Iterative schemes for the non-homogeneous Navier-Stokes equations based on the finite element approximation

被引：4
|
作者：
Wang, Kun [1 ,2 ]
机构：
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
[2] Chongqing Univ, Inst Comp & Data Sci, Chongqing 400044, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2016年 / 71卷 / 01期
关键词：
Navier-Stokes equations; Non-homogeneous boundary condition; Stability and convergence analysis; Iterative scheme; Finite element method; NICOLSON/ADAMS-BASHFORTH SCHEME; CONVERGENCE; FLOW;
D O I：
10.1016/j.camwa.2015.11.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the stability and convergence of three iterative schemes for the non-homogeneous steady Navier-Stokes equations. As a nonlinear problem, we will get a nonlinear discrete system if approximating the non-homogeneous Navier-Stokes equations. After proving the stability and error estimates of the finite element method for the non-homogeneous Navier-Stokes equations, three iterative schemes are investigated for solving the resulted nonlinear discrete system. The stability and convergence conditions for these iterative methods are also analyzed, respectively. Furthermore, new results for the stop criterion are proved. Finally, we show some numerical experiments to illustrate the theoretical prediction. (C) 2015 Elsevier Ltd. All rights reserved.
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页码：120 / 132
页数：13
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