Mathematical modeling, numerical methods and software package for solving three-dimensional inverse problems of magnetometry

Approaches to mathematical modeling and the construction of numerical methods for solving a wide class of inverse magnetometry problems are considered, which are applicable both to solving "small" problems (for example, restoring the magnetization parameters of some object located near the Earth's surface according to the data of measuring the induction of an anomalous magnetic field and/or the full gradient tensor of magnetic induction components) and for restoring parameters of the magnetization of the crust of the planets of the Solar system according to satellite measurements (as in the case of the absence of a magnetic dynamo in the planet, and if there is one). These tasks require the development of effective computational methods using modern computer technologies. Therefore, in the report one of the accents will be placed on the development of numerical methods for solving large redefined systems of linear algebraic equations with a densely filled matrix, to the solution of which the problems under consideration are reduced, as well as on the features of using supercomputer systems in calculations performed using parallel software implementation of these numerical methods.
Friday 01.12.2023, 17:00 Novosibirsk time (13:00 Moscow time)