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Space-time finite element interpolation of nonsmooth functions satisfying boundary conditions — arXiv:2609.11496

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.11496
License (as archived): CC0-1.0
Archived: 2026-10-16T06:10:08.026Z
SHA-256 of the archived text: 413d73fa8023aba916f683f539992206865a85e8a1202f1211b0d95ba9f13629
Stable URL of this page: https://metraipolis.com/documento/dc_30ee85eba5ce

How to cite

Space-time finite element interpolation of nonsmooth functions satisfying boundary conditions — arXiv:2609.11496 — arXiv (en), https://arxiv.org/abs/2609.11496 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_30ee85eba5ce (Metraipolis archive dc_30ee85eba5ce, sha256 413d73fa8023aba916f683f539992206865a85e8a1202f1211b0d95ba9f13629)

BibTeX

@misc{dc30ee85eba5ce,
  title = {Space-time finite element interpolation of nonsmooth functions satisfying boundary conditions — arXiv:2609.11496},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.11496},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_30ee85eba5ce; sha256 413d73fa8023aba916f683f539992206865a85e8a1202f1211b0d95ba9f13629},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.11496. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We construct Scott-Zhang-type space-time quasi-interpolation operators on tensor- product meshes for parabolic settings. Specifically, these are linear and uniformly bounded projections from the classical parabolic energy space onto a space-time tensor-product finite element space that preserve discrete Dirichlet boundary conditions on the lateral space-time boundary. We apply our operator in the context of space-time first-order system least-squares finite elements for parabolic equations to establish a quasi-optimal method for inhomogeneous Dirichlet boundary conditions.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-11 in math.NA).
Categorie arXiv: Numerical Analysis (math.NA).
Pagina del lavoro: https://arxiv.org/abs/2609.11496 — 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 2026-10-16T05:55:33.335Z dalla pagina https://arxiv.org/catchup/math.NA/2026-09-11?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).