{
  "id": "1908.08698",
  "version": "v1",
  "published": "2019-08-23T07:12:55.000Z",
  "updated": "2019-08-23T07:12:55.000Z",
  "title": "The Convergence Rate of MsFEM for Various Boundary Problems",
  "authors": [
    "Changqing Ye",
    "Junzhi Cui"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "In this paper, we give a detailed analysis of the effectiveness of classic multiscale finite element method (MsFEM) \\cite{Hou1997,Hou1999} for mixed Dirichlet-Neumann, Robin and hemivariational inequality boundary problems. the error estimations are expressed with characteristic variables of mesh and scale, and the results are shown with proper assumptions and proven rigorously.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-23T07:12:55.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "convergence rate",
      "classic multiscale finite element method",
      "hemivariational inequality boundary problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}