非定常Stokes问题的矩形Crouzeix-Raviart型各向异性非协调元变网格方法

Acta mathematica scientia,Series A

• Articles • Previous Articles Next Articles

Rectangular Crouzeix-raviart Anisotropic Finite Element Method for Nonstationary Stokes Problem with Moving Grids

Shi Dongyang; Zhang Yiran

Department of Mathematics, Zhengzhou University, Zhengzhou 450052

Received:2004-09-18 Revised:2006-01-10 Online:2006-10-25 Published:2006-10-25
Contact: Shi Dongyang

Abstract

Abstract:

This paper is devoted to the study of rectangular Crouzeix-Raviart anisotropic finite element method with moving grids for velocity-pressure mixed formulations of the nonstationary Stokes problem in 2-D. Anisotropic error estimations of the velocity and the pressure are derived based on some novel techniques.

Key words: Stokes problem, Anisotropy, Rectangular Crouzeix-Raviart typ element, Moving grids, Optimal error estimate

CLC Number:

65N30

Shi Dongyang; Zhang Yiran.

Rectangular Crouzeix-raviart Anisotropic Finite Element Method for Nonstationary Stokes Problem with Moving Grids

[1]	Fang Zhichao, Li Hong, Luo Zhendong, Liu Yang. Mixed Finite Volume Element Method and Numerical Simulation for Sine-Gordon Equation [J]. Acta mathematica scientia,Series A, 2018, 38(2): 395-416.
[2]	Wen Juan, He Yinnian, Huang Pengzhan, Li Min. Numerical Investigations on Several Stabilized Finite Element Methods for the Navier-Stokes Problem [J]. Acta mathematica scientia,Series A, 2016, 36(3): 543-557.
[3]	WEN Juan, HE Yin-Nian, WANG Xue-Min, HUO Mi-Hui. TWO-LEVEL MULTISCALE FINITE ELEMENT METHODS FOR THE STEADY NAVIER-STOKES PROBLEM [J]. Acta mathematica scientia,Series A, 2014, 34(3): 960-972.
[4]	SHI Dong-Yang, YU Zhi-Yun. Superclose and Superconvergence Analysis of a Low Order Nonconforming Mixed Finite Element Method for Stationary Stokes Equations with Damping [J]. Acta mathematica scientia,Series A, 2013, 33(4): 735-745.
[5]	FANG Zhi-Chao, LI Hong, LUO Zhen-Dong. A Mixed Covolume Method for Pseudo-Hyperbolic Equation [J]. Acta mathematica scientia,Series A, 2013, 33(3): 535-550.
[6]	HE Siriguleng, LI Hong. Mixed Space--time Discontinuous Galerkin Method for Elastodynamics [J]. Acta mathematica scientia,Series A, 2012, 32(6): 1179-1190.

Rectangular Crouzeix-raviart Anisotropic Finite Element Method for Nonstationary Stokes Problem with Moving Grids

PDF (PC)

Abstract

Cite this article

share this article

References

Related Articles 6

Metrics

Comments

Recommended 10