Title page for E-project-012309-155131

Project Type MQP

Submission date 2009-01-23

Author
Chukwunomso Agunwamba, nomnso@WPI.EDU, MA

URN E-project-012309-155131

Title A computational basis for approximating the conductivity in electrical impedance tomography

Advisor
Sarkis-Martins, Marcus, MA

Availability restricted

Abstract
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.

Files
MQPReport.pdf
There is one file which has been withheld at the advisor's request.
indicates that a file or directory is accessible from the WPI campus network only.

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Project Type	MQP
Submission date	2009-01-23
Author	Chukwunomso Agunwamba, nomnso@WPI.EDU, MA
URN	E-project-012309-155131
Title	A computational basis for approximating the conductivity in electrical impedance tomography
Advisor	Sarkis-Martins, Marcus, MA
Availability	restricted
Abstract 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.
Files	MQPReport.pdf There is one file which has been withheld at the advisor's request. indicates that a file or directory is accessible from the WPI campus network only.