Stochastic Collocation on Unstructured Multivariate Meshes

doi:10.4208/cicp.020215.070515a

	Stochastic Collocation on Unstructured Multivariate Meshes
	Narayan, Akil 1; Zhou, Tao2
	2015-07-01
发表期刊	COMMUNICATIONS IN COMPUTATIONAL PHYSICS
ISSN	1815-2406
卷号	18 期号:1 页码:1-36
摘要	Collocation has become a standard tool for approximation of parameterized systems in the uncertainty quantification (UQ) community. Techniques for least-squares regularization, compressive sampling recovery, and interpolatory reconstruction are becoming standard tools used in a variety of applications. Selection of a collocation mesh is frequently a challenge, but methods that construct geometrically unstructured collocation meshes have shown great potential due to attractive theoretical properties and direct, simple generation and implementation. We investigate properties of these meshes, presenting stability and accuracy results that can be used as guides for generating stochastic collocation grids in multiple dimensions.
关键词	Stochastic collocation unstructured methes least-squares compressive sampling least interpolation
DOI	10.4208/cicp.020215.070515a
语种	英语
资助项目	National Natural Science Foundation of China[91130003] ; National Natural Science Foundation of China[11201461]
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000358018600001
出版者	GLOBAL 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/20323
专题	计算数学与科学工程计算研究所
通讯作者	Zhou, Tao
作者单位	1.Univ Utah, Sci Comp & Imaging Inst, Salt Lake City, UT 84112 USA 2.Chinese Acad Sci, AMSS, LSEC, Inst Computat Math & Sci Engn Comp, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Narayan, Akil,Zhou, Tao. Stochastic Collocation on Unstructured Multivariate Meshes[J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS,2015,18(1):1-36.
APA	Narayan, Akil,&Zhou, Tao.(2015).Stochastic Collocation on Unstructured Multivariate Meshes.COMMUNICATIONS IN COMPUTATIONAL PHYSICS,18(1),1-36.
MLA	Narayan, Akil,et al."Stochastic Collocation on Unstructured Multivariate Meshes".COMMUNICATIONS IN COMPUTATIONAL PHYSICS 18.1(2015):1-36.