{
  "abstract": "We develop and analyze a locking-free virtual element method for the three-dimensional quasi-static electroporoelasticity equations. The pressure, electric, magnetic, and displacement fields are discretized by the lowest-order nodal, edge, face, and Stokes-like virtual element spaces, respectively, so that the scheme works on general polyhedral meshes, while the temporal discretization is carried out by a backward Euler scheme. The locking phenomenon is overcome by defining the Stokes-like space on a refined mesh $\\widetilde{\\mathcal{T}}_h$, on which we can construct an interpolation operator $\\mathrm{I}_s$ satisfying $÷(\\mathrm{I}_s\\bm v)|_K=Π^K_0÷\\bm v$, which renders the error estimates independent of the Lamé constant $λ$. Moreover, since the exact sequence $\\curl\\bm V^e_h=\\bm V^f_{h,0}$ holds, the magnetic field is updated explicitly, reducing the four-field system to a three-field one and lowering the computational cost. Numerical experiments are provided to demonstrate the performance of the proposed method.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09646",
  "author_total": 2,
  "authors": [
    {
      "name": "Jianguo Huang"
    },
    {
      "name": "Wenxuan Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/57hy07xabmsam.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09646",
  "fulltext_url": null,
  "id": "57hy07xabmsam",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09646",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2206|Advanced Numerical Methods in Computational Mathematics"
    ]
  ],
  "openalex": "W7220955504",
  "pdf_url": "https://arxiv.org/pdf/2610.09646",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/57hy07xabmsam.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2610.09646",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09646"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "A locking-free virtual element method for the three-dimensional quasi-static electroporoelasticity equations",
  "title_text": "A locking-free virtual element method for the three-dimensional quasi-static electroporoelasticity equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/57hy07xabmsam",
  "venue": "arXiv",
  "versions": []
}