{
  "id": "2303.07268",
  "version": "v2",
  "published": "2023-03-13T16:45:25.000Z",
  "updated": "2023-03-17T14:28:25.000Z",
  "title": "An unconditionally stable space-time isogeometric method for the acoustic wave equation",
  "authors": [
    "Sara Fraschini",
    "Gabriele Loli",
    "Andrea Moiola",
    "Giancarlo Sangalli"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "In this paper, we focus on high-order space-time isogeometric discretizations of the linear acoustic wave equation. We deal with smooth approximations in both space and time by employing high-order B-splines of general degree $p$. By exploiting a suitably defined perturbation of order $2p$, we devise a high-order unconditionally stable space-time isogeometric method given by a non-consistent isogeometric formulation. To illustrate the effectiveness of this stabilized isogeometric method, we perform several numerical experiments.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-03-17T14:28:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unconditionally stable space-time isogeometric method",
      "linear acoustic wave equation",
      "high-order space-time isogeometric discretizations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}