{
  "abstract": "We study a spherical perfectly matched layer (PML) method for the time-harmonic Maxwell scattering problem with large wavenumber. Using vector spherical harmonics and a modal transformation for the coupled transverse magnetic components, we establish the sharp wavenumber-explicit stability estimate for the truncated PML problem and prove that its inf-sup constant is of order $O(κ^{-1})$. We then analyze the first-order Nédélec edge element method and its continuous interior penalty counterpart. Under the condition that $κ^3h^2$ is sufficiently small, the preasymptotic errors in the energy norm and the $κ$-scaled $\\mathbf{L}^2$ norm are of orders $O(κh+κ^3h^2)$ and $O(κ^2h^2+κ^3h^2)$, respectively. Numerical experiments confirm the theoretical results.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19982",
  "author_total": 3,
  "authors": [
    {
      "name": "Jian Shi"
    },
    {
      "name": "Yonglin Li"
    },
    {
      "name": "Haijun Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fk99ek4be60dg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19982",
  "fulltext_url": null,
  "id": "fk99ek4be60dg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19982",
  "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",
      "2208|Electromagnetic Simulation and Numerical Methods"
    ]
  ],
  "openalex": "W7222223951",
  "pdf_url": "https://arxiv.org/pdf/2610.19982",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fk99ek4be60dg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.19982",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19982"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Spherical Perfectly Matched Layer Method for Electromagnetic Scattering Problems with Large Wave Number",
  "title_text": "Spherical Perfectly Matched Layer Method for Electromagnetic Scattering Problems with Large Wave Number",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/fk99ek4be60dg",
  "venue": "arXiv",
  "versions": []
}