Numerical Analysis and Applications

, Volume 6, Issue 2, pp 98–110 | Cite as

Algorithms for solving inverse geophysical problems on parallel computing systems

  • E. N. Akimova
  • D. V. Belousov
  • V. E. Misilov


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.


inverse gravimetry problems parallel algorithms direct and iterative methods parallel computing systems 


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Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  • E. N. Akimova
    • 1
    • 2
  • D. V. Belousov
    • 1
    • 2
  • V. E. Misilov
    • 1
  1. 1.Institute of Mathematics and Mechanics, Ural BranchRussian Academy of SciencesYekaterinburgRussia
  2. 2.Ural Federal UniversityYekaterinburgRussia

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