Numerical Investigations on Several Stabilized Finite Element Methods for the Stokes Eigenvalue Problem

Pengzhan Huang; Yinnian He; Xinlong Feng

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Numerical Investigations on Several Stabilized Finite Element Methods for the Stokes Eigenvalue Problem

机译：Stokes特征值问题的几种稳定有限元方法的数值研究

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Several stabilized finite element methods for the Stokes eigenvalue problem based on the lowest equal-order finite element pair are numerically investigated. They are penalty, regular, multiscale enrichment, and local Gauss integration method. Comparisons between them are carried out, which show that the local Gauss integration method has good stability, efficiency, and accuracy properties, and it is a favorite method among these methods for the Stokes eigenvalue problem.

机译：数值研究了基于最低等阶有限元对的Stokes特征值问题的几种稳定有限元方法。它们是惩罚，常规，多尺度富集和局部高斯积分方法。进行了比较，结果表明局部高斯积分方法具有良好的稳定性，效率和准确性，是斯托克斯特征值问题中最常用的方法。

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来源
《Mathematical Problems in Engineering》 |2011年第3期|p.1-14|共14页
作者
Pengzhan Huang; Yinnian He; Xinlong Feng;
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College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China,Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China;

College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China;

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1. Numerical Investigations on Several Stabilized Finite Element Methods for the Stokes Eigenvalue Problem [J] . PengzhanHuang, YinnianHe, XinlongFeng Mathematical Problems in Engineering: Theory, Methods and Applications . 2011,第3期

机译：Stokes特征值问题的几种稳定有限元方法的数值研究
2. Lower and upper bounds of Stokes eigenvalue problem based on stabilized finite element methods [J] . Huang Pengzhan Calcolo . 2015,第1期

机译：基于稳定有限元方法的斯托克斯特征值问题的上下界
3. THE TWO-LEVEL STABILIZED FINITE ELEMENT METHOD BASED ON MULTISCALE ENRICHMENT FOR THE STOKES EIGENVALUE PROBLEM [J] . Juan WEN, Pengzhan HUANC, Ya-Ling HE 数学物理学报（英文版） . 2021,第002期

机译：基于多尺度富集的斯托克斯特征值问题的两级稳定有限元法
4. A New Approach to Solve the Stokes-Darcy-Transport System Applying Stabilized Finite Element Methods [C] . Iury Igreja International Conference on Computational Science . 2019

机译：稳定有限元法求解斯托克斯-达西-运输系统的新方法
5. Finite element method for the numerical solution of the Stokes problem with mixed boundary conditions in a rectangular domain [D] . Gutierrez Moreno, Liana Iveth 2009

机译：矩形区域内混合边界条件斯托克斯问题数值解的有限元方法
6. Error estimates of finite element methods for fractional stochastic Navier–Stokes equations [O] . Xiaocui Li, Xiaoyuan Yang -1

机译：分数阶随机Navier–Stokes方程的有限元方法的误差估计
7. A stabilized finite element method for the two-field and three-field Stokes eigenvalue problems [O] . Turk, Onder, Boffi, Daniele, Codina, Ramon 2018

机译：两场和三场stokes特征值问题的稳定有限元方法

Numerical Investigations on Several Stabilized Finite Element Methods for the Stokes Eigenvalue Problem

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