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Title of Article

SOLUTION OF ILL-CONDITIONED SYMMETRIC SLAE FOR STRUCTURAL MECHANICS PROBLEMS BY PARALLEL ITERATIVE METHODS


Issue
4
Date
2012

Article type
scientific article
UDC
519.612
Pages
238-246
Keywords
structural mechanics problems, system of linear algebraic equations, iterative methods, incomplete triangular factorization, parallel computing, message passing interface (MPI), multithreading, the Lomonosov supercomputer


Authors
Yakushev Vladimir Lavrentevich
Institut avtomatizatsii proektirovaniya RAN, Moskva

Simbirkin Valeriy Nikolaevich
OOO «Evrosoft», Moskva

Filimonov Anton Valerevich
Institut avtomatizatsii proektirovaniya RAN, Moskva, OOO «Evrosoft», Moskva

Novikov Pavel Aleksandrovich
Institut avtomatizatsii proektirovaniya RAN, Moskva

Konshin Igor Nikolaevich
Vychislitelnyy tsentr im. A.A. Dorodnitsyna RAN, Moskva, OOO «TESIS», Moskva

Sushko Gennadiy Borisovich
OOO «TESIS», Moskva

Kharchenko Sergey Aleksandrovich
Vychislitelnyy tsentr im. A.A. Dorodnitsyna RAN, Moskva, OOO «TESIS», Moskva


Abstract
The results of numerical experiments using the iterative methods are presented for the solution of ill-conditioned symmetric SLAE for a number of structural mechanics problems. The second order incomplete triangular factorization has been used to construct preconditionings. MPI and TBB technologies have been exploited to parallelize computations. Numerical experiments in different parallel regimes have been performed on the Lomonosov supercomputer.

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