Higher-Order Finite Elements for Hybrid Meshes Using New Nodal Pyramidal Elements - ENSTA Paris - École nationale supérieure de techniques avancées Paris Accéder directement au contenu
Article Dans Une Revue Journal of Scientific Computing Année : 2010

Higher-Order Finite Elements for Hybrid Meshes Using New Nodal Pyramidal Elements

Résumé

We provide a comprehensive study of arbitrarily high-order finite elements defined on pyramids. We propose a new family of high-order nodal pyramidal finite element which can be used in hybrid meshes which include hexahedra, tetrahedra, wedges and pyramids. Finite elements matrices can be evaluated through approximate integration, and we show that the order of convergence of the method is conserved. Numerical results demonstrate the efficiency of hybrid meshes compared to pure tetrahedral meshes or hexahedral meshes obtained by splitting tetrahedra into hexahedra.
Fichier principal
Vignette du fichier
JSC-Pyramids.pdf (715.05 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-00454261 , version 1 (08-02-2010)

Identifiants

Citer

Morgane Bergot, Gary Cohen, Marc Duruflé. Higher-Order Finite Elements for Hybrid Meshes Using New Nodal Pyramidal Elements. Journal of Scientific Computing, 2010, 42 (3), pp.345--381. ⟨10.1007/s10915-009-9334-9⟩. ⟨hal-00454261⟩
315 Consultations
822 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More