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Izvestiya, Physics of the Solid Earth : Volume 53

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The method of functional representations in the solution of inverse problems of gravimetry

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Recent geodynamics of a fault system

Self-excited regime of sedimentation of partially molten rocks

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The method of functional representations in the solution of inverse problems of gravimetry

Content Provider	Springer Nature Link
Author	Kobruv, A. I.
Copyright Year	2015
Abstract	The paper describes the method for solving the inverse problems of gravimetry based on the functional representations, which follow from the variational principles in the uniform metrics with respect to density models of the geological medium. The functional representations are obtained for both the linear problem (which study local density distributions) and nonlinear problem (which study a system of structural models). The explicit formulas for calculating density models are derived for the particular cases based on the introduced functional representations of the obtained solutions. In the general case, the converging iterative processes providing the solution for both the density distribution models and structural models are constructed. The relationship is established between the functional representations implementing the variational principle in the uniform metric and linear integral representations corresponding to the optimization in the quadratic norm, on one hand, and the other known density models, on the other hand.
Starting Page	459
Ending Page	468
Page Count	10
File Format	PDF
ISSN	10693513
Journal	Izvestiya, Physics of the Solid Earth
Volume Number	51
Issue Number	4
e-ISSN	15556506
Language	English
Publisher	Pleiades Publishing
Publisher Date	2015-07-14
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	gravimetry inverse problems variational principle uniform optimization quadratic functionals linear problems structural problems linear integral representations functional representations spectral representations of the solutions iterative processes relaxation parameter equivalent solutions Geophysics/Geodesy
Content Type	Text
Resource Type	Article
Subject	Earth and Planetary Sciences Environmental Science

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