{
  "abstract": "We construct an equation-of-state-independent geometric-compatible finite-volume (GC-FV) method and a high-order nodal discontinuous Galerkin spectral-element extension (GC-DG) for a reduced Godunov-Peshkov-Romenski system on fixed Eulerian meshes. Density is recovered from $ρ=ρ_0\\det(\\mathbf{A})$, so mass conservation is a hidden companion law of the distortion equation. Starting from a straight-path Dal Maso-LeFloch-Murat fluctuation pair, minimum-change cofactor projections produce a single-valued density flux and exact induced local Lax-Friedrichs dissipation without jump quotients. The summation-by-parts property lifts the geometric two-state identity to high order and yields an equivalent subcell representation of GC-DG. We then blend GC-DG with the compatible GC-FV operator on the same Legendre-Gauss-Lobatto subcells. Because both operators induce the same boundary density flux, the global subcell blend retains the exact semidiscrete mass balance while suppressing shock-generated oscillations. A complementary modal/face-jump indicator supplies the elementwise blending coefficient. Numerical experiments verify high-order convergence, the expected temporal scaling of the fully discrete mass drift, and robust shock capturing for fluid, nonlinear-elastic, thermal-wave, and elastoplastic problems, including genuinely multidimensional configurations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34755",
  "author_total": 1,
  "authors": [
    {
      "name": "Jielin Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ahnf03ewv8vc1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34755",
  "fulltext_url": null,
  "id": "ahnf03ewv8vc1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34755",
  "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",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2206|Computational Fluid Dynamics and Aerodynamics"
    ]
  ],
  "openalex": "W7223790944",
  "pdf_url": "https://arxiv.org/pdf/2610.34755",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ahnf03ewv8vc1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.34755",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34755"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "A High-Order Geometric-Compatible DGSEM with Subcell Limiting for the GPR System",
  "title_text": "A High-Order Geometric-Compatible DGSEM with Subcell Limiting for the GPR System",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/ahnf03ewv8vc1",
  "venue": "arXiv",
  "versions": []
}