Title :
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
fDate :
5/1/1999 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
