A straightforward way to reduce a locally nonhomogeneous field problem to a homogeneous one

The aim is to remove performance limitations of boundary-element method with regard to the field problems with locally nonhomogeneous media, where μ=μ(x, y, z). The means consist in proving a field solution of novel structure, able to comply with quite realistic numerical requirements. One succeeds in decomposing the nonlaplacian potential into two factors one depending on the boundary data, the other one on the local permeability, only. In this way, the specified problem is merely reduced to one of a laplacian field. The algorithm (Dirichlet and Neumann) is developed and the numerical results are compared with those obtained by a classical method