{
  "id": "math/0611690",
  "version": "v1",
  "published": "2006-11-22T12:43:47.000Z",
  "updated": "2006-11-22T12:43:47.000Z",
  "title": "A family of C^0 finite elements for Kirchhoff plates I: Error analysis",
  "authors": [
    "L. Beirao da Veiga",
    "J. Niiranen",
    "R. Stenberg"
  ],
  "comment": "23 pages",
  "categories": [
    "math.NA"
  ],
  "abstract": "A new finite element formulation for the Kirchhoff plate model is presented. The method is a displacement formulation with the deflection and the rotation vector as unknowns and it is based on ideas stemming from a stabilized method for the Reissner--Mindlin model and a method to treat a free boundary. Optimal a-priori and a-posteriori error estimates are derived.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-22T12:43:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30",
      "74K20",
      "74S05"
    ],
    "keywords": [
      "error analysis",
      "kirchhoff plate model",
      "finite element formulation",
      "a-posteriori error estimates",
      "displacement formulation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11690B"
    }
  }
}