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 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.
Key words:inverse gravimetry problems, parallel algorithms, direct and iterative methods, parallel computing systems.