Metraipolis › archive › dc_2ff1cfdded33

From multi-layered problems to multiple two-layered problems: a novel frequency-time hybrid multiple-scattering integral equation solver — arXiv:2608.30287

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.30287
License (as archived): CC0-1.0
Archived: 2026-10-17T09:28:35.326Z
SHA-256 of the archived text: 5cb5698548e2d30fe8112230598e77799857029b1a62e2cb95c41778599c0600
Stable URL of this page: https://metraipolis.com/documento/dc_2ff1cfdded33

How to cite

From multi-layered problems to multiple two-layered problems: a novel frequency-time hybrid multiple-scattering integral equation solver — arXiv:2608.30287 — arXiv (en), https://arxiv.org/abs/2608.30287 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_2ff1cfdded33 (Metraipolis archive dc_2ff1cfdded33, sha256 5cb5698548e2d30fe8112230598e77799857029b1a62e2cb95c41778599c0600)

BibTeX

@misc{dc2ff1cfdded33,
  title = {From multi-layered problems to multiple two-layered problems: a novel frequency-time hybrid multiple-scattering integral equation solver — arXiv:2608.30287},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.30287},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_2ff1cfdded33; sha256 5cb5698548e2d30fe8112230598e77799857029b1a62e2cb95c41778599c0600},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.30287. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

This paper proposes a novel frequency-time hybrid multiple scattering (FTH-MS) integral equation solver for time-dependent wave equation problems in general multi-layered media, with remarkable scalability with respect to the number of layers $N$. In light of the finite speed of wave propagation, the new methodology provides an innovative multiple-scattering idea of re-modeling the original $N$-layered problem into a sequence of $N-1$ two-layered sub-problems, for which the main advantages lie in that (i) each sub-problem enjoys much simpler wave scattering properties compared with the complicated problem in a multi-layered medium, (ii) it enables to develop high-accuracy solver utilizing Fourier transform and frequency-domain boundary integral equation (BIE) method; and (iii) numerical evaluation of the sub-problems in each multiple scattering step can be parallelized. Both multiplicative- and additive-type strategies are developed and equivalence results, which indicate that the $M$-th order multiple scattering sums can provide equivalent representations of the solutions up to a certain time $T(M)$, are rigorously derived. Owing to the existed result of exponential convergence of the perfectly-matched-layer (PML) truncation for two-layered problem, all the sub-problems is numerically resolved by means of the FTH method based on the Fourier transform and the PML-BIE method whose numerical evaluation is addressed utilizing the Chebyshev-based rectangular-polar solver with high accuracy. Numerical examples are presented to validate the efficiency and accuracy of the proposed method.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-01 in math.NA).
Categorie arXiv: Numerical Analysis (math.NA).
Pagina del lavoro: https://arxiv.org/abs/2608.30287 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T08:59:54.372Z dalla pagina https://arxiv.org/catchup/math.NA/2026-09-01?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).