{
  "abstract": "Numerical investigations of dynamo action have remained active in fluid mechanics over the past decades, presenting numerous challenges and open problems. Meanwhile, the development of structure-preserving methods and finite element exterior calculus (FEEC) inspires a revisit of numerical dynamo studies and an exploration of existing open questions in computation. In this paper, we present a FEEC approach for dynamo problems. In particular, we investigate structure-preserving finite element schemes for computing the spectra and pseudospectra of advection-diffusion operators of differential forms. The schemes and their analysis are based on finite element de Rham complexes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01501",
  "author_total": 4,
  "authors": [
    {
      "name": "Daniele Boffi"
    },
    {
      "name": "Kaibo Hu"
    },
    {
      "name": "Yizhou Liang"
    },
    {
      "name": "Umberto Zerbinati"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/966cspha5vnhg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01501",
  "fulltext_url": null,
  "id": "966cspha5vnhg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.01501",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2206|Advanced Numerical Methods in Computational Mathematics"
    ]
  ],
  "openalex": "W7216349738",
  "pdf_url": "https://arxiv.org/pdf/2610.01501",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/966cspha5vnhg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2610.01501",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01501"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Finite element exterior calculus for spectra and pseudospectra of advection-diffusion of differential forms",
  "title_text": "Finite element exterior calculus for spectra and pseudospectra of advection-diffusion of differential forms",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/966cspha5vnhg",
  "venue": "arXiv",
  "versions": []
}