{
  "id": "1311.3930",
  "version": "v1",
  "published": "2013-11-15T17:27:29.000Z",
  "updated": "2013-11-15T17:27:29.000Z",
  "title": "An adaptive finite element method for the infinity Laplacian",
  "authors": [
    "Omar Lakkis",
    "Tristan Pryer"
  ],
  "comment": "6 figures",
  "categories": [
    "math.NA",
    "math.AP",
    "nlin.AO"
  ],
  "abstract": "We construct a finite element method (FEM) for the infinity Laplacian. Solutions of this problem may be singular, which has prompted us to conduct an a posteriori analysis of the method deriving residual based estimators to drive an adaptive algorithm. It is numerically shown that the optimal convergence rates are regained upon using the adaptive procedure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-15T17:27:29.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30",
      "65N50"
    ],
    "keywords": [
      "adaptive finite element method",
      "infinity laplacian",
      "optimal convergence rates",
      "posteriori analysis",
      "method deriving residual"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.3930L"
    }
  }
}