{
  "abstract": "We propose a symmetric Nitsche method for the biharmonic Dirichlet problem on a smooth domain whose boundary may cut arbitrarily through the computational mesh. Bulk least-squares stabilization in a boundary strip and tangential boundary penalties control the consistency terms through an explicit lifting of the two Dirichlet traces. This gives coercivity on $H^4(Ω)$ without inverse inequalities and permits a fixed penalty independent of the cut configuration for sufficiently thin strips. Under suitable regularity assumptions, splines of degree $p\\geq4$ give energy and $L^2$ error bounds of orders $h^{p-1}$ and $h^{p+1}$. We also analyze a face-stabilized extension to $C^1$ splines of degree $p=2$ and $C^2$ splines of degree $p=3$. Exact-ellipse experiments examine convergence, cut stability, and parameter sensitivity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.11636",
  "author_total": 2,
  "authors": [
    {
      "name": "Mats G. Larson"
    },
    {
      "name": "Karl Larsson"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2n96c7h9kn747.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.11636",
  "fulltext_url": null,
  "id": "2n96c7h9kn747",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.11636",
  "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",
      "2206|Advanced Numerical Analysis Techniques"
    ]
  ],
  "openalex": "W7221146061",
  "pdf_url": "https://arxiv.org/pdf/2610.11636",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2n96c7h9kn747.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:58Z",
      "native_id": "2610.11636",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.11636"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "CutIGA with Least Squares Stabilized Nitsche Boundary Conditions: The Biharmonic Problem",
  "title_text": "CutIGA with Least Squares Stabilized Nitsche Boundary Conditions: The Biharmonic Problem",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/2n96c7h9kn747",
  "venue": "arXiv",
  "versions": []
}