{
  "id": "2109.02553",
  "version": "v1",
  "published": "2021-09-06T15:42:17.000Z",
  "updated": "2021-09-06T15:42:17.000Z",
  "title": "Broken-FEEC approximations of Hodge Laplace problems",
  "authors": [
    "Martin Campos-Pinto",
    "Yaman Güçlü"
  ],
  "comment": "24 pages, 3 figures",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "In this article we study nonconforming discretizations of Hilbert complexes that involve broken spaces and projection operators to structure-preserving conforming discretizations. Under the usual assumptions for the underlying conforming subcomplexes, as well as stability and moment-preserving properties for the conforming projection operators, we establish the convergence of the resulting nonconforming discretizations of Hodge-Laplace source and eigenvalue problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-06T15:42:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30",
      "58A14",
      "65N12"
    ],
    "keywords": [
      "hodge laplace problems",
      "broken-feec approximations",
      "hilbert complexes",
      "broken spaces",
      "eigenvalue problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}