{
  "abstract": "This paper addresses the treatment of large T-elements, based on Lagrange interpolation, through the application of constraints along the horizontal and vertical mesh lines of a quadrilateral patch. Instead of resorting to manual or symbolic factorization to determine explicit closed-form expressions of the shape functions, we propose constructing a transformation matrix and applying it directly to the background tensor-product grid, thereby establishing a linear relationship between the active (primary or master) and the auxiliary (secondary or slave) degrees of freedom. Software implementation is greatly simplified when all data (boundary conditions, slave-node definitions, etc.) refer directly to the background tensor-product mesh, while the subsequent computation of the corresponding nodal values streamlines post-processing operations. Representative numerical examples illustrate the correctness of the proposed formulation and demonstrate its practical effectiveness in the analysis of field, elasticity and eigenvalue problems.",
  "abstract_shown": true,
  "affiliations": [
    "School of Mechanical Engineering, National Technical University of Athens, 9 Iroon Polytechniou Str., 15780 Athens, Greece"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Christopher G. Provatidis",
      "orcid": "0000-0002-1845-9245"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e7a6dv5vz45qk.bib",
  "cited_by": 0,
  "doi": "10.3390/axioms15100763",
  "fulltext_url": null,
  "id": "e7a6dv5vz45qk",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/10/763",
  "language": null,
  "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": [
    [
      "openalex",
      "2206|Advanced Numerical Methods in Computational Mathematics"
    ]
  ],
  "openalex": "W7213256051",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/e7a6dv5vz45qk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15100763",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/10/763"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "journal-openalex:F26",
      "subfield": "general"
    }
  ],
  "title": "Efficient Construction of T-Mesh Bases via a Constraint Transformation Matrix",
  "title_text": "Efficient Construction of T-Mesh Bases via a Constraint Transformation Matrix",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/e7a6dv5vz45qk",
  "venue": "Axioms",
  "versions": []
}