Machine Calculation of the Problem of Expansion of the Magnetic Field Measurement Grid

Machine calculations of field problems and confirmation of adequacy of mathematical models of the numerical expansion of magnetic field measurements grid on a closed circuit are presented. The dimensionality of calculated numerical arrays is reduced due to artificial transitions from a spatial field problem to a problem on a plane. The article proposes a computer implementation of a mathematical model that significantly reduces the size of calculation arrays. Approaches for solving problems of instability of linear algebraic equations systems solutions by numerical methods are proposed. It also includes ways to check the obtained solutions with the help of known relations of the field theory and solutions of uncertainties that arise near the borders of elementary sites, segments and corners in the measuring grid. All the stated provisions are confirmed by a numerical experiment, the results of which are given in the article.