Detecting stochastic inclusions in electrical impedance tomography

Research output: Contribution to journalArticleScientificpeer-review

Researchers

Research units

  • University of Stuttgart
  • Goethe University Frankfurt

Abstract

This work considers the inclusion detection problem of electrical impedance tomography with stochastic conductivities. It is shown that a conductivity anomaly with a random conductivity can be identified by applying the factorization method or the monotonicity method to the mean value of the corresponding Neumann-to-Dirichlet map provided that the anomaly has high enough contrast in the sense of expectation. The theoretical results are complemented by numerical examples in two spatial dimensions.

Details

Original languageEnglish
Article number115012
Pages (from-to)1-18
JournalInverse Problems
Volume33
Issue number11
Publication statusPublished - Oct 2017
MoE publication typeA1 Journal article-refereed

    Research areas

  • electrical impedance tomography, stochastic conductivity, inclusion detection, factorization method, monotonicity method

ID: 16783987