KMS Of Academy of mathematics and systems sciences, CAS
Stochastic Collocation on Unstructured Multivariate Meshes | |
Narayan, Akil1; 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. |
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