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Title: Application of stochastic Galerkin FEM to the complete electrode model of electrical impedance tomography

The aim of electrical impedance tomography is to determine the internal conductivity distribution of some physical body from boundary measurements of current and voltage. The most accurate forward model for impedance tomography is the complete electrode model, which consists of the conductivity equation coupled with boundary conditions that take into account the electrode shapes and the contact resistances at the corresponding interfaces. If the reconstruction task of impedance tomography is recast as a Bayesian inference problem, it is essential to be able to solve the complete electrode model forward problem with the conductivity and the contact resistances treated as a random field and random variables, respectively. In this work, we apply a stochastic Galerkin finite element method to the ensuing elliptic stochastic boundary value problem and compare the results with Monte Carlo simulations.
Authors:
; ;
Publication Date:
OSTI Identifier:
22314876
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Computational Physics; Journal Volume: 269; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY CONDITIONS; BOUNDARY-VALUE PROBLEMS; COMPARATIVE EVALUATIONS; COMPUTERIZED SIMULATION; ELECTRIC CONDUCTIVITY; ELECTRIC POTENTIAL; ELECTRODES; FINITE ELEMENT METHOD; IMPEDANCE; INTERFACES; MONTE CARLO METHOD; PARTIAL DIFFERENTIAL EQUATIONS; RANDOMNESS; STOCHASTIC PROCESSES; TOMOGRAPHY