Numerical methods of electrical impedance tomography

Authors
Muller, Peter
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Other Contributors
Isaacson, David
Saulnier, Gary J.
Newell, Jonathan C.
Schwendeman, Donald W.
Holmes, Mark H.
Issue Date
2014-08
Keywords
Mathematics
Degree
PhD
Terms of Use
This electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
Full Citation
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
Department
Dept. of Mathematical Sciences
Publisher
Rensselaer Polytechnic Institute, Troy, NY
Relationships
Rensselaer Theses and Dissertations Online Collection
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