Abstract
A parallel iterative method of solving nonlinear inverse logarithmic potential problems and three-dimensional problems in gravimetry and magnetometry is proposed.
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E. N. Akimov, V. V. Vasin, and G. Ya. Perestoronina, “Solving the Inverse Magnetometry Problem by Parallel Technologies,” in 33th Session of D.G. Uspenskii International Seminar on Theory and Practice of Geological Interpretation of Gravitational, Magnetic and Electric Fields (Ekaterinburg, 2006), pp. 447–450.
I. V. Boikov, “Method of Local Corrections in Analytic Continuation Problems,” Geophysical Journal, 17(1), 42–49 (1995).
I. V. Boikov and N. V. Moiko, “An Iterative Method for Solving the Inverse Gravity Problem for a Contact Surface,” Fizika Zemli, No. 2, 52–56 (1999) [Izvestiya, Physics of the Solid Earth, 35 (2), 133 (1999)].
V. B. Glasko, A. Kh. Ostromogil’skii, and V. G. Filatov, “On Reconstruction of the Depth and the Form of a Contact Surface on the Basis of the Regularization Method,” Zh. Vychisl. Mat. Mat. Fiz. 10(5), 1292–1297 (1970).
Gravity Exploration: a Handbook of a Geophysicist, Ed. by E. A. Mudretsova and K. E. Veselov (Nedra, Moscow, 1990) [in Russian].
V. I. Starostenko, Stable Numerical Methods in Gravity Problems, (Naukova Dumka, Kiev, 1978) [in Russian].
V. I. Starostenko, N. N. Chernaya, and A. V. Chernyi, “An Inverse Gravimetry Problem for a Contact Surface. I,” Fizika Zemli, No. 6, 48–58 (1992).
V. I. Starostenko, N. N. Chernaya, and A. V. Chernyi, “An Inverse Gravimetry Problem for a Contact Surface. II,” Fizika Zemli, No. 7, 47–56 (1993a).
V. I. Starostenko, N. N. Chernaya, and A. V. Chernyi, “An Inverse Gravimetry Problem for a Contact Surface. III,” Fizika Zemli, No. 7, 57–66 (1993b).
V. N. Strakhov, “Some Problems of the Plane Gravimetry Problem,” Izv. Akad. Nauk SSSR. Fizika Zemli,“ Fizika Zemli, No. 12, 32–44 (1970).
V. N. Strakhov and T. A. Gvantseladze, “On Solving Inverse Linear Gravity Exploration Problems,” Proc. GSSR, 33(2), 289–292 (1989).
A. N. Tikhonov and V. B. Glasko, “Application of the Regularization Method in Nonlinear Problems,” Zh. Vychisl. Mat. Mat. Fiz. 5(3), 463–473 (1965).
A. N. Tikhonov and V. Ya. Arsenin, Methods for the Solution of Ill-Posed Problems, (Nauka, Moscow, 1979) [in Russian].
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Original Russian Text © I.V. Boikov, A.I. Boikova, 2009, published in Fizika Zemli, 2009, No. 3, pp. 73–82.
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Boikov, I.V., Boikova, A.I. A parallel method of solving nonlinear inverse problems in gravimetry and magnetometry. Izv., Phys. Solid Earth 45, 248–257 (2009). https://doi.org/10.1134/S1069351309030069
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DOI: https://doi.org/10.1134/S1069351309030069