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Документ взят из кэша поисковой машины. Адрес
оригинального документа
: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2015/v16r116.html
Дата изменения: Tue Mar 31 13:16:47 2015 Дата индексирования: Sun Apr 10 02:53:18 2016 Кодировка: IBM-866 |
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"Gradient methods for solving inverse gravimetry and magnetometry problems on
the Uran supercomputer" Akimova E.N., Misilov V.E., Skurydina A.F., and Tret'yakov A.I. |
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A modified linearized steepest descent method with variable weight factors is proposed to solve three-dimensional structural inverse gravimetry and magnetometry problems of finding the interfaces between constant density or magnetization layers in a multilayer medium. A linearized conjugate gradient method and its modified version with weight factors for solving the gravimetry and magnetometry problems in a multilayer medium is constructed. On the basis of the modified gradient-type methods, a number of efficient parallel algorithms are numerically implemented on an Intel multi-core processor and NVIDIA GPUs. The developed parallel iterative algorithms are compared for a model problem in terms of the relative error, the number of iterations, and the execution time. Keywords: inverse gravimetry and magnetometry problems, parallel algorithms, gradient-type methods, multi-core and graphics processors.
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