Dokumentdetails
ID

oai:arXiv.org:2407.03680

Thema
Mathematics - Numerical Analysis 65N30, 65D07
Autor
Hu, Jun Lin, Ting Wu, Qingyu Yuan, Beihui
Kategorie

Computer Science

Jahr

2024

Auflistungsdatum

26.03.2025

Schlüsselwörter
spaces finite superspline element
Metrisch

Zusammenfassung

This paper addresses sharpness conditions for constructing $C^r$ conforming finite element spaces from a superspline spaces on general simplicial triangulations.

We introduce the concept of extendability for the pre-element spaces, which encompasses both the superspline spaces and the finite element spaces.

By examining the extendability condition for both types of spaces, we provide an answer to the conditions regarding the construction.

A corollary of our results is that constructing $C^r$ conforming elements in $d$ dimensions generally requires an extra $C^{2^{s}r}$ continuity on $s$-codimensional simplices, and the polynomial degree is at least $(2^d r + 1)$.

;Comment: 21 pages, 4 figures

Hu, Jun,Lin, Ting,Wu, Qingyu,Yuan, Beihui, 2024, The sharpness condition for constructing a finite element from a superspline

Dokumentieren

Öffnen

Teilen

Quelle

Artikel empfohlen von ES/IODE AI

Hespi: A pipeline for automatically detecting information from hebarium specimen sheets
science recognition institutional detects text-based text pipeline specimen