{
  "abstract": "This paper considers an inverse shape problem for recovering an unknown impenetrable clamped obstacle in two dimensions from near-field point source and dipole measurements for the biharmonic Helmholtz equation in the frequency domain. The measured data consist of the scattered field and its normal derivative on a closed measurement curve surrounding the obstacle. Since the associated near-field operator does not directly admit the symmetric factorization required by the factorization method, we introduce a far-field transformation. This transformation is defined independently of the obstacle and augments the near-field operator into the associated far-field operator which does admit a symmetric factorization. This yields a rigorous complete characterization of the obstacle by the factorization method theory and leads to a practical reconstruction algorithm based on the spectral data of the transformed operator. Numerical experiments are presented to demonstrate the effectiveness of the proposed method, with synthetic near-field data generated using the method of fundamental solutions. We also consider reconstructions using only scattered-field measurements generated by point sources, demonstrating the potential for reduced the amount of measured data.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.20528",
  "author_total": 2,
  "authors": [
    {
      "name": "General Ozochiawaeze"
    },
    {
      "name": "Isaac Harris"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3gypwkw5mavhg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.20528",
  "fulltext_url": null,
  "id": "3gypwkw5mavhg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.20528",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2610|Numerical methods in inverse problems"
    ]
  ],
  "openalex": "W7213581283",
  "pdf_url": "https://arxiv.org/pdf/2609.20528",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3gypwkw5mavhg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:19Z",
      "native_id": "2609.20528",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.20528"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Factorization method for a clamped obstacle from near-field measurements via a far-field transformation",
  "title_text": "Factorization method for a clamped obstacle from near-field measurements via a far-field transformation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/3gypwkw5mavhg",
  "venue": "arXiv",
  "versions": []
}