Detecting stochastic inclusions in electrical impedance tomography. (26th October 2017)

• Record Type: Journal Article
• Authors: Barth, Andrea; Harrach, Bastian; Hyvönen, Nuutti; Mustonen, Lauri
• Is Part Of: Inverse problems. Volume 33:Number 11(2017:Nov.)
• Publication Date: 2017-10-26
• Subjects: electrical impedance tomography -- stochastic conductivity -- inclusion detection -- factorization method -- monotonicity method; Inverse problems (Differential equations) -- Periodicals; 515.357
• DOI: 10.1088/1361-6420/aa8f5c
• Languages: English
• ISSNs: 0266-5611

Abstract

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.