Détail du document
Identifiant
oai:arXiv.org:2407.03680
Sujet
Mathematics - Numerical Analysis 65N30, 65D07Auteur
Hu, Jun Lin, Ting Wu, Qingyu Yuan, BeihuiCatégorie
Computer Science
Année
2024
Date de référencement
10/07/2024
Mots clés
spaces element superspline finiteRésumé
This paper addresses the sufficient and necessary 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 space and the finite element space.
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 should in general require an extra $C^{2^{s}r}$ continuity on $s$-codimensional simplices, and the polynomial degree is at least $(2^d r + 1)$.
;Comment: 22 pages, 4 figures
Hu, Jun,Lin, Ting,Wu, Qingyu,Yuan, Beihui, 2024, The condition for constructing a finite element from a superspline
Investigating the Serotonergic Modulation of Orientation Tuning of Neurons in Primary Visual Cortex of Anesthetized Mice
cortical tuning mean serotonin firing modulation rate neurons orientation visual activity system
