{
  "id": "1001.2344",
  "version": "v1",
  "published": "2010-01-14T01:26:43.000Z",
  "updated": "2010-01-14T01:26:43.000Z",
  "title": "Convergence of Adaptive Finite Element Approximations for Nonlinear Eigenvalue Problems",
  "authors": [
    "H. Chen",
    "X. Gong",
    "L. He",
    "A. Zhou"
  ],
  "comment": "24 pages, 12 figures",
  "categories": [
    "math.NA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, we study an adaptive finite element method for a class of a nonlinear eigenvalue problems that may be of nonconvex energy functional and consider its applications to quantum chemistry. We prove the convergence of adaptive finite element approximations and present several numerical examples of micro-structure of matter calculations that support our theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-14T01:26:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q55",
      "65N15",
      "65N25",
      "65N30",
      "81Q05"
    ],
    "keywords": [
      "adaptive finite element approximations",
      "nonlinear eigenvalue problems",
      "convergence",
      "adaptive finite element method",
      "nonconvex energy functional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.2344C"
    }
  }
}