D. Giannacopoulos et S. Mcfee, Optimal discretization based adaptive finite element analysis for electromagnetics with vector tetrahedra, IEEE MAGNET, 37(5), 2001, pp. 3503-3506
Efficient functional derivative formulas suitable for optimal discretizatio
n based refinement criteria are developed for 3-D adaptive finite element a
nalysis (FEA) with vector tetrahedra. Results for generalized vector Helmho
ltz systems are derived directly from first principles, and confirmed numer
ically through fundamental benchmark evaluations. Practical adaption applic
ations are illustrated for selected FEA refinement models.