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Title of Article

PARALLEL VERSION OF THE BLOCK ANALYTICAL-NUMERICAL METHOD FOR COUPLED WAVE VIBROACOUSTIC PROBLEMS


Issue
5
Date
2009

Article type
scientific article
UDC
517.93
Pages
211-218
Keywords
analytical methods, parallel computing, approximation, fundamental systems of Helmholtz equation


Authors
Volkov-Bogorodskiy D.B.
Institut prikladnoy mekhaniki RAN, Moskva

Kharchenko S.A.
Vychislitelnyy tsentr im. A.A. Dorodnitsyna RAN, Moskva


Abstract
Parallel algorithms are developed which realize the analytical method for solving boundary problems of continuum mechanics, as applied to coupled wave vibroacoustic problems. The basis of the developing analytical method are the solutions which exactly satisfy the initial differential equation system in subdomains (blocks). The analytical structure of the solutions in blocks, which are formed on the basis of Helmholtz equation fundamental solutions, allows one to resolve the complex structure of the general solution with account of its analytical peculiarities and with high accuracy. In this way, the problem arises to form and solve a block system of linear equations which requires large computing resources. Parallel computing is effectively used in formation and solving the arising block system of equations.

File (in Russian)