{
  "id": "1810.10730",
  "version": "v1",
  "published": "2018-10-25T06:17:05.000Z",
  "updated": "2018-10-25T06:17:05.000Z",
  "title": "Online adaptive basis enrichment for mixed CEM-GMsFEM",
  "authors": [
    "Eric T. Chung",
    "Sai-Mang Pun"
  ],
  "comment": "17 pages, 2 figures",
  "categories": [
    "math.NA"
  ],
  "abstract": "In this paper, an online basis construction for constraint energy minimizing generalized multiscale finite element method (CEM-GMsFEM) in mixed formulation is proposed. The online approach is based on the strategy of oversampling and makes use of the information of residual and the parameters in the partial differential equation such as the source function. The analysis presented shows that the error reduction can be made sufficiently large by suitably selecting oversampling regions and the number of oversampling layers. We show that the convergence rate is also determined by a user-defined parameter. Numerical results are provided to illustrate the efficiency of the proposed method.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-25T06:17:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30"
    ],
    "keywords": [
      "online adaptive basis enrichment",
      "multiscale finite element method",
      "generalized multiscale finite element",
      "mixed cem-gmsfem",
      "minimizing generalized multiscale finite"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}