{
  "id": "1505.06288",
  "version": "v1",
  "published": "2015-05-23T08:28:13.000Z",
  "updated": "2015-05-23T08:28:13.000Z",
  "title": "A Multilevel Correction Scheme for Nonsymmetric Eigenvalue Problems by Finite Element Methods",
  "authors": [
    "Hehu Xie",
    "Zhimin Zhang"
  ],
  "comment": "17 pages, 16 figures",
  "categories": [
    "math.NA"
  ],
  "abstract": "A multilevel correction scheme is proposed to solve nonsymmetric eigenvalue problems by the finite element method. The method includes multi correction steps in a sequence of finite element spaces. In each correction step, we only need to solve two source problems on a finer finite element space and two eigenvalue problems on the coarsest finite element space. The accuracy of the eigenpair approximation is improved after each correction step. This correction scheme improves overall efficiency of the finite element method in solving nonsymmetric eigenvalue problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-23T08:28:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30",
      "65N25",
      "65L15",
      "65B99"
    ],
    "keywords": [
      "finite element method",
      "nonsymmetric eigenvalue problems",
      "multilevel correction scheme",
      "coarsest finite element space",
      "finer finite element space"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150506288X"
    }
  }
}