A decoupled stabilized finite element method for the time-dependent Navier-Stokes/Biot problem

被引：0
|
作者：
Guo, Liming [1 ]
Chen, Wenbin [2 ,3 ]
机构：
[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang, Peoples R China
[2] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China
[3] Fudan Univ, Shanghai Key Lab Math Nonlinear Sci, Shanghai, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 17期
基金：
美国国家科学基金会;
关键词：
error estimates; Navier-Stokes; Biot problem; stability; stabilized finite element method; DOMAIN DECOMPOSITION METHODS; LOCAL GAUSS INTEGRATIONS; ERROR ANALYSIS; FLUID-FLOW; 2ND-ORDER; CONVERGENCE; APPROXIMATION; PARALLEL; SCHEME;
D O I：
10.1002/mma.8416
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a decoupled stabilized finite element method for the time-dependent Navier-Stokes/Biot problem by using the lowest equal-order finite elements. The coupling problem is divided into two subproblems which can be solved in parallel: One is the Navier-Stokes model by treating the nonlinear term explicitly, and the other is the Biot model. In the numerical scheme, we use the implicit backward Euler method in time, while treat the coupling terms explicitly. The stability analysis and error estimates are established for the proposed fully discrete scheme. Numerical results are provided to justify the theory.
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页码：10749 / 10774
页数：26
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