Cj. Li et al., AN APPROACH TO ADAPTIVE MESH REFINEMENT FOR 3-DIMENSIONAL EDDY-CURRENT COMPUTATIONS, IEEE transactions on magnetics, 30(1), 1994, pp. 113-117
Two kinds of error estimators are proposed for adaptive mesh refinemen
t for 3D eddy-current problems. One is based on the principle of Ligur
ian and the other is based on the numerical discontinuity of the field
results. The Ligurian estimators have been established from the compl
ex vector field quantities and can be electric or magnetic. The dualit
y between H and E formulations is reflected in the estimators based on
the discontinuity of the field results. Edge-division technique and a
'local Laplace' algorithm have been used in the mesh refinement imple
mentation. A comparison between the different error estimators has bee
n given through numerical examples.