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http://elar.urfu.ru/handle/10995/75311
Название: | Gradient method with preconditioner for solving nonlinear inverse gravimetry problem |
Авторы: | Akimova, E. N. Misilov, V. E. |
Дата публикации: | 2017 |
Издатель: | International Multidisciplinary Scientific Geoconference |
Библиографическое описание: | Akimova E. N. Gradient method with preconditioner for solving nonlinear inverse gravimetry problem / E. N. Akimova, V. E. Misilov // International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM. — 2017. — Vol. 17. — Iss. 14. — P. 157-164. |
Аннотация: | The most important geophysical problem is the inverse gravimetry problem. The problem is in finding an interface between two layers with different densities using known gravitational data. This problem is described by a nonlinear integral Fredholm equation of the first kind; so it is ill-posed. After the discretization of the integral operator, the problem is reduced to solving a system of nonlinear equation. For large grids, it is necessary to develop parallel algorithms for multiprocessor computing systems. To solve the inverse gravimetry problem of reconstructing a density interface using known gravitational data, an efficient gradient method with preconditioner is constructed. The parallel algorithm was developed and numerically implemented on the multicore processor incorporated in the Uran parallel computing system. The structural gravimetry problem with model data was solved. The comparison of the conjugate gradient method with preconditioner and the conjugate gradient method without preconditioned in terms of the number of iterations and execution time was carried out. © SGEM 2017. All Rights Reserved. |
Ключевые слова: | GRADIENT METHOD MULTICORE PROCESSORS PARALLEL ALGORITHMS PRECONDITIONER STRUCTURAL INVERSE GRAVITY PROBLEM CONJUGATE GRADIENT METHOD GRADIENT METHODS GRAVIMETERS INTEGRAL EQUATIONS NONLINEAR EQUATIONS PARALLEL ALGORITHMS PARALLEL PROCESSING SYSTEMS DIFFERENT DENSITIES MULTI-CORE PROCESSOR MULTIPROCESSOR COMPUTING SYSTEMS NUMBER OF ITERATIONS PARALLEL COMPUTING SYSTEM PRECONDITIONERS STRUCTURAL INVERSE GRAVITY PROBLEM SYSTEM OF NONLINEAR EQUATIONS INVERSE PROBLEMS |
URI: | http://elar.urfu.ru/handle/10995/75311 |
Условия доступа: | info:eu-repo/semantics/openAccess |
Конференция/семинар: | 17th International Multidisciplinary Scientific Geoconference, SGEM 2017 |
Дата конференции/семинара: | 29 June 2017 through 5 July 2017 |
Идентификатор SCOPUS: | 85032490614 |
Идентификатор PURE: | 6015561 |
ISSN: | 1314-2704 |
DOI: | 10.5593/sgem2017/14/S05.020 |
Сведения о поддержке: | This work was partly supported by the Ural Branch of the Russian Academy of Sciences (project no. 15-7-1-3) and partly by the Center of Excellence “Quantum and Video Information Technology” of the Ural Federal University Development Program. |
Располагается в коллекциях: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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