{
  "abstract": "We determine field-of-values equivalent preconditioners for the time-dependent Stokes equations discretized in time by stage-weighted Radau IIA Runge--Kutta time-stepping and discontinuous Galerkin time-stepping methods. By weighing each stage of the Radau IIA Runge--Kutta method differently we obtain preconditioners that are field-of-values equivalent, with constants independent of viscosity, timestep, and mesh size, to the system matrix. Similarly, by using weighted inner products in time to define the discontinuous Galerkin time-stepping method, we again obtain field-of-values equivalent preconditioners for the resulting system matrix. Numerical experiments are performed in two and three-dimensions which demonstrate robustness of the proposed preconditioners.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.08429",
  "author_total": 3,
  "authors": [
    {
      "name": "Esteban Henríquez"
    },
    {
      "name": "Jeonghun J. Lee"
    },
    {
      "name": "Sander Rhebergen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e68bmgx2r65m0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08429",
  "fulltext_url": null,
  "id": "e68bmgx2r65m0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08429",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.08429",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e68bmgx2r65m0.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.08429",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08429"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Preconditioning for the time-dependent Stokes equations: stage-weighted Radau IIA and weighted discontinuous Galerkin time-stepping",
  "title_text": "Preconditioning for the time-dependent Stokes equations: stage-weighted Radau IIA and weighted discontinuous Galerkin time-stepping",
  "type": "preprint",
  "updated_at": "2026-11-07T18:20:21Z",
  "url": "https://research.draconitic.com/paper/e68bmgx2r65m0",
  "venue": "arXiv",
  "versions": []
}