Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients

doi:10.32604/cmes.2019.04804

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	Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients
	Lundberg, Andrew 1; Sun, Pengtao 1; Wang, Cheng 2; Zhang, Chen-song 3,4
	2019
发表期刊	CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
ISSN	1526-1492
卷号	119 期号:1 页码:35-62
摘要	The distributed Lagrange multiplier/fictitious domain (DLM/FD)-mixed finite element method is developed and analyzed in this paper for a transient Stokes interface problem with jump coefficients. The semi- and fully discrete DLM/FD-mixed finite element scheme are developed for the first time for this problem with a moving interface, where the arbitrary Lagrangian-Eulerian (ALE) technique is employed to deal with the moving and immersed subdomain. Stability and optimal convergence properties are obtained for both schemes. Numerical experiments are carried out for different scenarios of jump coefficients, and all theoretical results are validated.
关键词	Transient Stokes interface problem jump coefficients distributed Lagrange multiplier fictitious domain method mixed finite element an optimal error estimate stability
DOI	10.32604/cmes.2019.04804
语种	英语
资助项目	NSF[DMS-1418806] ; National Key Research and Development Program of China[2016YFB0201304] ; Major Research Plan of National Natural Science Foundation of China[91430215] ; Major Research Plan of National Natural Science Foundation of China[91530323] ; Key Research Program of Frontier Sciences of CAS
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000465501300003
出版者	TECH 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/34674
专题	中国科学院数学与系统科学研究院
通讯作者	Sun, Pengtao
作者单位	1.Univ Nevada, Dept Math Sci, 4505 Maryland Pkwy, Las Vegas, NV 89154 USA 2.Tongji Univ, Sch Math Sci, Shanghai, Peoples R China 3.Acad Math & Syst Sci, LSEC, Beijing, Peoples R China 4.Acad Math & Syst Sci, NCMIS, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Lundberg, Andrew,Sun, Pengtao,Wang, Cheng,et al. Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2019,119(1):35-62.
APA	Lundberg, Andrew,Sun, Pengtao,Wang, Cheng,&Zhang, Chen-song.(2019).Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,119(1),35-62.
MLA	Lundberg, Andrew,et al."Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 119.1(2019):35-62.