Достовірність комп’ютерних розв’язків при дослідженні власних коливань
The paper examines the reliability of the results of numerical modeling of natural oscillations of  structures and buildings on computers with parallel organization of calculations. Based on the analysis of the finite element method for the discretization of problems about...
Збережено в:
| Дата: | 2023 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | Українська |
| Опубліковано: |
Інститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
2023
|
| Теми: | |
| Онлайн доступ: | https://www.fmmit.lviv.ua/index.php/fmmit/article/view/312 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Physico-mathematical modeling and informational technologies |
| Завантажити файл: |  |
Репозитарії
Physico-mathematical modeling and informational technologies| Резюме: | The paper examines the reliability of the results of numerical modeling of natural oscillations of  structures and buildings on computers with parallel organization of calculations. Based on the analysis of the finite element method for the discretization of problems about natural oscillations, methods of computer research of mathematical properties, solving and reliability research of the solutions of the partial generalized algebraic eigenvalue problem (AEP), which arises as a result of discretization, a posteriori estimates of errors of eigenvalues and eigenvectors of a generalized problem with symmetric matrices, one of which is positive definite, were obtained. Reasoned algorithms (which use a variable bit rate) for solving by subspace iteration method of a partial generalized AEP and a posteriori computer research of its solutions are proposed. |
|---|