A fast componentwise gradient method for solving structural inverse gravity problem / Akimova E.N., Misilov V.E. // International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM. - 2015. - V. 3, l. 1. - P. 775-781.

ISSN:

13142704

Type:

Conference Paper

Abstract:

One of the most important geophysical problems is reconstructing a density interface using known gravitational data. This problem is described by a nonlinear integral Fredholm equation of the first kind. After the discretization the problem is reduced to solving a system of nonlinear equations. The real gravity measurements are carried out over a large area producing large-scale grids. Processing of gravity data is time consuming and requires a lot of memory. So it is necessary to develop parallel algorithms for parallel computing systems. In this paper, for solving the inverse gravity problem, a new efficient componentwise gradient method with damping factor is constructed. The parallel algorithm was developed and numerically implemented on the multicore processor incorporated in the Uran parallel computing system at the Institute of Mathematics and Mechanics of the Ural Branch of RAS, Yekaterinburg. The structural gravity problem with real data was solved. The comparison of the new method with the linearized conjugate gradient and local corrections methods in terms of the number of iterations and execution time was carried out. © SGEM2015.

Author keywords:

Gradient methods; Multicore processors; Parallel algorithms; Structural inverse gravity problem

Index keywords:

Algorithms; Conjugate gradient method; Data handling; Gradient methods; Gravitation; Integral equations; Nonlinear equations; Parallel algorithms; Parallel processing systems; Remote sensing; Gravity

DOI:

нет данных

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84946575571&partnerID=40&md5=131508dc0a61df61dba80c0d9cd3a2fa

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Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84946575571&partnerID=40&md5=131508dc0a61df61dba80c0d9cd3a2fa
Affiliations	Krasovskii Institute of Mathematics and Mechanics, Ural Branch of RAS, Yekaterinburg, Russian Federation; Yeltsin Ural Federal University, Yekaterinburg, Russian Federation
Author Keywords	Gradient methods; Multicore processors; Parallel algorithms; Structural inverse gravity problem
References	Numerov, B.V., Interpretation of gravitational observations in the case of one contact surface (1930) Doklady Akad. Nauk SSSR, pp. 569-574. , USSR; Akimova, E.N., Martyshko, P.S., Misilov, V.E., A fast parallel gradient algorithm for solving structural inverse gravity problem (2015) AIP Conf. Proc, 1648; Akimova, E.N., Martyshko, P.S., Misilov, V.E., Parallel algorithms for solving structural inverse magnetometry problem on multucore and graphics processors (2014) Proc. of 14th International multidisciplinary scientific GeoConference SGEM 2014, 1, pp. 713-720. , Bulgaria; Martyshko, P.S., Ladovskii, I.V., Tsidaev, A.G., Construction of regional geophysical models based on the joint interpretation of gravity and seismic data (2010) Izvestiya, Physics of the Solid Earth, 46 (11), pp. 931-942. , Russia; Martyshko, P.S., Prutkin, I.L., Technology of separation of gravitational field sources in depth (2003) Geofiz. Zh, Russia, 25 (3), pp. 159-168; Gilbert, J.C., Nocedal, J., Global convergence properties of conjugate gradient methods for optimization (1992) SIAM Journal on optimization, 2 (1), pp. 21-42. , USA; Kaltenbacher, B., Neubauer, A., Scherzer, O., Iterative regularization methods for nonlinear ill-posed problems (2008) Walter de Gruyter, 6. , Germany
Publisher	International Multidisciplinary Scientific Geoconference
Conference name	15th International Multidisciplinary Scientific Geoconference and EXPO, SGEM 2015
Conference date	18 June 2015 through 24 June 2015
Conference code	153999
Language of Original Document	English
Abbreviated Source Title	Int. Multidisciplinary Sci. Geoconf. Surveying Geology Mining Ecology Manage., SGEM
Source	Scopus