Please use this identifier to cite or link to this item: http://hdl.handle.net/10995/75311
Title: Gradient method with preconditioner for solving nonlinear inverse gravimetry problem
Authors: Akimova, E. N.
Misilov, V. E.
Issue Date: 2017
Publisher: International Multidisciplinary Scientific Geoconference
Citation: 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.
Abstract: 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.
Keywords: 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://hdl.handle.net/10995/75311
metadata.dc.rights: info:eu-repo/semantics/openAccess
Conference name: 17th International Multidisciplinary Scientific Geoconference, SGEM 2017
Conference date: 29 June 2017 through 5 July 2017
SCOPUS ID: 85032490614
PURE ID: 6015561
ISSN: 1314-2704
DOI: 10.5593/sgem2017/14/S05.020
metadata.dc.description.sponsorship: 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.
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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