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

Author

McFee, Steve ; Giannacopoulos, Dennis

Author_Institution

Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, Que., Canada

Volume

35

Issue

3

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

1330

Lastpage

1333

Abstract

The potential advantages and related costs of using second-order functional mesh discretization derivatives for error estimation in adaptive finite element analysis (FEA) for electromagnetics are investigated. Second-order indicators are proposed to identify and stabilize erroneous first-order error distributions that arise in unbalanced discretization regions. Effective combined derivative estimators are introduced and evaluated in practical applications

Keywords

electromagnetic field theory; error analysis; mesh generation; EM field analysis; adaptive finite element analysis; applications; combined derivative estimators; electromagnetics; erroneous first-order error distributions; error estimation; mesh discretization; second-order functional derivative; unbalanced discretization regions; Adaptive systems; Computer errors; Cost function; Electromagnetic analysis; Energy measurement; Error analysis; Error correction; Finite element methods; Reliability engineering; Stability;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.767207

Filename

767207