EXPLICIT ERROR ESTIMATES FOR MIXED AND NONCONFORMING FINITE ELEMENTS

	EXPLICIT ERROR ESTIMATES FOR MIXED AND NONCONFORMING FINITE ELEMENTS
	Shipeng Mao; ZhongCi Shi
	2009
发表期刊	Journal of Computational Mathematics
ISSN	0254-9409
卷号	27 期号:4 页码:425
摘要	In this paper, we study the explicit expressions of the constants in the error estimates of the lowest order mixed and nonconforming finite element methods. We start with an ex-plicit relation between the error constant of the lowest order Raviart-Thomas interpolation error and the geometric characters of the triangle. This gives an explicit error constant of the lowest order mixed finite element method. Furthermore, similar results can be ex-tended to the nonconforming P1 scheme based on its close connection with the lowest order Raviart-Thomas method. Meanwhile, such explicit a priori error estimates can be used as computable error bounds, which are also consistent with the maximal angle condition for the optimal error estimates of mixed and nonconforming finite element methods.Mathematics subject classification: 65N12, 65N15, 65N30, 65N50.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8236
专题	计算数学与科学工程计算研究所
作者单位	中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Shipeng Mao,ZhongCi Shi. EXPLICIT ERROR ESTIMATES FOR MIXED AND NONCONFORMING FINITE ELEMENTS[J]. Journal of Computational Mathematics,2009,27(4):425.
APA	Shipeng Mao,&ZhongCi Shi.(2009).EXPLICIT ERROR ESTIMATES FOR MIXED AND NONCONFORMING FINITE ELEMENTS.Journal of Computational Mathematics,27(4),425.
MLA	Shipeng Mao,et al."EXPLICIT ERROR ESTIMATES FOR MIXED AND NONCONFORMING FINITE ELEMENTS".Journal of Computational Mathematics 27.4(2009):425.