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Algorithms for solving inverse geophysical problems on parallel computing systems
Abstract
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 a parallel computing system of the Institute of Mathematics and Mechanics (PCS-IMM), NVIDIA graphics processors, and an Intel multi-core CPU with some new computing technologies. The parallel algorithms are incorporated into a system of remote computations entitled "Specialized Web-Portal for Solving Geophysical Problems on Multiprocessor Computers." Some problems with "quasi-model" and real data are solved. © 2013 Pleiades Publishing, Ltd- Article
- info:eu-repo/semantics/publishedVersion
- info:eu-repo/semantics/article
- DIRECT AND ITERATIVE METHODS
- INVERSE GRAVIMETRY PROBLEMS
- PARALLEL ALGORITHMS
- PARALLEL COMPUTING SYSTEMS
- COMPUTING TECHNOLOGY
- DIRECT AND ITERATIVE METHOD
- INVERSE GRAVIMETRY PROBLEMS
- ITERATIVE GRADIENTS
- MULTIPROCESSOR COMPUTERS
- PARALLEL COMPUTING SYSTEM
- REMOTE COMPUTATIONS
- SYSTEMS OF LINEAR ALGEBRAIC EQUATIONS
- ALGEBRA
- CONJUGATE GRADIENT METHOD
- GEOPHYSICS
- GRAVIMETERS
- INVERSE PROBLEMS
- ITERATIVE METHODS
- LINEAR EQUATIONS
- MATRIX ALGEBRA
- MICROPROCESSOR CHIPS
- PARALLEL ALGORITHMS
- PARALLEL ARCHITECTURES
- PROBLEM SOLVING