POSTPROCESSED TWO-SCALE FINITE ELEMENT DISCRETIZATIONS, PART I

doi:10.1137/11082292X

	POSTPROCESSED TWO-SCALE FINITE ELEMENT DISCRETIZATIONS, PART I
	Liu, Fang 1; Stynes, Martin 2; Zhou, Aihui3
	2011
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	49 期号:5 页码:1947-1971
摘要	This paper studies a simple postprocessing of two-scale finite element discretizations of elliptic partial differential operators, where boundary value problems and eigenvalue problems on tensor-product domains Omega subset of R-d are both examined and conforming piecewise d-linear elements are used. For d >= 2, suppose that the two-scale method is applied using a coarse mesh and some univariate fine meshes satisfying H = O(h(2/3)), where h and H are the fine and coarse mesh widths. It is shown for both classes of problem that the postprocessed two-scale finite element solution achieves the same order of accuracy in the H-1(Omega) norm as the postprocessed standard finite element solution, but the former solution uses only O(h-((2d+1)/3)) degrees of freedom compared with the O(h(-d)) degrees of freedom required by the latter.
关键词	combination discretization eigenvalue finite element postprocessing two-scale
DOI	10.1137/11082292X
语种	英语
资助项目	National Natural Science Foundation of China[10701083] ; National Natural Science Foundation of China[10871198] ; National Natural Science Foundation of China[10971059] ; National Natural Science Foundation of China[11071265] ; Funds for Creative Research Groups of China[11021101] ; National Basic Research Program of China[2011CB309703] ; Boole Centre for Research in Informatics at the National University of Ireland Cork ; State Key Laboratory of Scientific and Engineering Computing at the Institute of Computational Mathematics and Scientific/Engineering Computing of the Chinese Academy of Sciences in Beijing
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000296605600010
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11904
专题	计算数学与科学工程计算研究所
通讯作者	Liu, Fang
作者单位	1.Cent Univ Finance & Econ, Sch Appl Math, Beijing 100081, Peoples R China 2.Natl Univ Ireland, Dept Math, Cork, Ireland 3.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	Liu, Fang,Stynes, Martin,Zhou, Aihui. POSTPROCESSED TWO-SCALE FINITE ELEMENT DISCRETIZATIONS, PART I[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2011,49(5):1947-1971.
APA	Liu, Fang,Stynes, Martin,&Zhou, Aihui.(2011).POSTPROCESSED TWO-SCALE FINITE ELEMENT DISCRETIZATIONS, PART I.SIAM JOURNAL ON NUMERICAL ANALYSIS,49(5),1947-1971.
MLA	Liu, Fang,et al."POSTPROCESSED TWO-SCALE FINITE ELEMENT DISCRETIZATIONS, PART I".SIAM JOURNAL ON NUMERICAL ANALYSIS 49.5(2011):1947-1971.