{
  "annotation_id": "a468abed-581a-4e7a-be7e-4cee2a403f07",
  "date_created": "2026-03-02T18:00:22.420000Z",
  "date_modified": "2026-03-02T18:00:22.420000Z",
  "file_hash": "0c3f9ce310b089d44e3a4846caffdd688cecddbc28f63e676e9e4b9899bc785e",
  "private": false,
  "record": {
    "abstract": "A finite element method using B-splines is presented and compared with a\nconventional finite element method of Lagrangian type. The efficiency of both\nmethods has been investigated at the example of a coupled non-linear system of\nDirac eigenvalue equations and inhomogeneous Klein-Gordon equations which\ndescribe a nuclear system in the framework of relativistic mean field theory.\nAlthough, FEM has been applied with great success in nuclear RMF recently, a\nwell known problem is the appearance of spurious solutions in the spectra of\nthe Dirac equation. The question, whether B-splines lead to a reduction of\nspurious solutions is analyzed. Numerical expenses, precision and behavior of\nconvergence are compared for both methods in view of their use in large scale\ncomputation on FEM grids with more dimensions. A B-spline version of the object\noriented C++ code for spherical nuclei has been used for this investigation.",
    "arxiv_id": "nucl-th/9808066",
    "authors": [
      "W. Poeschl"
    ],
    "categories": [
      "nucl-th",
      "physics.comp-ph"
    ],
    "doi": "10.1016/S0010-4655(98)00003-4",
    "journal_ref": "Comput.Phys.Commun. 109 (1997) 1-25",
    "title": "B-Spline Finite Elements and their Efficiency in Solving Relativistic   Mean Field Equations",
    "url": "https://arxiv.org/abs/nucl-th/9808066"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4fccbb59-574b-4ec3-88b8-d6a3022b29e6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}