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POSTPROCESSED TWO-SCALE FINITE ELEMENT DISCRETIZATIONS, PART I

文献类型：期刊论文

作者Liu, Fang1; Stynes, Martin2; Zhou, Aihui3
刊名SIAM JOURNAL ON NUMERICAL ANALYSIS
出版日期2011
卷号49期号:5页码:1947-1971
关键词combination discretization eigenvalue finite element postprocessing two-scale
ISSN号0036-1429
DOI10.1137/11082292X
英文摘要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.
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
语种英语
WOS记录号WOS:000296605600010
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/11903]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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