Functional derivatives and optimal discretization based refinement criteria for adaptive finite element analysis with scaler tetrahedra

Authors
Giannacopoulos, D McFee, S
Citation
D. Giannacopoulos et S. Mcfee, Functional derivatives and optimal discretization based refinement criteria for adaptive finite element analysis with scaler tetrahedra, IEEE MAGNET, 35(3), 1999, pp. 1326-1329
Citations number
8
Categorie Soggetti
Apllied Physucs/Condensed Matter/Materiales Science
Journal title
IEEE TRANSACTIONS ON MAGNETICS
ISSN journal
00189464 → ACNP
Volume
35
Issue
3
Year of publication
1999
Part
1
Pages
1326 - 1329
Database
ISI
SICI code
0018-9464(199905)35:3<1326:FDAODB>2.0.ZU;2-T
Abstract
Efficient functional derivative formulas suitable for optimal discretizatio n; based refinement criteria are developed for 3-D adaptive finite element analysis (FEA) with scalar tetrahedra. Results for generalized scalar Poiss on and Helmholtz systems are derived directly from first principles, and co nfirmed numerically through fundamental benchmark evaluations. Practical ad aption applications are illustrated for selected FEA refinement models.