DocumentCode
1273950
Title
The implications of second-order functional derivative convergence for adaptive finite-element electromagnetics
Author
McFee, Steve ; Giannacopoulos, Dennis
Author_Institution
Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, Que., Canada
Volume
38
Issue
2
fYear
2002
fDate
3/1/2002 12:00:00 AM
Firstpage
457
Lastpage
460
Abstract
The usefulness of second-order functional derivatives for resolving convergence properties in adaptive finite-element electromagnetics is investigated. Second-order criteria are proposed to assess the convergence of the global solution for arbitrary discretizations of scalar Helmholtz systems. Effective convergence criteria are introduced and evaluated for some practical applications
Keywords
Helmholtz equations; convergence of numerical methods; electromagnetic fields; error analysis; finite element analysis; adaptive finite-element electromagnetics; arbitrary discretizations; convergence criteria; electromagnetic analysis; error analysis; global solution; scalar Helmholtz systems; second-order functional derivative convergence; Computer errors; Convergence; Councils; Electromagnetic analysis; Error analysis; Error correction; Finite element methods; Helium; Partial differential equations; Reliability engineering;
fLanguage
English
Journal_Title
Magnetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9464
Type
jour
DOI
10.1109/20.996121
Filename
996121
Link To Document