A Nitsche Hybrid Multiscale Method with Non-matching Grids

doi:10.1007/s10915-022-01817-8

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	A Nitsche Hybrid Multiscale Method with Non-matching Grids
	Ming, Pingbing 1,2; Song, Siqi 1,2
	2022-05-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	91 期号:2 页码:28
摘要	We propose a Nitsche method for multiscale partial differential equations, which retrieves the macroscopic information and the local microscopic information at one stroke. We prove the convergence of the method for second order elliptic problem with bounded and measurable coefficients. The rate of convergence may be derived for coefficients with further structures such as periodicity and ergodicity. Extensive numerical results confirm the theoretical predictions.
关键词	Multiscale PDE Hybrid method Nitsche variational formulation Non-matching grid
DOI	10.1007/s10915-022-01817-8
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11971467]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000776088200002
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60258
专题	中国科学院数学与系统科学研究院
通讯作者	Ming, Pingbing
作者单位	1.Chinese Acad Sci, Inst Computat Math & Sci Engn Comp, AMSS, LSEC, 55 East Rd Zhong Guan Cun, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
推荐引用方式 GB/T 7714	Ming, Pingbing,Song, Siqi. A Nitsche Hybrid Multiscale Method with Non-matching Grids[J]. JOURNAL OF SCIENTIFIC COMPUTING,2022,91(2):28.
APA	Ming, Pingbing,&Song, Siqi.(2022).A Nitsche Hybrid Multiscale Method with Non-matching Grids.JOURNAL OF SCIENTIFIC COMPUTING,91(2),28.
MLA	Ming, Pingbing,et al."A Nitsche Hybrid Multiscale Method with Non-matching Grids".JOURNAL OF SCIENTIFIC COMPUTING 91.2(2022):28.