{
  "id": "1706.03962",
  "version": "v1",
  "published": "2017-06-13T09:15:40.000Z",
  "updated": "2017-06-13T09:15:40.000Z",
  "title": "Detecting stochastic inclusions in electrical impedance tomography",
  "authors": [
    "Andrea Barth",
    "Bastian Harrach",
    "Nuutti Hyvönen",
    "Lauri Mustonen"
  ],
  "comment": "16 pages, 5 figures",
  "categories": [
    "math.AP"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-13T09:15:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "35R60",
      "35J25"
    ],
    "keywords": [
      "electrical impedance tomography",
      "detecting stochastic inclusions",
      "inclusion detection problem",
      "factorization method",
      "spatial dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}