Two-scale Boolean Galerkin discretizations for Fredholm integral equations of the second kind

doi:10.1137/050633007

	Two-scale Boolean Galerkin discretizations for Fredholm integral equations of the second kind
	Liu, Fang ; Zhou, Aihui
	2007
发表期刊	SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN	0036-1429
卷号	45 期号:1 页码:296-312
摘要	In this paper, some two-scale Boolean Galerkin discretizations are proposed and analyzed for a class of Fredholm integral equations of the second kind in multidimensions. It is shown by both theory and numerics that this type of multiscale discretization algorithm not only significantly reduces the number of degrees of freedom but also produces very accurate approximations.
关键词	Boolean Galerkin discretization Fredholm integral equation multidimension two-scale
DOI	10.1137/050633007
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000244631600015
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/4424
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.Chinese Acad Sci, LSEC, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Liu, Fang,Zhou, Aihui. Two-scale Boolean Galerkin discretizations for Fredholm integral equations of the second kind[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2007,45(1):296-312.
APA	Liu, Fang,&Zhou, Aihui.(2007).Two-scale Boolean Galerkin discretizations for Fredholm integral equations of the second kind.SIAM JOURNAL ON NUMERICAL ANALYSIS,45(1),296-312.
MLA	Liu, Fang,et al."Two-scale Boolean Galerkin discretizations for Fredholm integral equations of the second kind".SIAM JOURNAL ON NUMERICAL ANALYSIS 45.1(2007):296-312.