{
  "id": "1209.5223",
  "version": "v2",
  "published": "2012-09-24T10:39:07.000Z",
  "updated": "2013-04-09T19:40:56.000Z",
  "title": "A simple preconditioner for a discontinuous Galerkin method for the Stokes problem",
  "authors": [
    "Blanca Ayuso de Dios",
    "Franco Brezzi",
    "L. Donatella Marini",
    "Jinchao Xu",
    "Ludmil Zikatanov"
  ],
  "comment": "27 pages, 4 figures",
  "categories": [
    "math.NA"
  ],
  "abstract": "In this paper we construct Discontinuous Galerkin approximations of the Stokes problem where the velocity field is H(div)-conforming. This implies that the velocity solution is divergence-free in the whole domain. This property can be exploited to design a simple and effective preconditioner for the final linear system.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-04-09T19:40:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30",
      "65N12",
      "65N22",
      "65F08",
      "76R50"
    ],
    "keywords": [
      "discontinuous galerkin method",
      "stokes problem",
      "simple preconditioner",
      "construct discontinuous galerkin approximations",
      "final linear system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.5223A"
    }
  }
}