{
  "id": "0910.5863",
  "version": "v2",
  "published": "2009-10-30T12:56:58.000Z",
  "updated": "2011-02-28T16:34:31.000Z",
  "title": "Adaptive BDDC in Three Dimensions",
  "authors": [
    "Jan Mandel",
    "Bedřich Sousedík",
    "Jakub Šístek"
  ],
  "comment": "28 pages, 9 figures, 9 tables",
  "journal": "Math. Comput. Simulation, 82(10):1812-1831, 2012",
  "doi": "10.1016/j.matcom.2011.03.014",
  "categories": [
    "math.NA"
  ],
  "abstract": "The adaptive BDDC method is extended to the selection of face constraints in three dimensions. A new implementation of the BDDC method is presented based on a global formulation without an explicit coarse problem, with massive parallelism provided by a multifrontal solver. Constraints are implemented by a projection and sparsity of the projected operator is preserved by a generalized change of variables. The effectiveness of the method is illustrated on several engineering problems.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-28T16:34:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N55",
      "65F08",
      "G.1.3"
    ],
    "keywords": [
      "dimensions",
      "explicit coarse problem",
      "face constraints",
      "global formulation",
      "adaptive bddc method"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.5863M"
    }
  }
}