A new error correction method for the stationary Navier-Stokes equations based on two local Gauss integrations

被引：0
作者：
Yun-Bo Yang
Qiong-Xiang Kong
机构：
[1] Xi’an Jiao-tong University,School of Mathematics and Statistics
[2] Xi’an Jiaotong University,School of Human Settlements and Civil Engineering
来源：
Applications of Mathematics | 2017年 / 62卷
关键词：
Navier-Stokes equation; finite element method; variational multiscale; two local Gauss integrations; error correction method; 65N15; 65N30; 65N12;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new error correction method for the stationary Navier-Stokes equations based on two local Gauss integrations is presented. Applying the orthogonal projection technique, we introduce two local Gauss integrations as a stabilizing term in the error correction method, and derive a new error correction method. In both the coarse solution computation step and the error computation step, a locally stabilizing term based on two local Gauss integrations is introduced. The stability and convergence of the new error correction algorithm are established. Numerical examples are also presented to verify the theoretical analysis and demonstrate the efficiency of the proposed method.
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页码：75 / 100
页数：25
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