{
  "abstract": "We propose and analyse a new numerical scheme for the approximation of the flow of time dependent viscoplastic fluids with general potentials. A major advantage of this scheme, based on the relaxation of the nonlinearity, is that it only requires the resolution of one linear system per timestep. Moreover it satisfies the balance of the conserved quantity, and it is proved to converge to the solution of the continuous problem. This behaviour is illustrated by the comparison of numerical solutions with analytical ones.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "François Bouchut"
    },
    {
      "name": "Robert Eymard"
    },
    {
      "name": "D Maltese"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/acqpw24t03fm3.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "acqpw24t03fm3",
  "issns": [
    "0272-4979",
    "1464-3642"
  ],
  "landing_url": "https://univ-eiffel.hal.science/hal-05693817v2",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://univ-eiffel.hal.science/hal-05693817/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": "Oxford University Press (OUP)",
  "ris": "https://research.draconitic.com/paper/acqpw24t03fm3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:33Z",
      "native_id": "hal-05693817",
      "source": "hal",
      "url": "https://univ-eiffel.hal.science/hal-05693817v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Convergence of a relaxation method for the approximation of time dependent viscoplastic flow",
  "title_text": "Convergence of a relaxation method for the approximation of time dependent viscoplastic flow",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:33Z",
  "url": "https://research.draconitic.com/paper/acqpw24t03fm3",
  "venue": "IMA Journal of Numerical Analysis",
  "versions": []
}