Inf-sup stable non-conforming finite elements on tetrahedra with second and third order accuracy - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

Inf-sup stable non-conforming finite elements on tetrahedra with second and third order accuracy

Résumé

We introduce a family of scalar non-conforming finite elements with second and third order accuracy with respect to the $H^1$-norm on tetrahedra. Their vector-valued versions generate, together with discontinuous pressure approximations of order one and two respectively, inf-sup stable finite element pairs with convergence order two and three for the Stokes problem in energy norm.
Fichier principal
Vignette du fichier
Paper_FE_3D.pdf (1.54 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence

Dates et versions

hal-04541809 , version 1 (11-04-2024)

Licence

Identifiants

  • HAL Id : hal-04541809 , version 1

Citer

Loïc Balazi, Grégoire Allaire, Pierre Jolivet, Pascal Omnes. Inf-sup stable non-conforming finite elements on tetrahedra with second and third order accuracy. 2024. ⟨hal-04541809⟩
273 Consultations
121 Téléchargements

Partager

More