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

Author

Giannacopoulos, Dennis ; McFee, Steve

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

1326

Lastpage

1329

Abstract

Efficient functional derivative formulae suitable for optimal discretization based refinement criteria are developed for EM field 3-D adaptive finite element analysis (FEA) with scalar tetrahedra. Results for generalized scalar Poisson and Helmholtz systems are derived directly from first principles, and confirmed numerically through fundamental benchmark evaluations. Practical adaption applications are illustrated for selected FEA refinement models

Keywords

electromagnetic field theory; error analysis; finite element analysis; optimisation; EM field analysis; FEA refinement models; adaption applications; adaptive finite element analysis; functional derivatives; fundamental benchmark evaluations; generalized scalar Helmholtz system; generalized scalar Poisson system; optimal discretization based refinement criteria; scalar tetrahedra; Adaptive systems; Computational efficiency; Councils; Electromagnetic analysis; Electromagnetic measurements; Error analysis; Finite element methods; Numerical models; Packaging; Research and development;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.767206

Filename

767206