A FINITE ELEMENT ITERATIVE ALGORITHM OF THE STEADY-STATE FLUID-FLUID INTERACTION PROBLEM

Ying Zhang; Ziqiong Chen; Pengzhan Huang

doi:10.11948/20230495

2024 Volume 14 Issue 6

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Ying Zhang, Ziqiong Chen, Pengzhan Huang. A FINITE ELEMENT ITERATIVE ALGORITHM OF THE STEADY-STATE FLUID-FLUID INTERACTION PROBLEM[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3214-3226. doi: 10.11948/20230495

Citation:

Ying Zhang, Ziqiong Chen, Pengzhan Huang. A FINITE ELEMENT ITERATIVE ALGORITHM OF THE STEADY-STATE FLUID-FLUID INTERACTION PROBLEM[J]. Journal of Applied Analysis & Computation, 2024, 14(6): 3214-3226. doi: 10.11948/20230495

A FINITE ELEMENT ITERATIVE ALGORITHM OF THE STEADY-STATE FLUID-FLUID INTERACTION PROBLEM

1.
College of Mathematics and System Sciences, Xinjiang University, Urumqi 830017, China

Author Bio: Email: zhangying@xju.edu.cn(Y. Zhang); Email: chenziqiong@xju.edu.cn(Z. Chen)
Corresponding author: Email: hpzh@xju.edu.cn(P. Huang)
Fund Project: The authors were supported by the Natural Science Foundation of China (grant number 12361077), Natural Science Foundation of Xinjiang Uygur Autonomous Region (grant number 2023D14014) and Undergraduate Innovative Training Plan Program of China (grant number 202210755081)

Abstract

Abstract

In this work, we propose a finite element iterative algorithm to solve the stationary fluid-fluid interaction model. First, we give the finite element discretization for the considered equations. Due that the finite element discretization system is nonlinear, then we design an iterative algorithm for solving the nonlinear equations, where error correction strategy is used to control iterative error at each iteration. Finally, some numerical tests are carried out to demonstrate theoretical results of the proposed algorithm.
- Finite element method /
- error correction strategy /
- iterative algorithm
MSC: 65N30

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References

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