Tamasan (University of Central Florida, USA)." @default.
- W2783238760 created "2018-01-26" @default.
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- W2783238760 date "2017-05-01" @default.
- W2783238760 modified "2023-09-26" @default.
- W2783238760 title "Numerical convergence study of some iterative algorithms for coupled physics electrical conductivity imaging" @default.
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- W2783238760 doi "https://doi.org/10.1109/piers.2017.8262368" @default.
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