中文版 | English
Title

AN ITERATIVE DECOUPLED ALGORITHM WITH UNCONDITIONAL STABILITY FOR BIOT MODEL

Author
Corresponding AuthorGu, Huipeng
Publication Years
2023
DOI
Source Title
ISSN
0025-5718
EISSN
1088-6842
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.
Keywords
URL[Source Record]
Indexed By
Language
English
SUSTech Authorship
First ; Corresponding
Funding Project
NSF of China[11971221] ; Guangdong NSF Major Fund[2021ZDZX1001] ; Shenzhen Sci-Tech Fund["RCJC20200714114556020","JCYJ20200109115422828","JCYJ20190809150413261"] ; NIH BUILD grant[UL1GM118973] ; NIH-RCMI grant[U54MD013376] ; XSEDE HPC resource[TG-MCH200022] ; National Science Foundation["1700328","1831950"]
WOS Research Area
Mathematics
WOS Subject
Mathematics, Applied
WOS Accession No
WOS:000925249100001
Publisher
ESI Research Field
MATHEMATICS
Data Source
Web of Science
Citation statistics
Cited Times [WOS]:1
Document TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/490009
DepartmentDepartment of Mathematics
Affiliation
1.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Guangdong, Peoples R China
2.Morgan State Univ, Dept Math, Baltimore, MD 21251 USA
3.Southern Univ Sci & Technol, Natl Ctr Appl Math Shenzhen, SUSTech Int Ctr Math, Dept Math, Shenzhen 518055, Peoples R China
First Author AffilicationDepartment of Mathematics
Corresponding Author AffilicationDepartment of Mathematics
First Author's First AffilicationDepartment of Mathematics
Recommended Citation
GB/T 7714
Gu, Huipeng,Cai, Mingchao,LI, Jingzhi. AN ITERATIVE DECOUPLED ALGORITHM WITH UNCONDITIONAL STABILITY FOR BIOT MODEL[J]. MATHEMATICS OF COMPUTATION,2023.
APA
Gu, Huipeng,Cai, Mingchao,&LI, Jingzhi.(2023).AN ITERATIVE DECOUPLED ALGORITHM WITH UNCONDITIONAL STABILITY FOR BIOT MODEL.MATHEMATICS OF COMPUTATION.
MLA
Gu, Huipeng,et al."AN ITERATIVE DECOUPLED ALGORITHM WITH UNCONDITIONAL STABILITY FOR BIOT MODEL".MATHEMATICS OF COMPUTATION (2023).
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