{
  "id": "1405.3741",
  "version": "v2",
  "published": "2014-05-15T04:57:50.000Z",
  "updated": "2014-05-16T05:43:14.000Z",
  "title": "The nonconforming virtual element method",
  "authors": [
    "B. Ayuso de Dios",
    "K. Lipnikov",
    "G. Manzini"
  ],
  "comment": "22 pages, 20 figures",
  "categories": [
    "math.NA"
  ],
  "abstract": "We introduce the nonconforming Virtual Element Method (VEM) for the approximation of second order elliptic problems. We present the construction of the new element in two and three dimensions, highlighting the main differences with the conforming VEM and the classical nonconforming finite element methods. We provide the error analysis and establish the equivalence with a family of mimetic finite difference methods.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-05-16T05:43:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30",
      "65N12",
      "65G99"
    ],
    "keywords": [
      "nonconforming virtual element method",
      "mimetic finite difference methods",
      "second order elliptic problems",
      "classical nonconforming finite element methods",
      "error analysis"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.3741A"
    }
  }
}