The implications of second-order functional derivatives on error estimation in adaptive finite element analysis for electromagnetics

Citation
S. Mcfee et D. Giannacopoulos, The implications of second-order functional derivatives on error estimation in adaptive finite element analysis for electromagnetics, IEEE MAGNET, 35(3), 1999, pp. 1330-1333
Citations number
6
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
1330 - 1333
Database
ISI
SICI code
0018-9464(199905)35:3<1330:TIOSFD>2.0.ZU;2-6
Abstract
The potential advantages and related costs of using second-order functional mesh discretization derivatives for error estimation in adaptive finite el ement analysis (FEA) for electromagnetics are investigated. Second-order in dicators are proposed to identify and stabilize erroneous first-order error distributions that arise in unbalanced discretization regions. Effective c ombined derivative estimators are introduced and evaluated in practical app lications.