Determination and utilization of the source field in 3D magnetostatic problems

In this paper we study different approaches to introduce the source terms due to the inductors crossed by a uniform current density J/sub 0/ in 3D FEM. Two equivalent methods are developed to decompose the current density J in the facet element space with divergence free close to J/sub 0/. This decomposition is used in the a-formulation without gauge condition. Moreover, from the flux facet the source field H/sub s/ can be calculated in the edge element space and introduced into the /spl phi/-formulation. As examples of applications we have studied a coil with a complex geometry and a iron core coil.