A NEW FINITE ELEMENT‐BOUNDARY INTEGRAL PROCEDURE FOR THE SOLUTION OF THE MAGNETOSTATIC FIELD PROBLEM

A new finite element‐boundary integral procedure for the solution of the magnetostatic field problem has been introduced previously by the author and J.S. Colonias. The approach there involved a reformulation of an integral equation in the iron domain as a weak formulation combining a differential operator in the iron domain and an integral operator on the iron boundary. The reformulated problem is discretized by finite element techniques in solenoidal piecewise polynomial subspaces. In this paper we modify the above formulation to obtain one with a differential operator inside a sphere containing the iron domain and an integral operator on the boundary of the sphere. We then consider a numerical realization of our method in the two dimensional case. This new formulation considerably simplifies the computation of the discrete operator on the boundary.