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JOURNALS // Numerical methods and programming // Archive

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

This article is cited in 3 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.

UDC: 517.968:519.612:004.272.43



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