{
  "id": "1404.5560",
  "version": "v2",
  "published": "2014-04-22T17:10:03.000Z",
  "updated": "2014-11-10T14:23:30.000Z",
  "title": "A posteriori error analysis for nonconforming approximation of multiple eigenvalues",
  "authors": [
    "Daniele Boffi",
    "Ricardo G. Durán",
    "Francesca Gardini",
    "Lucia Gastaldi"
  ],
  "comment": "25 pages, 12 figures. Dedicated to Prof. Martin Costabel on the occasion of his 65th anniversary. Revised version based on referees' comment on the original manuscript",
  "categories": [
    "math.NA"
  ],
  "abstract": "In this paper we study an a posteriori error indicator introduced in E. Dari, R.G. Duran, C. Padra, Appl. Numer. Math., 2012, for the approximation of the Laplace eigenvalue problem with Crouzeix-Raviart non-conforming finite elements. In particular, we show that the estimator is robust also in presence of eigenvalues of multiplicity greater than one. Some numerical examples confirm the theory and illustrate the convergence of an adaptive algorithm when dealing with multiple eigenvalues.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-22T17:10:03.000Z",
      "abstract": "In this paper we study an a posteriori error indicator introduced in E. Dari, R.G. Duran, C. Padra, Appl. Numer. Math., 2012, for the approximation of Laplace eigenvalue problem with Crouzeix-Raviart non-conforming finite elements. In particular, we show that the estimator is robust also in presence of eigenvalues of multiplicity greater than one. Some numerical examples confirm the theory and discuss the convergence of an adaptive algorithm when dealing with multiple eigenvalues.",
      "comment": "25 pages, 11 figures. Dedicated to Prof. Martin Costabel on the occasion of his 65th anniversary",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-10T14:23:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N25",
      "65N30"
    ],
    "keywords": [
      "posteriori error analysis",
      "multiple eigenvalues",
      "nonconforming approximation",
      "crouzeix-raviart non-conforming finite elements",
      "posteriori error indicator"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.5560B"
    }
  }
}