{
  "abstract": "Hybrid analytical--finite-element methods support scan-resolved, part-scale thermal simulation of laser powder bed fusion, but their analytical evaluation cost grows as scan-line contributions accumulate. This work develops a space--time localized hybrid formulation that restricts where and how long each contribution is evaluated analytically. Residual terms and boundary conditions derived from the heat equation allow the finite-element correction to account for the thermal effect of contributions removed from the analytical field. The formulation is assessed using a single-line benchmark against an independent full finite-element solution and multiline comparisons with the conventional hybrid formulation. Localization limits the number of analytical contributions retained while maintaining close agreement with the conventional solution. A comparison with uncompensated temporal truncation demonstrates the importance of the residual correction in retaining the thermal effect of removed contributions. In the 500-line case, analytical and total simulation times are reduced by factors of approximately 25.5 and 3.92, respectively, with a relative nodal 2-norm difference of 0.139%.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33273",
  "author_total": 2,
  "authors": [
    {
      "name": "Mohammad Amin Mohammadi Golafshani"
    },
    {
      "name": "Krishnan Suresh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b1n74rw9qp2yq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33273",
  "fulltext_url": null,
  "id": "b1n74rw9qp2yq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33273",
  "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.AP"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.33273",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b1n74rw9qp2yq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33273",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33273"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    }
  ],
  "title": "Localized Hybrid Analytical-Finite-Element Thermal Modeling for Laser Powder Bed Fusion",
  "title_text": "Localized Hybrid Analytical-Finite-Element Thermal Modeling for Laser Powder Bed Fusion",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/b1n74rw9qp2yq",
  "venue": "arXiv",
  "versions": []
}