{
  "abstract": "In this paper,we consider a stable numerical method for the Stokes-Biot model. We adopt the standard formulation of the Stokes equations coupled with the mixed formulation of the Biot system involving the additional total pressure variable. We construct the semi-discrete scheme on polygonal meshes by employing weak Galerkin finite element methods for spatial discretization. It is convenient to incorporate the interface conditions into the semi-discrete scheme via the edge-based degrees of freedom. Furthermore, we give a fully discrete scheme based on the backward Euler method. We establish the well-posedness of these two schemes and provide a rigorous error analysis. Finally, we present some numerical examples to verify the convergence and stability of our algorithm under a wide range of some physical parameters.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06335",
  "author_total": 3,
  "authors": [
    {
      "name": "Rui Li"
    },
    {
      "name": "Hui Peng"
    },
    {
      "name": "Xiuli Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c8x0bg3em8w8d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06335",
  "fulltext_url": null,
  "id": "c8x0bg3em8w8d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06335",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06335",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c8x0bg3em8w8d.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06335",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06335"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "A weak Galerkin finite element method for the coupled Stokess-Biot problem",
  "title_text": "A weak Galerkin finite element method for the coupled Stokess-Biot problem",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/c8x0bg3em8w8d",
  "venue": "arXiv",
  "versions": []
}