On the well-posedness of direct and inverse problems of magnetostatics. Part I

Abstract

In the first part of the article, the well-posedness of the problem of solving the fundamental equation of magnetostatics is analyzed. The errors in determining the resultant magnetic-field strength inside and outside a magnet from this equation are estimated depending on the inaccuracies in setting such initial equation parameters as external field strength, magnetic permeability, and the magnet shape.