{
  "abstract": "In this paper, a novel dual-field structure-preserving mixed finite element discretization for the incompressible Hall magnetohydrodynamics (MHD) equations is introduced. It preserves pointwise mass conservation, magnetic Gauss law, and conservation of current density. It also satisfies a discrete energy law that exactly captures the correct energy dissipation rate in the dissipative regime and recovers energy conservation in the ideal limit. Numerical experiments are presented to verify the temporal and spatial accuracy and to illustrate the structure-preserving properties of the scheme.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.19920",
  "author_total": 1,
  "authors": [
    {
      "name": "Yi Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ed0bxe8bt01em.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.19920",
  "fulltext_url": null,
  "id": "ed0bxe8bt01em",
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  "landing_url": "https://arxiv.org/abs/2605.19920",
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      "2206|Advanced Numerical Methods in Computational Mathematics"
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  "openalex": "W7161890445",
  "pdf_url": "https://arxiv.org/pdf/2605.19920",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-31",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ed0bxe8bt01em.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:58Z",
      "native_id": "2605.19920",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.19920"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "A dual-field structure-preserving mixed finite element discretization for incompressible Hall MHD equations",
  "title_text": "A dual-field structure-preserving mixed finite element discretization for incompressible Hall MHD equations",
  "type": "preprint",
  "updated_at": "2026-11-04T15:21:04Z",
  "url": "https://research.draconitic.com/paper/ed0bxe8bt01em",
  "venue": "arXiv",
  "versions": []
}