{
  "abstract": "We prove Sobolev space well-posedness of the decoupled potential integral equations. Using basic pseudo-differential techniques, discrete stability is obtained for the standard $L^2$-pairing, and we deduce spectral convergence for high-order schemes employing discontinuous basis functions, or with additional element-wise tangential continuity imposed in the vectorial part of the system. The schemes are shown to be much better conditioned than a mature commercial EFIE/CFIE solver. In many cases appearing almost independent of wavenumber, mesh density, and the order.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.10799",
  "author_total": 1,
  "authors": [
    {
      "name": "David Scott Winterrose"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8rvgxkf0aazt8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.10799",
  "fulltext_url": null,
  "id": "8rvgxkf0aazt8",
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  "landing_url": "https://arxiv.org/abs/2608.10799",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
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      "arxiv",
      "math.NA"
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      "openalex",
      "3107|Electromagnetic Scattering and Analysis"
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  "openalex": "W7211903459",
  "pdf_url": "https://arxiv.org/pdf/2608.10799",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8rvgxkf0aazt8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2608.10799",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.10799"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "High-order $L^2$-Galerkin schemes for the decoupled potential integral equations",
  "title_text": "High-order L^2-Galerkin schemes for the decoupled potential integral equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/8rvgxkf0aazt8",
  "venue": "arXiv",
  "versions": []
}