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A Nitsche Hybrid Multiscale Method with Non-matching Grids
Ming, Pingbing1,2; Song, Siqi1,2
2022-05-01
Source PublicationJOURNAL OF SCIENTIFIC COMPUTING
ISSN0885-7474
Volume91Issue:2Pages:28
AbstractWe 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.
KeywordMultiscale PDE Hybrid method Nitsche variational formulation Non-matching grid
DOI10.1007/s10915-022-01817-8
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11971467]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000776088200002
PublisherSPRINGER/PLENUM PUBLISHERS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/60258
Collection中国科学院数学与系统科学研究院
Corresponding AuthorMing, Pingbing
Affiliation1.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
Recommended Citation
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.
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