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A Hybridizable Discontinuous Galerkin Method for Time-Modulated Drude--Lorentz Media — arXiv:2610.21991

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.21991
License (as archived): CC0-1.0
Archived: 2026-10-16T10:33:02.950Z
SHA-256 of the archived text: c83f7aecbeaccabbe3865552b4bfb39d1a04f9efd7fb39acf1e85b5f1817a3f4
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How to cite

A Hybridizable Discontinuous Galerkin Method for Time-Modulated Drude--Lorentz Media — arXiv:2610.21991 — arXiv (en), https://arxiv.org/abs/2610.21991 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_dccee8a28ca6 (Metraipolis archive dc_dccee8a28ca6, sha256 c83f7aecbeaccabbe3865552b4bfb39d1a04f9efd7fb39acf1e85b5f1817a3f4)

BibTeX

@misc{dcdccee8a28ca6,
  title = {A Hybridizable Discontinuous Galerkin Method for Time-Modulated Drude--Lorentz Media — arXiv:2610.21991},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.21991},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_dccee8a28ca6; sha256 c83f7aecbeaccabbe3865552b4bfb39d1a04f9efd7fb39acf1e85b5f1817a3f4},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.21991. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We formulate and analyze a hybridizable discontinuous Galerkin (HDG) method for Maxwell's equations coupled to four time-modulated Drude--Lorentz models: modulated in-coupling, modulated polarization density, modulated current density, and modulated effective mass. The use of electric displacement and model-dependent continuous material states gives a common treatment of temporal interfaces while preserving the distinct physical transmission rules. We derive energy and stability estimates, establish spatial and event-aligned time-error bounds, and separate time-integration error from error caused by misplaced switching times. Numerical experiments in three dimensions and in reduced modal systems confirm the predicted spatial, temporal, and switch-timing behavior, including the field-jump effect specific to the polarization-density model.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.NA, nuovi lavori del giorno).
Categorie arXiv: Numerical Analysis (math.NA).
Pagina del lavoro: https://arxiv.org/abs/2610.21991 — 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 2026-10-16T08:50:32.712Z dalla pagina https://arxiv.org/list/math.NA/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).