Abstract—The paper addresses issues related to constructing the analytical approximations of geopotential fields based on a modified method of S-approximations which approximates the initial field by a sum of potentials of a simple and a double layer distributed on a set of carriers of mass located below a given relief. Special attention is paid to the application of new highly efficient methods for solving the systems of linear algebraic equations (SLAE) of large and super-large dimensions to which the inverse geophysical and geodetic problems are reduced. An improved block contrasting method is proposed for solving these SLAEs. The underlying idea of the method is to divide the initial domain into the subdomains that are most contrasting by their properties and to subsequently deform the blocks. The results of mathematical experiments on constructing the analytical approximations of anomalous gravity and magnetic fields and separating the fields created by the different sets of the sources are presented.
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Stepanova, I.E., Raevskiy, D.N. & Shchepetilov, A.V. Separation of Potential Fields Generated by Different Sources Based on Modified S-Approximations. Izv., Phys. Solid Earth 56, 379–391 (2020). https://doi.org/10.1134/S106935132003012X
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DOI: https://doi.org/10.1134/S106935132003012X