{
  "id": "2301.02582",
  "version": "v1",
  "published": "2023-01-06T16:20:17.000Z",
  "updated": "2023-01-06T16:20:17.000Z",
  "title": "Immersed Boundary Method for the Complete Electrode Model in Electrical Impedance Tomography",
  "authors": [
    "Jérémi Dardé",
    "Niami Nasr",
    "Lisl Weynans"
  ],
  "categories": [
    "math.NA",
    "cs.NA",
    "math.AP"
  ],
  "abstract": "We propose an immersed boundary scheme for the numerical resolution of the Complete Electrode Model in Electrical Impedance Tomography, that we use as a main ingredient in the resolution of inverse problems in medical imaging. Such method allows to use a Cartesian mesh without accurate discretization of the boundary, which is useful in situations where the boundary is complicated and/or changing. We prove the convergence of our method, and illustrate its efficiency with two dimensional direct and inverse problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-06T16:20:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N21",
      "65N25",
      "65N85",
      "35R30"
    ],
    "keywords": [
      "complete electrode model",
      "electrical impedance tomography",
      "immersed boundary method",
      "inverse problems",
      "resolution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}