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Field-Split Iterative Solver for Quasi-Static Biot Equation Научная публикация

Конференция The International Conference on Computational Sciences and its Applications
03-06 июл. 2023 , Athens
Сборник Computational Science and Its Applications – ICCSA 2023 Workshops Athens, Greece, July 3–6, 2023, Proceedings
Сборник, Springer. 2023. ISBN 9783031371103.
Журнал Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349
Вых. Данные Год: 2023, Том: 14106, Страницы: 45-58 Страниц : 14 DOI: 10.1007/978-3-031-37111-0_4
Ключевые слова Poroelasticity wave-induced uid ow Biot equation quasi-static state nite di erences direct methods for SLAE iterative methods eld-split preconditioner
Авторы Solovyev Sergey 1 , Novikov Mikhail 1 , Lisitsa Vadim 2
Организации
1 Institute of Mathematics SB RAS, Novosibirsk, Russia
2 Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk, Russia

Информация о финансировании (2)

1 Российский научный фонд 19-77-20004
2 Институт нефтегазовой геологии и геофизики им. А. А. Трофимука СО РАН FWZZ-2022-0022

Реферат: Frequency domain Biot equation in quasi-static state can be applied to model low-frequency loading of uid- lled poroelastic materials and estimate e ective frequency-dependent strain-stress relations. We propose an algorithm of solving the system of linear algebraic equations (SLAE) obtained from nite-di erence approximation of Biot equations. Thealgorithm involves the Biconjugate Gradient Stabilized (BICGSTAB) iterative solver with a eld-split preconditioner technique. In this paper, we estimate the number of oating-point operations required for both the proposed algorithm and direct approach. Performed numerical experiments demonstrate the fast convergence of the iterative process and con rm performance and memory usage bene ts of the suggested approach compared to the direct method.
Библиографическая ссылка: Solovyev S. , Novikov M. , Lisitsa V.
Field-Split Iterative Solver for Quasi-Static Biot Equation
В сборнике Computational Science and Its Applications – ICCSA 2023 Workshops Athens, Greece, July 3–6, 2023, Proceedings. – Springer., 2023. – Т.Part III. – C.45-58. – ISBN 9783031371103. DOI: 10.1007/978-3-031-37111-0_4 Scopus OpenAlex
Даты:
Опубликована в печати: 29 июн. 2023 г.
Опубликована online: 29 июн. 2023 г.
Идентификаторы БД:
Scopus: 2-s2.0-85165048239
OpenAlex: W4382366798
Цитирование в БД: Пока нет цитирований
Альметрики: