A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS

doi:10.1137/22M1483475

	A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS
	Ma, Chuwen 1,2; Zhang, Qinghai 3; Zheng, Weiying 1,4
刊名	SIAM JOURNAL ON NUMERICAL ANALYSIS
	2022
卷号	60 期号:4 页码:2203-2224
关键词	unfitted characteristic finite element methods time-varying domains moving boundary problems the advection-diffusion equation fourth-order error estimates
ISSN号	0036-1429
DOI	10.1137/22M1483475
英文摘要	We propose a fourth-order unfitted characteristic finite element method to solve the advection-diffusion equation on time-varying domains. Based on a characteristic-Galerkin formulamethod for interface tracking, the fourth-order backward differentiation formula for temporal integration, and an unfitted finite element method for spatial discretization. Our convergence analysis includes errors of discretely representing the moving boundary, tracing boundary markers, and the spatial discretization and the temporal integration of the governing equation. Numerical experiments are performed on a rotating domain and a severely deformed domain to verify our theoretical results and to demonstrate the optimal convergence of the proposed method.
资助项目	National Key R\&D Program of China[2019YFA0709600] ; National Key R\&D Program of China[2019YFA0709602] ; NSF[11871429] ; NSF[11725106] ; National Science Fund for Distinguished Young Scholars[11831016]
WOS研究方向	Mathematics
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000862256800009
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60959]
专题	中国科学院数学与系统科学研究院
通讯作者	Ma, Chuwen
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China 3.Zhejiang Univ, Sch Math Sci, 38 Zheda Rd, Hangzhou 310027, Zhejiang, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC,NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ma, Chuwen,Zhang, Qinghai,Zheng, Weiying. A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2022,60(4):2203-2224.
APA	Ma, Chuwen,Zhang, Qinghai,&Zheng, Weiying.(2022).A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS.SIAM JOURNAL ON NUMERICAL ANALYSIS,60(4),2203-2224.
MLA	Ma, Chuwen,et al."A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS".SIAM JOURNAL ON NUMERICAL ANALYSIS 60.4(2022):2203-2224.