{
  "annotation_id": "df62e30a-b3ae-460d-8fb0-9c93c8dfa095",
  "date_created": "2026-03-02T18:00:46.088000Z",
  "date_modified": "2026-03-02T18:00:46.088000Z",
  "file_hash": "e759856a9cf3872c2410bfaa4f6a2a008e08d50ec58e0a5290cadf9472bd54a1",
  "private": false,
  "record": {
    "abstract": "We study the propagation of waves across fixed mesh refinement boundaries in\nlinear and nonlinear model equations in 1--D and 2--D, and in the 3--D Einstein\nequations of general relativity. We demonstrate that using linear interpolation\nto set the data in guard cells leads to the production of reflected waves at\nthe refinement boundaries. Implementing quadratic interpolation to fill the\nguard cells suppresses these spurious signals.",
    "arxiv_id": "physics/0307036",
    "authors": [
      "Dae-Il Choi",
      "J. David Brown",
      "Breno Imbiriba",
      "Joan Centrella",
      "Peter MacNeice"
    ],
    "categories": [
      "physics.comp-ph",
      "gr-qc"
    ],
    "doi": "10.1016/j.jcp.2003.07.036",
    "journal_ref": "J.Comput.Phys. 193 (2004) 398-425",
    "title": "Interface Conditions for Wave Propagation Through Mesh Refinement   Boundaries",
    "url": "https://arxiv.org/abs/physics/0307036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e76b7870-5fe2-4fa9-a272-4f5e26b25290",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}