Magnetostatic field computations based on the coupling of finite-element and integral representation methods

We present an original method to compute the magnetic field generated by some electromagnetic device through the coupling of an integral representation formula and a finite-element method (FEM). The unbounded three-dimensional magnetostatic problem is formulated in terms of the reduced scalar potential. Through an integral representation formula, an equivalent problem is set in a bounded domain and discretized using a standard FEM. As a byproduct, an integral representation formula is proposed to compute the magnetic field in any point of the space from the reduced scalar potential without numerical differentiation.