{
  "id": "1803.04366",
  "version": "v1",
  "published": "2018-03-12T16:45:16.000Z",
  "updated": "2018-03-12T16:45:16.000Z",
  "title": "On pressure estimates for the Navier-Stokes equations",
  "authors": [
    "J. A. Fiordilino"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "This paper presents a simple, general technique to prove finite element method (FEM) pressure stability and convergence. Typically, pressure estimates are ignored in the literature. However, full reliability of a numerical method is not established unless the solution pair $(u,p)$ is treated. The simplicity of the proposed technique puts pressure estimates within reach of many existing and future numerical methods and lends itself to the numerical analyst's toolbox.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-03-12T16:45:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M12",
      "65M60",
      "76D05"
    ],
    "keywords": [
      "pressure estimates",
      "navier-stokes equations",
      "finite element method",
      "numerical method",
      "general technique"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}