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Presentation . 2016
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Model Reduction For Forward Solutions

Authors: Adler, Andy; Lionheart, William ;

Model Reduction For Forward Solutions

Abstract

EIT estimates the internal conductivity distribution from body surface electrodes via the solution of an inverse problem. Most approaches require solution of a forward problem based on a finite element model (FEM) of the medium of interest. For iterative solvers, the solution time is typically dominated by the time to solve the FEM (both for estimation of the measurements and the Jacobian) at each iteration. There is thus a strong incentive to develop techniques to reduce the solution time. To obtain accurate forward solutions, it is typically necessary to model a large region far away from the electrodes. This is most severe in geophysical or endoscopic EIT applications where the medium is effectively infinite. However, it is also true of traditional EIT applications where, for example, the chest extends above and below the electrode plane(s). In these extended regions, we do not actually need so solve for the internal voltages; we simply need to model the effect of the extended region on the ROI. This effect can be thought of in two ways: 1) the extended region’s effect can be represented by its Dirichlet to Neumann map, or 2) in a resistor model representation of the FEM, the extended region can be replaced by an equivalent N-port resistor mesh (with 0.5 × N × (N + 1) resistors) Objective: To implement the model reduction scheme and verify its accuracy and improved calculation time.

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Keywords

FEM, Schur compliment, EIT, resistor network, model reduction, region of interest, nusance parameters

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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