A two-level stabilized nonconforming finite element method for the stationary Navier-Stokes equations

Liping Zhu; Zhangxin Chen

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A two-level stabilized nonconforming finite element method for the stationary Navier-Stokes equations

机译：平稳Navier-Stokes方程的两级稳定非协调有限元方法

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摘要

In this paper, we study an approximation scheme that combines a stabilized nonconforming finite element method and a two-level method to solve the stationary Navier-Stokes equations. Error estimates of optimal order are obtained. Numerical results to check these estimates are presented.

机译：在本文中，我们研究了一种近似方案，该方案结合了稳定的非协调有限元方法和两级方法来求解稳定的Navier-Stokes方程。获得最佳顺序的误差估计。给出了检查这些估计的数值结果。

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《Mathematics and computers in simulation》 |2015年第8期|37-48|共12页
作者
Liping Zhu; Zhangxin Chen;
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作者单位

College of Science, Xi'an University of Architecture and Technology, Xi'an 710054, China;

Center for Computational Geoscience, School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China,Department of Chemical & Petroleum Engineering, Schulich School of Engineering, University of Calgary, 2500 University Drive N. W., Calgary, Alberta T2N 1N4, Canada;

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正文语种 eng
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关键词
Navier-Stokes equations; Two-level; Nonconforming finite element method; Error estimate; Numerical results;

机译：Navier-Stokes方程;两级;非协调有限元方法;误差估计;数值结果;

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1. Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations [J] . TongZhang, ShunweiXu, JienDeng Abstract and applied analysis . 2012,第2期

机译：平稳Navier-Stokes方程的稳定多尺度非协调有限元方法
2. A new local stabilized nonconforming finite element method for solving stationary Navier-Stokes equations [J] . Zhu, L., Li, J., Chen, Z. Journal of Computational and Applied Mathematics . 2011,第8期

机译：求解稳定的Navier-Stokes方程的新的局部稳定非协调有限元方法
3. Two-level defect-correction Oseen iterative stabilized finite element methods for the stationary Navier-Stokes equations [J] . Pengzhan Huang, Xinlong Feng, Yinnian He Applied Mathematical Modelling . 2013,第3期

机译：平稳Navier-Stokes方程的两级缺陷校正Oseen迭代稳定有限元方法
4. A Two-Level Stabilized Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations [C] . Liping Zhu, Zhangxin Chen International Conference on High Performance Computing and Applications . 2010

机译：静止Navier-Stokes方程的双层稳定的不合格有限元方法
5. Mixed finite element methods for the Stokes and Navier-Stokes equations. [D] . Wang, Chunbo. 2007

机译：Stokes和Navier-Stokes方程的混合有限元方法。
6. A Crank–Nicolson finite spectral element method for the 2D non-stationary Stokes equations about vorticity–stream functions [O] . Yanjie Zhou, Zhendong Luo, Fei Teng -1

机译：关于涡旋-流函数的二维非平稳斯托克斯方程的Crank-Nicolson有限谱元方法
7. Stabilized Multiscale Nonconforming Finite Element Method for the Stationary Navier-Stokes Equations [O] . Tong Zhang, Shunwei Xu, Jien Deng 2012

机译：稳定的多尺度不合格有限元方法，用于固定Navier-Stokes方程
8. Two-level Schwartz methods for nonconforming finite elements and discontinuous coefficients [R] . Sarkis, Marcus 1993

机译：用于非协调有限元和不连续系数的两级schwartz方法

A two-level stabilized nonconforming finite element method for the stationary Navier-Stokes equations

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