'H-ORIENTED' AND 'B-ORIENTED' METHODS IN A PROBLEM OF NONLINEAR MAGNETOSTATICS: SOME METHODOLOGICAL REMARKS

Abstract

Problems which depend on a small parameter in their formulation can often be studied by a perturbation approach. Whether the perturbation is "regular" or 'singular is important in many respects. In magnetostatics, due to some inherent duality, both kinds of perturbation may happen, depending on the chosen formulation ( 'b-oriented' vs. 'h-oriented' methods). Singularly perturbed problems are numerically more difficult than regularly perturbed ones . We suggest that this might explain why, as some recent numerical observations seem to suggest, b-oriented methods should give better accuracy in a specific class of nonlinear magnetostatic problems at high permeability. [Vol. 7, No. 1, pp. 78-89 (1992)]