{
  "id": "0911.4769",
  "version": "v1",
  "published": "2009-11-25T07:05:12.000Z",
  "updated": "2009-11-25T07:05:12.000Z",
  "title": "Extraction method for Stokes Flow with jumps in the pressure",
  "authors": [
    "K. S. Chang",
    "D. Y. Kwak"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "In this paper, we consider a stationary, constant viscosity, incompressible Stokes flow with singular forces along one or several interfaces. Assuming only the jumps of the pressure are present along the interface, we develop a new numerical scheme for such a problem. By constructing an approximate singular function and removing it, we can apply a standard finite element method to solve it. A main advantage of our scheme is that one can use a uniform grid. We observe optimal $O(h)$ order for the pressure and $O(h^2)$ order for the velocity.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-11-25T07:05:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65Z05",
      "76D07"
    ],
    "keywords": [
      "extraction method",
      "standard finite element method",
      "approximate singular function",
      "incompressible stokes flow",
      "singular forces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0911.4769C"
    }
  }
}