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