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

Journal Article · Tue Jul 15 00:00:00 EDT 2014 · Journal of Computational Physics

DOI:https://doi.org/10.1016/J.JCP.2014.03.011· OSTI ID:22314876

Hakula, Harri; Hyvönen, Nuutti

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.

• OSTI ID: 22314876
• Journal Information: Journal of Computational Physics, Vol. 269; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

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