V. V. Vasin, E. N. Akimova, G. Ya. Perestoronina, P. S. Martyshko, V. A. P'yankov, “Methods for inverse magnitometry problem solving”, Sib. Èlektron. Mat. Izv., 2008, Volume 5,Pages <nobr>620

This article is cited in 1 paper

Reviews

Methods for inverse magnitometry problem solving

V. V. Vasin^a, E. N. Akimova^a, G. Ya. Perestoronina^a, P. S. Martyshko^b, V. A. P'yankov^b

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^b Institute of Geophisics Ural Branch of RAS, Ekaterinburg

Abstract: The three-dimensional inverse magnetometry problem is investigated. The magnetometry equation is reduced to the two-dimensional nonlinear equations of the first kind. For solving nonlinear magnetometry equation the iterative regularized Newton method and the modified Levenberg–Marquardt method are used. Results of the solution of magnetometry problem for real magnetic fields are presented.

Keywords: inverse magnitometry problem, integral equation, parallel regular algorithms, parallel computing system MVS-1000.

UDC: 517.988.68

MSC: 65R30

Received July 17, 2008, published November 27, 2008