{
  "id": "2009.12226",
  "version": "v1",
  "published": "2020-09-24T17:09:36.000Z",
  "updated": "2020-09-24T17:09:36.000Z",
  "title": "A stabilizer free WG Method for the Stokes Equations with order two superconvergence on polytopal mesh",
  "authors": [
    "Xiu Ye",
    "Shangyou Zhang"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2007.01161",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "A stabilizer free WG method is introduced for the Stokes equations with superconvergence on polytopal mesh in primary velocity-pressure formulation. Convergence rates two order higher than the optimal-order for velocity of the WG approximation is proved in both an energy norm and the $L^2$ norm. Optimal order error estimate for pressure in the $L^2$ norm is also established. The numerical examples cover low and high order approximations, and 2D and 3D cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-09-24T17:09:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N15",
      "65N30"
    ],
    "keywords": [
      "stabilizer free wg method",
      "stokes equations",
      "polytopal mesh",
      "superconvergence",
      "optimal order error estimate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}