Optimal long time error estimates of a second-order decoupled finite element method for the Stokes-Darcy problem

被引：1
作者：
Guo, Liming [1 ]
机构：
[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 134卷
基金：
中国国家自然科学基金;
关键词：
Stokes-Darcy problem; Stokes-Darcy problem Second-order backward differentiation formula; Error estimates; COUPLING FLUID-FLOW; JOSEPH; BEAVERS; EFFICIENT; SCHEMES; STEPS;
D O I：
10.1016/j.cnsns.2024.108024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a second -order decoupled finite element method based on lagging a part of the interfacial coupling terms for the time dependent Stokes-Darcy problem, which only need to solve two sub -physical problems sequentially. Under a modest time step restriction dt <= C (physical parameters), the optimal long time error estimates are obtained both in the L 2 norm and in the H 1 norm. Numerical results are provided to illustrate the convergence rate O ( dt 2 ) of the temporal approximation.
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页数：17
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