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Num. Meth. Prog., 2007, Volume 8, Issue 1, Pages 103–112 (Mi vmp475)  

This article is cited in 3 scientific papers (total in 4 papers)

Вычислительные методы и приложения

On regular methods for solving the inverse gravity problems on massively parallel computing systems

E. N. Akimovaa, V. V. Vasina, G. Ya. Perestoroninaa, L. Yu. Timerkhanovaa, P. S. Martyshkob, D. Y. Koksharovb

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

Abstract: Several direct and iterative methods for solving the inverse gravity problems are proposed and numerically realized on the massively parallel computing system MVS-1000. As a result, we find the variable density in horizontal and curvilinear layers on the basis of gravitational data measured on the ground surface. The speed-up and efficiency of the parallel iterative algorithms are analyzed depending on the number of processors in use. This work was supported by the Russian Foundation for Basic Research (project N 06-01-00116). The paper was prepared on the basis of the authors' report at the International Conference on Parallel Computing Technologies (PaVT-2007; http://agora.guru.ru/pavt).

Keywords: inverse gravity problem, Fredholm integral equation, iterative methods, parallel algorithms, multiprocessor computing system.

Full text: PDF file (397 kB)
UDC: 517.968:519.612:004.272.43

Citation: E. N. Akimova, V. V. Vasin, G. Ya. Perestoronina, L. Yu. Timerkhanova, P. S. Martyshko, D. Y. Koksharov, “On regular methods for solving the inverse gravity problems on massively parallel computing systems”, Num. Meth. Prog., 8:1 (2007), 103–112

Citation in format AMSBIB
\Bibitem{AkiVasPer07}
\by E.~N.~Akimova, V.~V.~Vasin, G.~Ya.~Perestoronina, L.~Yu.~Timerkhanova, P.~S.~Martyshko, D.~Y.~Koksharov
\paper On regular methods for solving the inverse gravity problems on massively parallel computing systems
\jour Num. Meth. Prog.
\yr 2007
\vol 8
\issue 1
\pages 103--112
\mathnet{http://mi.mathnet.ru/vmp475}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. V. Vasin, V. N. Dubinin, V. G. Romanov, “Itogovyi nauchnyi otchet po mezhdistsiplinarnomu integratsionnomu proektu SO RAN: “Razrabotka teorii i vychislitelnoi tekhnologii resheniya obratnykh i ekstremalnykh zadach s prilozheniem v matematicheskoi fizike i gravimagnitorazvedke””, Sib. elektron. matem. izv., 5 (2008), 427–439  mathnet  elib
    2. E. N. Akimova, G. G. Skorik, “Regulyarnye metody resheniya obratnoi zadachi gravimetrii [Itogovyi nauchnyi otchet po mezhdistsiplinarnomu integratsionnomu proektu SO RAN: “Razrabotka teorii i vychislitelnoi tekhnologii resheniya obratnykh i ekstremalnykh zadach s prilozheniem v matematicheskoi fizike i gravimagnitorazvedke”]”, Sib. elektron. matem. izv., 5 (2008), 509–517  mathnet  mathscinet
    3. V. V. Vasin, E. N. Akimova, G. Ya. Perestoronina, P. S. Martyshko, V. A. Pyankov, “Metody resheniya obratnoi zadachi magnitometrii [Itogovyi nauchnyi otchet po mezhdistsiplinarnomu integratsionnomu proektu SO RAN: “Razrabotka teorii i vychislitelnoi tekhnologii resheniya obratnykh i ekstremalnykh zadach s prilozheniem v matematicheskoi fizike i gravimagnitorazvedke”]”, Sib. elektron. matem. izv., 5 (2008), 620–631  mathnet  mathscinet
    4. “Vladimir Vasil'evich Vasin. On the occasion of his 70th birsday”, Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 1–12  mathnet  crossref  isi
  • Numerical methods and programming
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