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
fDate :
3/1/2002 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
