{
  "id": "1301.5923",
  "version": "v3",
  "published": "2013-01-24T22:18:05.000Z",
  "updated": "2013-08-12T14:29:55.000Z",
  "title": "Verification of functional a posteriori error estimates for obstacle problem in 1D",
  "authors": [
    "Petr Harasim",
    "Jan Valdman"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "We verify functional a posteriori error estimate for obstacle problem proposed by Repin. Simpli?cation into 1D allows for the construction of a nonlinear benchmark for which an exact solution of the obstacle problem can be derived. Quality of a numerical approximation obtained by the ?nite element method is compared with the exact solution and the error of approximation is bounded from above by a majorant error estimate. The sharpness of the majorant error estimate is discussed.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-08-12T14:29:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "posteriori error estimate",
      "obstacle problem",
      "majorant error estimate",
      "functional",
      "verification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.5923H"
    }
  }
}