{
  "abstract": "We account for the skin effect in the Helmholtz transmission problem with dissipative permittivities and permeabilities. We derive approximate boundary transmission conditions of Ventcel type via a Taylor expansion in the characteristic size of the thin layer. We show the well-posedness of the resulting problems thanks to the study of saddle-point formulations. The theoretical results are illustrated through numerical simulations with finite elements.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Jason Tridon"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2cphqmycfa9rf.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "2cphqmycfa9rf",
  "issns": [],
  "landing_url": "https://univ-pau.hal.science/hal-05841302v1",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-mp"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://univ-pau.hal.science/hal-05841302/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2cphqmycfa9rf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:02Z",
      "native_id": "hal-05841302",
      "source": "hal",
      "url": "https://univ-pau.hal.science/hal-05841302v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-mp",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Helmholtz problem with a thin layer of variable thickness",
  "title_text": "Helmholtz problem with a thin layer of variable thickness",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:02Z",
  "url": "https://research.draconitic.com/paper/2cphqmycfa9rf",
  "venue": "HAL",
  "versions": []
}