A STABILIZED EQUAL-ORDER FINITE VOLUME METHOD FOR THE STOKES EQUATIONS

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	A STABILIZED EQUAL-ORDER FINITE VOLUME METHOD FOR THE STOKES EQUATIONS
其他题名	A STABILIZED EQUAL-ORDER FINITE VOLUME METHOD FOR THE STOKES EQUATIONS
	Tian Wanfu 1; Song Liqiu 2; Li Yonghai 3
	2012
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	30 期号:6 页码:615-628
摘要	We construct a new stabilized finite volume method on rectangular grids for the Stokes equations. The lowest equal-order conforming finite element pair (piecewise bilinear velocities and pressures) and piecewise constant test spaces for both the velocity and pressure are employed in this method. We show the stability of this method and prove first optimal rate of convergence for the velocity in the H-1 norm and the pressure in the L-2 norm. In addition, a second order optimal error estimate for the velocity in the L-2 norm is derived. Numerical experiments illustrating the theoretical results are included.
其他摘要	We construct a new stabilized finite volume method on rectangular grids for the Stokes equations. The lowest equal-order conforming finite element pair (piecewise bilinear velocities and pressures) and piecewise constant test spaces for both the velocity and pressure are employed in this method. We show the stability of this method and prove first optimal rate of convergence for the velocity in the H~1 norm and the pressure in the L~2 norm. In addition, a second order optimal error estimate for the velocity in the L~2 norm is derived. Numerical experiments illustrating the theoretical results are included.
关键词	GENERALIZED DIFFERENCE-METHODS ELEMENT METHODS INCOMPRESSIBLE-FLOW COVOLUME METHOD Stokes equations Equal-order finite element pair Finite volume method Error estimate
收录类别	CSCD
语种	英语
资助项目	[985 program of Jilin University] ; [National Natural Science Foundation of China]
CSCD记录号	CSCD:4707995
引用统计
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/150262
专题	中国科学院金属研究所
作者单位	1.中国科学院金属研究所 2.中山大学 3.吉林大学
推荐引用方式 GB/T 7714	Tian Wanfu,Song Liqiu,Li Yonghai. A STABILIZED EQUAL-ORDER FINITE VOLUME METHOD FOR THE STOKES EQUATIONS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2012,30(6):615-628.
APA	Tian Wanfu,Song Liqiu,&Li Yonghai.(2012).A STABILIZED EQUAL-ORDER FINITE VOLUME METHOD FOR THE STOKES EQUATIONS.JOURNAL OF COMPUTATIONAL MATHEMATICS,30(6),615-628.
MLA	Tian Wanfu,et al."A STABILIZED EQUAL-ORDER FINITE VOLUME METHOD FOR THE STOKES EQUATIONS".JOURNAL OF COMPUTATIONAL MATHEMATICS 30.6(2012):615-628.