Citation
M. Amara et M. Duloue, A regularization operator for the Nedelec tetraedric finite elements, CR AC S I, 333(3), 2001, pp. 249-254
Citations number
7
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442
→ ACNP
Volume
333
Issue
3
Year of publication
2001
Pages
249 - 254
Database
ISI
SICI code
0764-4442(20010801)333:3<249:AROFTN>2.0.ZU;2-U
Abstract
We present a regularization operator for the Nedelec tetraedric finite elem
ents. This operator requires only a minimal regularity when the classical o
perators need very more. Its construction relies on some macro-elements ass
ociated to the edges of the considered triangulation and uses dual function
s of the classical basis. We present the main properties of this operator a
nd give its local and global approximation estimates. (C) 2001 Academie des
sciences/Editions scientifiques et medicales Elsevier SAS.