The solution of the non-linear inverse problem of magnetostatics by the regularization method

On the inverse problem of magnetostatics

“…In this case, it is possible to reproduce the potential ϕ L (x, y) in the entire space outside the ferromagnet via the known potential ϕ L on the boundary. This problem is called the Dirichlet problem; it is expressed by the following formula: (6) The derivative with respect to the surface normal is expressed as follows:…”

“…A large number of studies [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] have been devoted to solving the inverse problem. Numerical analysis of the magnetic field configurations of the ferromagnetic objects of limited length, which have surface and subsurface defects, was performed in [12,13] by the method of spatial integral equations.…”