Convergence of a new parallel algorithm for the Navier-Stokes equations

被引：7
|
作者：
Feng, Xinlong [1 ,2 ]
He, Yinnian [1 ]
机构：
[1] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Shanxi, Peoples R China
[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 01期
关键词：
Navier-Stokes equations; parallel algorithm; fractional step methods; error estimation; FINITE-ELEMENT APPROXIMATION; INCOMPRESSIBLE VISCOUS-FLOW; FRACTIONAL-STEP SCHEMES; PROJECTION METHODS; DISCRETIZATION;
D O I：
10.1016/j.nonrwa.2007.08.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the convergence and stability of a new parallel algorithm and the error estimates for a particular case of the new parallel algorithm, which is used to solve the incompressible nonstationary Navier-Stokes equations. The theoretical results show that the scheme is (at least) conditionally stable and convergent. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：23 / 41
页数：19
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