Algorithms for solving inverse geophysical problems on parallel computing systems
Copyright policy )Algorithms for solving inverse geophysical problems on parallel computing systems
Summary: For solving inverse gravimetry problems, efficient stable parallel algorithms based on iterative gradient methods are proposed. For solving systems of linear algebraic equations with block-tridiagonal matrices arising in geoelectrics problems, a parallel matrix sweep algorithm, a square root method, and a conjugate gradient method with preconditioner are proposed. The algorithms are implemented numerically on the MVS-IMM parallel computing system, NVIDIA graphics processors, and the Intel multi-core CPU with the use of new computing technologies. The parallel algorithms are incorporated into a developed system of remote computations `Specialized web-portal for solving geophysical problems on multiprocessor computers.' Problems with `quasi-model' and real data are solved.
- Russian Academy of Sciences Russian Federation
- FEDERAL STATE AUTONOMOUS EDUCATIONAL INSTITUTION OF HIGHER PROFESSIONAL EDUCATION NOTHERN (ARCTIC) FEDERAL UNIVERSITY Russian Federation
- Ural Federal University Russian Federation
Iterative numerical methods for linear systems, PARALLEL COMPUTING SYSTEM, square root method, preconditioner, Inverse problems for integral equations, parallel computing system, ITERATIVE GRADIENTS, Numerical methods for integral equations, algorithms, Gravitational waves, MATRIX ALGEBRA, iterative method, parallel algorithm, SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS, Preconditioners for iterative methods, matrix sweep algorithm, ALGEBRA, inverse gravimetry problem, GRAVIMETERS, ITERATIVE METHODS, LINEAR EQUATIONS, COMPUTING TECHNOLOGY, direct method, PARALLEL ARCHITECTURES, DIRECT AND ITERATIVE METHODS, Parallel numerical computation, MULTIPROCESSOR COMPUTERS, PROBLEM SOLVING, CONJUGATE GRADIENT METHOD, MICROPROCESSOR CHIPS, DIRECT AND ITERATIVE METHOD, PARALLEL COMPUTING SYSTEMS, REMOTE COMPUTATIONS, Ill-posedness and regularization problems in numerical linear algebra, conjugate gradient method, INVERSE GRAVIMETRY PROBLEMS, Computational methods for problems pertaining to relativity and gravitational theory, GEOPHYSICS, Numerical methods for inverse problems for integral equations, PARALLEL ALGORITHMS, INVERSE PROBLEMS, gradient methods
Iterative numerical methods for linear systems, PARALLEL COMPUTING SYSTEM, square root method, preconditioner, Inverse problems for integral equations, parallel computing system, ITERATIVE GRADIENTS, Numerical methods for integral equations, algorithms, Gravitational waves, MATRIX ALGEBRA, iterative method, parallel algorithm, SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS, Preconditioners for iterative methods, matrix sweep algorithm, ALGEBRA, inverse gravimetry problem, GRAVIMETERS, ITERATIVE METHODS, LINEAR EQUATIONS, COMPUTING TECHNOLOGY, direct method, PARALLEL ARCHITECTURES, DIRECT AND ITERATIVE METHODS, Parallel numerical computation, MULTIPROCESSOR COMPUTERS, PROBLEM SOLVING, CONJUGATE GRADIENT METHOD, MICROPROCESSOR CHIPS, DIRECT AND ITERATIVE METHOD, PARALLEL COMPUTING SYSTEMS, REMOTE COMPUTATIONS, Ill-posedness and regularization problems in numerical linear algebra, conjugate gradient method, INVERSE GRAVIMETRY PROBLEMS, Computational methods for problems pertaining to relativity and gravitational theory, GEOPHYSICS, Numerical methods for inverse problems for integral equations, PARALLEL ALGORITHMS, INVERSE PROBLEMS, gradient methods
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