{
  "id": "1703.02726",
  "version": "v1",
  "published": "2017-03-08T06:50:18.000Z",
  "updated": "2017-03-08T06:50:18.000Z",
  "title": "Discontinuous Galerkin Isogeometric Analysis for The Biharmonic Equation",
  "authors": [
    "Stephen E. Moore"
  ],
  "comment": "19 pages",
  "categories": [
    "math.NA"
  ],
  "abstract": "We present and analyze an interior penalty discontinuous Galerkin Isogeometric Analysis (dG-IgA) method for the biharmonic equation in computational domain in $\\mathbb{R}^d$ with $d =2,3.$ The computational domain consist of several non-overlapping sub-domains or patches. We construct B-Spline approximation spaces which are discontinuous across patch interfaces. We present a priori error estimate in a discrete norm and numerical experiments to confirm the theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-08T06:50:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65N30"
    ],
    "keywords": [
      "biharmonic equation",
      "construct b-spline approximation spaces",
      "interior penalty discontinuous galerkin isogeometric",
      "penalty discontinuous galerkin isogeometric analysis",
      "computational domain consist"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}