Numerical methods of electrical impedance tomography
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Authors
Muller, Peter
Issue Date
2014-08
Type
Electronic thesis
Thesis
Thesis
Language
ENG
Keywords
Mathematics
Alternative Title
Abstract
The second reconstruction algorithm this thesis considers is the D-bar method. The D-bar method solves the full non-linear inverse problem. This method relies on solving for the complex geometrical optics (CGO) solutions to Schrödinger equation. To compute these CGO solutions, the D-bar equation must be solved numerically. This thesis introduces and analyzes a simple, easy-to-use finite difference solver for the D-bar equation. This solver is proven to be convergent with second-order accuracy. The D-bar method via this finite difference solver is then compared to Calderón's method.
Description
August 2014
School of Science
School of Science
Full Citation
Publisher
Rensselaer Polytechnic Institute, Troy, NY