Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations

doi:10.1007/s10915-020-01288-9

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations
	Dai, Xiaoying 2,3; Kuang, Xiong 2,3; Xin, Jack 1; Zhou, Aihui 2,3
刊名	JOURNAL OF SCIENTIFIC COMPUTING
	2020-08-29
卷号	84 期号:3 页码:27
关键词	Proper orthogonal decomposition Galerkin projection Error indicator Adaptive Two grid
ISSN号	0885-7474
DOI	10.1007/s10915-020-01288-9
英文摘要	In this article, we propose a two-grid based adaptive proper orthogonal decomposition (POD) method to solve the time dependent partial differential equations. Based on the error obtained in the coarse grid, we propose an error indicator for the numerical solution obtained in the fine grid. Our new method is cheap and easy to be implement. We apply our new method to the solution of time-dependent advection-diffusion equations with the Kolmogorov flow and the ABC flow. The numerical results show that our method is more efficient than the existing POD methods.
资助项目	National Key Research and Development Program of China[2019YFA0709601] ; National Natural Science Foundation of China[91730302] ; National Natural Science Foundation of China[11671389] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS010] ; NSF[IIS-1632935] ; NSF[DMS-1854434]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000563635700001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/52036]
专题	计算数学与科学工程计算研究所
通讯作者	Dai, Xiaoying
作者单位	1.Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Dai, Xiaoying,Kuang, Xiong,Xin, Jack,et al. Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations[J]. JOURNAL OF SCIENTIFIC COMPUTING,2020,84(3):27.
APA	Dai, Xiaoying,Kuang, Xiong,Xin, Jack,&Zhou, Aihui.(2020).Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations.JOURNAL OF SCIENTIFIC COMPUTING,84(3),27.
MLA	Dai, Xiaoying,et al."Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations".JOURNAL OF SCIENTIFIC COMPUTING 84.3(2020):27.