{
  "annotation_id": "e71d6d40-9020-4f0c-9bcf-ef983ca544cf",
  "date_created": "2026-03-02T18:00:53.239000Z",
  "date_modified": "2026-03-02T18:00:53.239000Z",
  "file_hash": "3ffdf5e732786ef9c48b595081a125cefd5e40805e7ab1756b9bf22d1de542a8",
  "private": false,
  "record": {
    "abstract": "A discontinuous Galerkin method has been developed for strain\ngradient-dependent damage. The strength of this method lies in the fact that it\nallows the use of $C^0$ interpolation functions for continuum theories\ninvolving higher-order derivatives, while in a conventional framework at least\n$C^1$ interpolations are required. The discontinuous Galerkin formulation\nthereby offers significant potential for engineering computations with strain\ngradient-dependent models. When using basis functions with a low degree of\ncontinuity, jump conditions arise at element edges which are incorporated in\nthe weak form. In addition to the formulation itself, a detailed study of the\nconvergence properties of the method for various element types is presented, an\nerror analysis is undertaken, and the method is also shown to work in two\ndimensions.",
    "arxiv_id": "physics/0411022",
    "authors": [
      "L. Molari",
      "G. N. Wells",
      "K. Garikipati",
      "F. Ubertini"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.gen-ph"
    ],
    "title": "A discontinuous Galerkin method for strain gradient-dependent damage:   Study of interpolations, convergence and two dimensional problems",
    "url": "https://arxiv.org/abs/physics/0411022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "39dab215-1d6f-4497-adb7-264db448e6b9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}