Field-split iterative solver vs direct one for quasi-static Biot equation Full article
| Conference |
Суперкомпьютерные дни в России 2023 25-26 Sep 2023 , Москва |
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| Source | Supercomputing : 9th Russian Supercomputing Days, RuSCDays 2023, Moscow, Russia, September 25–26, 2023, Revised Selected Papers Compilation, Springer Cham. Switzerland.2023. 318 c. ISBN 978-3-031-49432-1. |
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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: 14388, Pages: 86-89 Pages count : 15 DOI: 10.1007/978-3-031-49432-1_7 | ||||
| Tags | Poroelasticity · Biot equation · quasi-static state · finite-differences · iterative methods · SLAE direct solvers · field-split preconditioner · scalability | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 22-11-00104 |
Abstract:
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.
Cite:
Solovyev S.
, Lisitsa V.
Field-split iterative solver vs direct one for quasi-static Biot equation
In compilation 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
In compilation 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
Dates:
| Published print: | Dec 1, 2023 |
| Published online: | Jan 5, 2024 |
Identifiers:
| Scopus: | 2-s2.0-85182608373 |
| OpenAlex: | W4390594809 |