{
  "abstract": "This paper develops a high-order cut energy-based discontinuous Galerkin (CutEDG) method for second-order acoustic wave equations on complex domains and across stationary material interfaces. The method employs unfitted Carte- sian meshes and addresses the small-cut-cell problem by introducing ghost-penalty stabilization directly into the local bilinear forms defining the EDG energy, while leaving the original spatial coupling and numerical-flux structure unchanged. We establish semidiscrete energy stability and a priori error estimates showing that high-order accuracy is retained. The formulation is further extended to interface problems with discontinuous wave speeds. Numerical experiments confirm the pre- dicted convergence rates and demonstrate robustness with respect to arbitrarily small cut cells. In particular, the explicit time-step restriction is governed by the background mesh size rather than the smallest physical cut cell, and the stabilized energy Gram matrices exhibit cut-independent conditioning.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38378",
  "author_total": 4,
  "authors": [
    {
      "name": "Yangxin Fu"
    },
    {
      "name": "Yan Jiang"
    },
    {
      "name": "Siyang Wang"
    },
    {
      "name": "Lu Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/28b1s1j9rt0st.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38378",
  "fulltext_url": null,
  "id": "28b1s1j9rt0st",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.38378",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2206|Advanced Numerical Methods in Computational Mathematics"
    ]
  ],
  "openalex": "W7215124543",
  "pdf_url": "https://arxiv.org/pdf/2609.38378",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/28b1s1j9rt0st.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.38378",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38378"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "An energy-based discontinuous Galerkin method for wave equations on complex geometric domains",
  "title_text": "An energy-based discontinuous Galerkin method for wave equations on complex geometric domains",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/28b1s1j9rt0st",
  "venue": "arXiv",
  "versions": []
}