An efficient algorithm for solving the gravity problem of finding a density in a horizontal layer / Akimova E.N., Martyshko P.S., Misilov V.E., Kosivets R.A. // AIP Conference Proceedings. - 2016. - V. 1738, l. .

ISSN:

0094243X

Type:

Conference Paper

Abstract:

An efficient algorithm for solving the inverse gravity problem of finding a variable density in a horizontal layer using gravitational data is constructed. After the discretization and approximation, the problem reduces to solving a system of linear algebraic equations. The idea of this algorithm is based on exploiting the block-Toeplitz structure of coefficients matrix. Utilizing this algorithm drastically reduces the memory usage, as well as the computation time. The algorithm was parallelized and implemented using the Uran supercomputer. A model problem with synthetic gravitational data was solved. © 2016 Author(s).

Author keywords:

gradient method; Inverse gravity problem; multicore processor; parallel algorithm

Index keywords:

нет данных

DOI:

10.1063/1.4951875

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984568837&doi=10.1063%2f1.4951875&partnerID=40&md5=bb5ce8aeb21b37be28d2cfb72bb6efa5

Соавторы в МНС:

Другие поля

Поле	Значение
Art. No.	110006
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-84984568837&doi=10.1063%2f1.4951875&partnerID=40&md5=bb5ce8aeb21b37be28d2cfb72bb6efa5
Affiliations	Krasovskii Institute of Mathematics and Mechanics, Ural Branch, RAS, Yekaterinburg, Russian Federation; Bulashevich Institute of Geophysics, Ural Branch, RAS, Yekaterinburg, Russian Federation; Yeltsin Ural Federal University, Yekaterinburg, Russian Federation
Author Keywords	gradient method; Inverse gravity problem; multicore processor; parallel algorithm
References	Martyshko, P.S., Prutkin, I.L., Technology of depth distribution of gravitational field sources (2003) Geofiz. Zh, 25 (3), pp. 159-168. , (in Russian); Martyshko, P.S., Vasin, V.V., Akimova, E.N., Pyankov, V.A., On a complex interpretation of gravitational and magnetovariational data (evidence from Bashkir Urals) (2007) Geofizika, 4, pp. 30-36. , (in Russian); Akimova, E.N., Gemaydinov, D.V., Parallel algorithms for solving a gravity problem of finding a density in a layer (2007) Trudy Inst. Mat. Mech. UrB RAS, 13 (3), pp. 3-21. , Russian; Vasin, V.V., Eremin, I.I., Operators and iterative processes of Fejér type: Theory and applications (2009) Walter de Gruyter, 53
Editors	Simos T.E.Simos T.E.Tsitouras C.Simos T.E.
Publisher	American Institute of Physics Inc.
Conference name	International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015
Conference date	23 September 2015 through 29 September 2015
Conference code	122034
ISBN	9780735413924
Language of Original Document	English
Abbreviated Source Title	AIP Conf. Proc.
Source	Scopus