Superconvergence by L2-projection for a stabilized finite volume method for the stationary Navier-Stokes equations

被引：11
|
作者：
Huang, Pengzhan [1 ]
Zhang, Tong [2 ,3 ]
Ma, Xiaoling [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
[2] Xi An Jiao Tong Univ, Fac Sci, Xian 710049, Peoples R China
[3] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454003, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2011年 / 62卷 / 11期
关键词：
Superconvergence; L-2-projection; Stabilized finite volume method; Navier-Stokes equations; ELEMENT-METHOD; GLOBAL SUPERCONVERGENCE; REGULARITY;
D O I：
10.1016/j.camwa.2011.10.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A superconvergence result is established for the stationary Navier-Stokes equations by a stabilized finite volume method and L-2-projection on a coarse mesh. Like other results in the family of L-2-projection methods, the superconvergence presented in this paper is based on some regularity assumption for the Navier-Stokes problem and is applicable to the stabilized finite volume method with quasi-uniform partitions. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：4249 / 4257
页数：9
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