{
  "id": "2302.00898",
  "version": "v1",
  "published": "2023-02-02T06:11:04.000Z",
  "updated": "2023-02-02T06:11:04.000Z",
  "title": "Reduced basis approximation of parametric eigenvalue problems in presence of clusters and intersections",
  "authors": [
    "Daniele Boffi",
    "Abdul Halim",
    "Gopal Priyadarshi"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "In this paper we discuss reduced order models for the approximation of parametric eigenvalue problems. In particular, we are interested in the presence of intersections or clusters of eigenvalues. The singularities originating by these phenomena make it hard a straightforward generalization of well known strategies normally used for standards PDEs. We investigate how the known results extend (or not) to higher order frequencies.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-02-02T06:11:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parametric eigenvalue problems",
      "reduced basis approximation",
      "intersections",
      "higher order frequencies",
      "reduced order models"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}