An optimally convergent adaptive mixed finite element method

doi:10.1007/s00211-008-0180-8

	An optimally convergent adaptive mixed finite element method
	Becker, Roland 1; Mao, Shipeng2
	2008-11-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	111 期号:1 页码:35-54
摘要	We prove convergence and optimal complexity of an adaptive mixed finite element algorithm, based on the lowest-order Raviart-Thomas finite element space. In each step of the algorithm, the local refinement is either performed using simple edge residuals or a data oscillation term, depending on an adaptive marking strategy. The inexact solution of the discrete system is controlled by an adaptive stopping criterion related to the estimator.
DOI	10.1007/s00211-008-0180-8
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000260184800002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6046
专题	计算数学与科学工程计算研究所
通讯作者	Becker, Roland
作者单位	1.Univ Pau, Lab Math Appl, F-64013 Pau, France 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Becker, Roland,Mao, Shipeng. An optimally convergent adaptive mixed finite element method[J]. NUMERISCHE MATHEMATIK,2008,111(1):35-54.
APA	Becker, Roland,&Mao, Shipeng.(2008).An optimally convergent adaptive mixed finite element method.NUMERISCHE MATHEMATIK,111(1),35-54.
MLA	Becker, Roland,et al."An optimally convergent adaptive mixed finite element method".NUMERISCHE MATHEMATIK 111.1(2008):35-54.