Regularized methods for solving nonlinear inverse gravity problem / Akimova E., Misilov V., Tretyakov A. // Geoinformatics 2016 - XVth International Conference on Geoinformatics - Theoretical and Applied Aspects. - 2016. - V. , l. .

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Conference Paper
Abstract:
Regularized variants of conjugate gradient and componentwise gradient methods for solving the three-dimensional nonlinear inverse gravity problem of finding the density interface were constructed. The algorithms were parallelized and implemented for multicore processors and GPUs. The model problem with noised synthetic data was solved. The comparison of the proposed methods and the local corrections method in terms of iteration number, execution time and error of the solution was carried out.
Author keywords:
Index keywords:
Gradient methods; Iterative methods; Program processors; Componentwise; Density interface; Iteration numbers; Local corrections; Model problems; Multi-core processor; Regularized method; Synthetic dat
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Affiliations Krasovskii Institute of Mathematics and Mechanics of UrB RAS, Yeltsin Ural Federal University, Russian Federation
Funding Details RAS, Royal Astronomical Society
Funding Text This work was supported by Program of UrB RAS, project 15-7-1-3.
References Akimova, E.N., Martyshko, P.S., Misilov, V.E., A fast parallel gradient algorithm for solving structural inverse gravity problem (2015) AIP Conference Proceedings, 1648, p. 850063. , http://dx.doi.org/10.1063/1.4913118; Akimova, E.N., Misilov, V.E., A fast componentwise gradient method for solving structural inverse gravity problem (2015) International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM, 3 (1), pp. 775-781. , http://www.sgem.org/sgemlib/spip.php?article5548; 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; Martyshko, P.S., Prutkin, I.L., Technology of depth distribution of gravity field sources (2003) Geophys. J., 25 (3), pp. 159-168; Numerov, B.V., Interpretation of gravitational observations in the case of one contact surface (1930) Doklady Akad. Nauk SSSR, pp. 569-574; Vasin, V.V., Irregular nonlinear operator equations: Tikhonov's regularization and iterative approximation (2013) Journal of Inverse and Ill-Posed Problems, 21 (1), pp. 109-123; Vasin, V.V., Eremin, I.I., Operators and iterative processes of Fejér type: Theory and applications (2009) Walter de Gruyter, p. 53
Correspondence Address Akimova, E.; Krasovskii Institute of Mathematics and Mechanics of UrB RAS, Yeltsin Ural Federal UniversityRussian Federation
Publisher European Association of Geoscientists and Engineers, EAGE
Conference name 15th International Conference on Geoinformatics: Theoretical and Applied Aspects, Geoinformatics 2016
Conference date 10 May 2016 through 13 May 2016
Conference code 127576
ISBN 9789462822146
Language of Original Document English
Abbreviated Source Title Geoinformatics - Int. Conf. Geoinformatics - Theor. Appl. Asp.
Source Scopus