Student Work

A computational basis for approximating the conductivity in electrical impedance tomography

Public

Downloadable Content

open in viewer

This project is concerned with the mathematical reconstruction problem of identifying the unknown conductivity (diffusion) coefficient in an elliptic equation, given full or partial measurements of the Dirichlet to Neumann map on the boundary. This is a nonlinear problem. The potential is calculated by extending the boundary data into the domain. A basis using sinusoids in the angular direction and polynomials in the radial direction is used to for expressing the extensions. The inner products of the gradients of the harmonic basis functions then act as the basis set for expanding the conductivity. The numerical tests of convergence in the expansion is studied as the number of basis functions is increased, for the problem on the unit disk in two dimensions.

  • This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.
Creator
Publisher
Identifier
  • E-project-012309-155131
Advisor
Year
  • 2009
Date created
  • 2009-01-23
Resource type
Major
Rights statement

Relations

In Collection:

Items

Items

Permanent link to this page: https://digital.wpi.edu/show/f1881n67x