{
  "id": "1805.00832",
  "version": "v1",
  "published": "2018-05-02T14:10:45.000Z",
  "updated": "2018-05-02T14:10:45.000Z",
  "title": "Time-discretization of stochastic 2-D Navier--Stokes equations with a penalty-projection method",
  "authors": [
    "Erika Hausenblas",
    "Tsiry Randrianasolo"
  ],
  "categories": [
    "math.NA",
    "math.PR"
  ],
  "abstract": "A time-discretization of the stochastic incompressible Navier--Stokes problem by penalty method is analyzed. Some error estimates are derived, combined, and eventually arrive at a speed of convergence in probability of order 1/4 of the main algorithm for the pair of variables velocity and pressure. Also, using the law of total probability, we obtain the strong convergence of the scheme for both variables.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-02T14:10:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65J15",
      "60H35"
    ],
    "keywords": [
      "navier-stokes equations",
      "penalty-projection method",
      "time-discretization",
      "stochastic incompressible navier-stokes problem",
      "penalty method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}