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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 509–517 (Mi semr124)  

This article is cited in 2 scientific papers (total in 2 papers)

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The regular methods for inverse gravity problem solving

E. N. Akimova, G. G. Skorik

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
Full-text PDF (718 kB) Citations (2)
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Abstract: For solving three-dimensional inverse gravity problem on reconstruction interface between two media with constant density regular methods are supposed. The methods of the solution contain two stage. On the first stage from measured gravity field the anomalous effect is selected with using regularizing technique. On the second stage the iteratively regularized Newton and Fletcher-Reevs processes are applied to solve the nonlinear integral equation of gravimetry. Results of model numerical experiments on parallel computing system MVS-1000 are demonstrated.
Keywords: inverse gravity problem, integral equation, parallel regular algorithms, parallel computing system MVS-1000.
Received July 17, 2008, published November 27, 2008
Bibliographic databases:
Document Type: Article
UDC: 517.988.68
MSC: 65R30
Language: Russian
Citation: E. N. Akimova, G. G. Skorik, “The regular methods for inverse gravity problem solving”, Sib. Èlektron. Mat. Izv., 5 (2008), 509–517
Citation in format AMSBIB
\Bibitem{AkiSko08}
\by E.~N.~Akimova, G.~G.~Skorik
\paper The regular methods for inverse gravity problem solving
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 509--517
\mathnet{http://mi.mathnet.ru/semr124}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586654}
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