Open AccessStability of current density impedance imaging II
Author(s) -
Amir Moradifam,
Robert J. Lopez
Publication year - 2021
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2021142
Subject(s) - current (fluid) , current density , electrical impedance , stability (learning theory) , electrical impedance tomography , physics , work (physics) , boundary (topology) , mathematical analysis , nuclear magnetic resonance , computational physics , mathematics , computer science , quantum mechanics , thermodynamics , machine learning
This paper is a continuation of the authors earlier work on stability of Current Density Impedance Imaging (CDII) [R. Lopez, A. Moradifam, Stability of Current Density Impedance Imaging, SIAM J. Math. Anal. (2020).] We show that CDII is stable with respect to errors in both measurement of the magnitude of the current density vector field in the interior and the measurement of the voltage potential on the boundary. This completes the authors study of the stability of Current Density Independence Imaging which was previously shown only by numerical simulations.