Extraction of Finite Element Basis Functions From the Cellular Topology of Meshes

Cédric Doucet (1, 2) , Isabelle Charpentier (3) , Jean-Louis Coulomb (2) , Christophe Guérin (4)

1 EDP - Equations aux Dérivées Partielles
2 G2ELab - Laboratoire de Génie Electrique de Grenoble
3 LPMM - Laboratoire de physique et mécanique des matériaux
4 Cedrat

This paper is devoted to the presentation of a simple but powerful topological approach for the computation of basis functions involved in the expression of finite element interpolants. It deals with the so-called nodal and edge elements but similar considerations can be made for the construction of facet ones. All standard cells are treated including pyramids.

Domaines: Energie électrique

Cédric Doucet, Isabelle Charpentier, Jean-Louis Coulomb, Christophe Guérin. Extraction of Finite Element Basis Functions From the Cellular Topology of Meshes. IEEE Transactions on Magnetics, 2008, 44 (6), pp.726-729. ⟨10.1109/TMAG.2007.915949⟩. ⟨hal-00287783⟩