{
  "id": "1705.06880",
  "version": "v1",
  "published": "2017-05-19T07:44:57.000Z",
  "updated": "2017-05-19T07:44:57.000Z",
  "title": "A remark about Galerkin method",
  "authors": [
    "Nurlan Temirgaliyev"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "In this article was proved, that any linear equation $Lu=f$ in the case of any linear versions of the Galerkin method, has at least as many unsolved right-hand sides in the form of linear combinations $f=L\\psi_1 +...+L\\psi_N +L\\psi_{N+1} +...+L\\psi_{5N} +...+L\\psi_{T}$, as there are finite-dimensional linear subspaces with dimensionality as much than five times as the number of basis functions $\\psi_1,..., \\psi_N$ .",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-19T07:44:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65D99"
    ],
    "keywords": [
      "galerkin method",
      "finite-dimensional linear subspaces",
      "unsolved right-hand sides",
      "basis functions",
      "linear equation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}