{
  "id": "2212.04134",
  "version": "v1",
  "published": "2022-12-08T08:24:34.000Z",
  "updated": "2022-12-08T08:24:34.000Z",
  "title": "Interpolation Operators for parabolic Problems",
  "authors": [
    "Rob Stevenson",
    "Johannes Storn"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We introduce interpolation operators with approximation and stability properties suited for parabolic problems in primal and mixed formulations. We derive localized error estimates for tensor product meshes (occurring in classical time-marching schemes) as well as locally in space-time refined meshes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-08T08:24:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65D05",
      "65M12",
      "65M15",
      "65M60"
    ],
    "keywords": [
      "parabolic problems",
      "interpolation operators",
      "tensor product meshes",
      "stability properties",
      "space-time refined meshes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}