Field-Split Iterative Solver for Quasi-Static Biot Equation Full article
| Conference |
The International Conference on Computational Sciences and its Applications 03-06 Jul 2023 , Athens |
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| Source | Computational Science and Its Applications – ICCSA 2023 Workshops
Athens, Greece, July 3–6, 2023, Proceedings Compilation, Springer. 2023. ISBN 9783031371103. |
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| Journal |
Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349 |
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| Output data | Year: 2023, Volume: 14106, Pages: 45-58 Pages count : 14 DOI: 10.1007/978-3-031-37111-0_4 | ||||
| Tags | Poroelasticity wave-induced uid ow Biot equation quasi-static state nite di erences direct methods for SLAE iterative methods eld-split preconditioner | ||||
| Authors |
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| Affiliations |
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Funding (2)
| 1 | Russian Science Foundation | 19-77-20004 |
| 2 | Institute of Petroleum Geology and Geophysics | FWZZ-2022-0022 |
Abstract:
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.
Cite:
Solovyev S.
, Novikov M.
, Lisitsa V.
Field-Split Iterative Solver for Quasi-Static Biot Equation
In compilation 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
Field-Split Iterative Solver for Quasi-Static Biot Equation
In compilation 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
Dates:
| Published print: | Jun 29, 2023 |
| Published online: | Jun 29, 2023 |
Identifiers:
| Scopus: | 2-s2.0-85165048239 |
| OpenAlex: | W4382366798 |
Citing:
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