{
  "id": "1012.4982",
  "version": "v1",
  "published": "2010-12-22T14:13:36.000Z",
  "updated": "2010-12-22T14:13:36.000Z",
  "title": "On a finite element approximation of the Stokes problem under leak or slip boundary conditions of friction type",
  "authors": [
    "Takahito Kashiwabara"
  ],
  "comment": "33 pages",
  "categories": [
    "math.NA"
  ],
  "abstract": "A finite element approximation of the Stokes equations under a certain nonlinear boundary condition, namely, the slip or leak boundary condition of friction type, is considered. We propose an approximate problem formulated by a variational inequality, prove an existence and uniqueness result, present an error estimate, and discuss a numerical realization using an iterative Uzawa-type method. Several numerical examples are provided to support our theoretical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-22T14:13:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30",
      "35Q30",
      "35J87"
    ],
    "keywords": [
      "finite element approximation",
      "slip boundary conditions",
      "friction type",
      "stokes problem",
      "leak boundary condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.4982K"
    }
  }
}