Numerical implementation of a variational method for electrical impedance tomography

R. V. Kohn, A. McKenney

Research output: Contribution to journalArticlepeer-review

Abstract

A variational method for computing electrical conductivity distributions from boundary measurements was proposed by Kohn and Vogelius (1987). The authors explore the numerical performance of that technique. A version of Newton's method is used for the minimisation, and synthetic data for the boundary measurements. The variational method is found to be generally stable and robust, reproducing the locations and shapes of conducting objects well, provided that smooth boundary data are used. Early termination appears to have a desirable smoothing effect upon the reconstruction. Contrary to the suggestion of Kohn and Vogelius, the method is not enhanced by allowing the conductivity to be anisotropic.

Original languageEnglish (US)
Article number009
Pages (from-to)389-414
Number of pages26
JournalInverse Problems
Volume6
Issue number3
DOIs
StatePublished - 1990

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

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