The finite element method has recently been employed in investigating
magnetization processes in materials with an irregular microstructure.
In order to improve the accuracy of the solution, a method based on a
n adaptive refinement scheme is clearly desirable. Error control is es
sential if accuracy of results is to be optimal. We have applied an ad
aptive scheme to a system of interacting two-dimensional polycrystalli
ne grains. The error estimator is based on the divergence and curl of
both the magnetization and demagnetizing field. It is shown that incre
asing levels of discretization improve the micromagnetic solution, and
the spatial localization of the additional nodes demonstrates the imp
ortance of the adaptive meshing technique. (C) 1997 American Institute
of Physics.