{
  "id": "1702.03745",
  "version": "v1",
  "published": "2017-02-13T12:42:37.000Z",
  "updated": "2017-02-13T12:42:37.000Z",
  "title": "Discrete approximation and regularisation for the inverse conductivity problem",
  "authors": [
    "Luca Rondi"
  ],
  "comment": "33 pages",
  "journal": "Rend. Istit. Mat. Univ. Trieste 48 (2016) 315-352",
  "doi": "10.13137/2464-8728/13162",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the inverse conductivity problem with discontinuous conductivities. We consider, simultaneously, a regularisation and a discretisation for a variational approach to solve the inverse problem. We show that, under suitable choices of the regularisation and discretisation parameters, the discrete regularised solutions converge, as the noise level on the measurements goes to zero, to the looked for solution of the inverse problem.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-13T12:42:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R30",
      "49J45",
      "65N21"
    ],
    "keywords": [
      "inverse conductivity problem",
      "discrete approximation",
      "regularisation",
      "inverse problem",
      "discrete regularised solutions converge"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}