{
  "id": "1905.05541",
  "version": "v1",
  "published": "2019-05-14T12:10:37.000Z",
  "updated": "2019-05-14T12:10:37.000Z",
  "title": "Numerical Analysis of a Contact Problem with Wear",
  "authors": [
    "Danfu Han",
    "Weimin Han",
    "Michal Jureczka",
    "Anna Ochal"
  ],
  "comment": "13 pages, 6 figures",
  "categories": [
    "math.NA"
  ],
  "abstract": "This paper represents a sequel to the previous one, where numerical solution of a quasistatic contact problem is considered for an elastic body in frictional contact with a moving foundation. The model takes into account wear of the contact surface of the body caused by the friction. Some preliminary error analysis for a fully discrete approximation of the contact problem was provided in the previous paper. In this paper, we consider a more general fully discrete numerical scheme for the contact problem, derive optimal order error bounds and present computer simulation results showing that the numerical convergence orders match the theoretical predictions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-14T12:10:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q74",
      "49J40",
      "65K10",
      "65M60",
      "74S05",
      "74M15",
      "74M10",
      "74G15"
    ],
    "keywords": [
      "numerical analysis",
      "derive optimal order error bounds",
      "general fully discrete numerical scheme",
      "computer simulation results",
      "quasistatic contact problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}