Detecting stochastic inclusions in electrical impedance tomography

Research output: Contribution to journalArticleScientificpeer-review

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

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.

    Research areas

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

ID: 16783987