Field-split iterative solver vs direct one for quasi-static Biot equation Научная публикация
| Конференция |
Суперкомпьютерные дни в России 2023 25-26 сент. 2023 , Москва |
||||
|---|---|---|---|---|---|
| Сборник | Supercomputing : 9th Russian Supercomputing Days, RuSCDays 2023, Moscow, Russia, September 25–26, 2023, Revised Selected Papers Сборник, Springer Cham. Switzerland.2023. 318 c. ISBN 978-3-031-49432-1. |
||||
| Журнал |
Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349 |
||||
| Вых. Данные | Год: 2023, Том: 14388, Страницы: 86-89 Страниц : 15 DOI: 10.1007/978-3-031-49432-1_7 | ||||
| Ключевые слова | Poroelasticity · Biot equation · quasi-static state · finite-differences · iterative methods · SLAE direct solvers · field-split preconditioner · scalability | ||||
| Авторы |
|
||||
| Организации |
|
Информация о финансировании (1)
| 1 | Российский научный фонд | 22-11-00104 |
Реферат:
Using the Biot equation in scope of the frequency domain and quasi-static state, we can model low-frequency loading and obtain strain-stress relations that vary with frequency for fluid-filled poroelastic materials. To solve the linear algebraic equations resulting from the finite difference discrectisation of the Biot equation, we propose an approach based on the BCSGStab iterative solver and a preconditioner technique based on a field-split approach. In this study, we calculate the approximate amount of floating point operations needed for the suggested technique as well as a direct method. Despite the direct solver’s superior OMPscalability over the iterative one, numerical experiments show that the iterative technique quickly converges and is advantageous for big Biot problems.
Библиографическая ссылка:
Solovyev S.
, Lisitsa V.
Field-split iterative solver vs direct one for quasi-static Biot equation
В сборнике Supercomputing : 9th Russian Supercomputing Days, RuSCDays 2023, Moscow, Russia, September 25–26, 2023, Revised Selected Papers. – Springer Cham., 2023. – Т.Part I. – C.86-89. – ISBN 978-3-031-49432-1. DOI: 10.1007/978-3-031-49432-1_7 Scopus OpenAlex
Field-split iterative solver vs direct one for quasi-static Biot equation
В сборнике Supercomputing : 9th Russian Supercomputing Days, RuSCDays 2023, Moscow, Russia, September 25–26, 2023, Revised Selected Papers. – Springer Cham., 2023. – Т.Part I. – C.86-89. – ISBN 978-3-031-49432-1. DOI: 10.1007/978-3-031-49432-1_7 Scopus OpenAlex
Даты:
| Опубликована в печати: | 1 дек. 2023 г. |
| Опубликована online: | 5 янв. 2024 г. |
Идентификаторы БД:
| Scopus: | 2-s2.0-85182608373 |
| OpenAlex: | W4390594809 |