{
  "annotation_id": "040b50f2-2c34-492d-8919-e1c1ff81e8e6",
  "date_created": "2026-03-02T18:01:21.511000Z",
  "date_modified": "2026-03-02T18:01:21.511000Z",
  "file_hash": "435be98f4cf2bfb9f2113b4720631fd953d8253cb0a6fcd6b2fb56ba49e75501",
  "private": false,
  "record": {
    "abstract": "A method for performing high order mesh refinement multigrid computations is\npresented. The Full Approximation Scheme (FAS) multigrid technique is utilized\nfor a sequence of nested patches of increasing resolution. Conservation forms\nare generated on coarse scales by additional defect correction terms which\ncounter the local excess fluxes at the boundaries. Formulas are given for\narbitrary order, extending the existing technique of Bai and Brandt. Test\ncalculations are presented for a singular source in three dimensions which\nillustrate the multigrid convergence properties, numerical accuracy, and\ncorrect order of the approach. Applications for all electron quantum chemical\ncomputations are discussed.",
    "arxiv_id": "physics/9805025",
    "authors": [
      "Thomas L. Beck"
    ],
    "categories": [
      "physics.chem-ph"
    ],
    "title": "Multigrid High Order Mesh Refinement Techniques",
    "url": "https://arxiv.org/abs/physics/9805025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "61ccf3cf-dd20-4dfb-9730-b1d647131722",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}