Two-scale sparse finite element approximations

doi:10.1007/s11425-015-5064-7

CSpace

	Two-scale sparse finite element approximations
	Liu Fang 1; Zhu JinWei 2
	2016-04-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	59 期号:4 页码:789-808
摘要	To reduce computational cost, we study some two-scale finite element approximations on sparse grids for elliptic partial differential equations of second order in a general setting. Over any tensor product domain Omega aS, R (d) with d = 2, 3, we construct the two-scale finite element approximations for both boundary value and eigenvalue problems by using a Boolean sum of some existing finite element approximations on a coarse grid and some univariate fine grids and hence they are cheaper approximations. As applications, we obtain some new efficient finite element discretizations for the two classes of problem: The new two-scale finite element approximation on a sparse grid not only has the less degrees of freedom but also achieves a good accuracy of approximation.
关键词	combination discretization eigenvalue finite element postprocessing two-scale
DOI	10.1007/s11425-015-5064-7
语种	英语
资助项目	National Natural Science Foundation of China[10971059] ; National Natural Science Foundation of China[11071265] ; National Natural Science Foundation of China[11171232] ; Funds for Creative Research Groups of China[11021101] ; National Basic Research Program of China[2011CB309703] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences ; Program for Innovation Research in Central University of Finance and Economics
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000372159900013
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22318
专题	中国科学院数学与系统科学研究院
通讯作者	Liu Fang
作者单位	1.Cent Univ Finance & Econ, Sch Stat & Math, Beijing 100081, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu Fang,Zhu JinWei. Two-scale sparse finite element approximations[J]. SCIENCE CHINA-MATHEMATICS,2016,59(4):789-808.
APA	Liu Fang,&Zhu JinWei.(2016).Two-scale sparse finite element approximations.SCIENCE CHINA-MATHEMATICS,59(4),789-808.
MLA	Liu Fang,et al."Two-scale sparse finite element approximations".SCIENCE CHINA-MATHEMATICS 59.4(2016):789-808.