{
  "id": "2412.07118",
  "version": "v1",
  "published": "2024-12-10T02:18:21.000Z",
  "updated": "2024-12-10T02:18:21.000Z",
  "title": "Finite element spaces by Whitney k-forms on cubical meshes",
  "authors": [
    "Shuo Zhang"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "Finite element spaces by Whitney $k$-forms on cubical meshes in $\\mathbb{R}^n$ are presented. Based on the spaces, compatible discretizations to $H\\Lambda^k$ problems are provided, and discrete de Rham complexes and commutative diagrams are constructed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-12-10T02:18:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite element spaces",
      "cubical meshes",
      "whitney k-forms",
      "rham complexes",
      "compatible discretizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}