Алгоритмічно-програмний засіб для аналізу міцності будівельних конструкцій на паралельних комп’ютерах
The paper considers algorithmic and software tools for solving systems of linear algebraic equations with sparse matrices and approximate data on parallel computers of various architectures. This toolkit is used in the LIRA-cluster PC software, designed for calculation, res...
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| Date: | 2023 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2023
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| Subjects: | |
| Online Access: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/311 |
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| Journal Title: | Physico-mathematical modeling and informational technologies |
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Physico-mathematical modeling and informational technologies| Summary: | The paper considers algorithmic and software tools for solving systems of linear algebraic equations with sparse matrices and approximate data on parallel computers of various architectures. This toolkit is used in the LIRA-cluster PC software, designed for calculation, research and design of structures from various subject areas. The peculiarities of sparse matrices of large orders, which arise during numerical modeling of the strength of building structures, and effective methods of their ordering are considered. An original algorithm for solving linear systems with sparse matrices is proposed, the use of which significantly reduces the computing resources of parallel computers. The results of the simulation of the static calculation of the stress-strain state of the two-tower business center are presented. |
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