S. Mcfee et D. Giannacopoulos, The implications of second-order functional derivatives on error estimation in adaptive finite element analysis for electromagnetics, IEEE MAGNET, 35(3), 1999, pp. 1330-1333
The potential advantages and related costs of using second-order functional
mesh discretization derivatives for error estimation in adaptive finite el
ement analysis (FEA) for electromagnetics are investigated. Second-order in
dicators are proposed to identify and stabilize erroneous first-order error
distributions that arise in unbalanced discretization regions. Effective c
ombined derivative estimators are introduced and evaluated in practical app
lications.