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Volume 14, Number 6, 2024, Pages -                                                                DOI:10.11948/JAAC-2023-0495
A finite element iterative algorithm of the steady-state fluid-fluid interaction problem
Ying Zhang,Ziqiong Chen,Pengzhan Huang
Keywords:Finite element method, Fluid-fluid interaction, Iterative algorithm
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.
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