An iterative decoupled algorithm with unconditional stability for Biot model
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- by Huipeng Gu, Mingchao Cai and Jingzhi Li;
- Math. Comp. 92 (2023), 1087-1108
- DOI: https://doi.org/10.1090/mcom/3809
- Published electronically: January 25, 2023
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Abstract:
This paper is concerned with numerical algorithms for Biot model. By introducing an intermediate variable, the classical 2-field Biot model is written into a 3-field formulation. Based on such a 3-field formulation, we propose a coupled algorithm, some time-extrapolation based decoupled algorithms, and an iterative decoupled algorithm. Our focus is the analysis of the iterative decoupled algorithm. It is shown that the convergence of the iterative decoupled algorithm requires no extra assumptions on physical parameters or stabilization parameters. Numerical experiments are provided to demonstrate the accuracy and efficiency of the proposed method.References
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Bibliographic Information
- Huipeng Gu
- Affiliation: Department of Mathematics, Southern University of Science and Technology, Shenzhen, Guangdong 518055, People’s Republic of China
- Email: 12131226@mail.sustech.edu.cn
- Mingchao Cai
- Affiliation: Department of Mathematics, Morgan State University, Baltimore, Maryland 21251
- MR Author ID: 724403
- ORCID: 0000-0001-7410-5807
- Email: cmchao2005@gmail.com
- Jingzhi Li
- Affiliation: Department of Mathematics, National Center for Applied Mathematics Shenzhen, SUSTech International Center for Mathematics, Southern University of Science and Technology, Shenzhen 518055, People’s Republic of China
- Email: li.jz@sustech.edu.cn
- Received by editor(s): September 9, 2021
- Received by editor(s) in revised form: October 5, 2022
- Published electronically: January 25, 2023
- Additional Notes: The work of the first and third authors was partially supported by the NSF of China No. 11971221, Guangdong NSF Major Fund No. 2021ZDZX1001, the Shenzhen Sci-Tech Fund No. RCJC20200714114556020, JCYJ20200109115422828 and JCYJ20190809150413261, National Center for Applied Mathematics Shenzhen, and SUSTech International Center for Mathematics. The second author was supported by NIH BUILD grant through UL1GM118973, NIH-RCMI grant through U54MD013376, XSEDE HPC resource TG-MCH200022, and the National Science Foundation awards (1700328, 1831950).
- © Copyright 2023 American Mathematical Society
- Journal: Math. Comp. 92 (2023), 1087-1108
- MSC (2020): Primary 65N30, 65N45, 65N15; Secondary 65Pxx
- DOI: https://doi.org/10.1090/mcom/3809
- MathSciNet review: 4550321