{
  "abstract": "We investigate the use of the local Multiple Trace Formulation (MTF) in solving time-harmonic elastic wave transmission problems. Originally devised for heterogeneous acoustic media, MTF recasts the boundary value problem as a well-posed system of first-kind boundary integral equations, naturally amenable to parallelization and preconditioning. The formulation takes independent displacement and traction unknowns per subdomain, enforces Calderón identities locally, and imposes transmission conditions weakly across interfaces. We restrict our analysis to single homogeneous scatterers, representing a foundational step toward the application of MTF techniques in heterogeneous elasticity transmission problems. For the sake of clarity, all derivations in the one-dimensional setting are carried out explicitly, with illustrative examples provided in two dimensions. We analyze the effects of frequency and material contrast on the convergence of the GMRES iterative solver. Finally, we present preliminary results for an elastic Calderón preconditioner and discuss its potential to further accelerate iterative solvers.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "name": "Stéphanie Chaillat"
    },
    {
      "name": "Marion Darbas"
    },
    {
      "name": "Paul Escapil-Inchauspé"
    },
    {
      "name": "Carlos Jerez-Hanckes"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d9gwtqw2864m0.bib",
  "cited_by": 0,
  "doi": "10.1016/j.camwa.2026.08.005",
  "fulltext_url": null,
  "id": "d9gwtqw2864m0",
  "issns": [
    "0898-1221"
  ],
  "landing_url": "https://hal.science/hal-05357974v2",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "openalex",
      "2206|Advanced Numerical Methods in Computational Mathematics"
    ]
  ],
  "openalex": "W7202383315",
  "pdf_url": "https://hal.science/hal-05357974/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-13",
  "publisher": "Elsevier",
  "ris": "https://research.draconitic.com/paper/d9gwtqw2864m0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:33Z",
      "native_id": "hal-05357974",
      "source": "hal",
      "url": "https://hal.science/hal-05357974v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "Local Multiple Traces Formulation for Transmission Problems in Linear Elasticity",
  "title_text": "Local Multiple Traces Formulation for Transmission Problems in Linear Elasticity",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:33Z",
  "url": "https://research.draconitic.com/paper/d9gwtqw2864m0",
  "venue": "Computers & Mathematics with Applications",
  "versions": []
}