Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system

doi:10.1007/s10444-022-09964-0

	Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system
	Ding, Qianqian 1; Mao, Shipeng 2; Sun, Jiaao 2
刊名	ADVANCES IN COMPUTATIONAL MATHEMATICS
	2022-10-01
卷号	48 期号:5 页码:23
关键词	Magnetohydrodynamics Finite element method H(div)-conforming element Error analysis Pressure-robust
ISSN号	1019-7168
DOI	10.1007/s10444-022-09964-0
英文摘要	In this paper, we focus on pressure-robust analysis of a mixed finite element method for the numerical discretization of nonstationary magnetohydrodynamics system. The velocity field is discretized by divergence-conforming Raviart-Thomas spaces with interior penalties, and the magnetic equation is approximated by curl-conforming Nedelec edge elements. The main feature of the method is that it produces exactly divergence-free velocity approximation, and captures the strongest magnetic singularities. The results show that the proposed scheme meets a discrete unconditional energy stability and the numerical solution is well-posedness. In addition, a priori error estimates are given, in which the constants are independent of the Reynolds number. Finally, we provide several numerical results illustrating the good performance of the scheme and confirming the theoretical rates of convergence.
资助项目	Natural Science Foundation of China[11871467] ; Natural Science Foundation of China[12161141017] ; Shandong Province Natural Science Foundation[ZR2021QA054] ; China Postdoctoral Science Foundation[2021M691951]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000841753800001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/61078]
专题	中国科学院数学与系统科学研究院
通讯作者	Mao, Shipeng
作者单位	1.Shandong Univ, Sch Math, Jinan 250100, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Univ Chinese Acad Sci, Sch Math Sci,NCMIS,LSEC,Inst Computat Math & Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ding, Qianqian,Mao, Shipeng,Sun, Jiaao. Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2022,48(5):23.
APA	Ding, Qianqian,Mao, Shipeng,&Sun, Jiaao.(2022).Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system.ADVANCES IN COMPUTATIONAL MATHEMATICS,48(5),23.
MLA	Ding, Qianqian,et al."Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system".ADVANCES IN COMPUTATIONAL MATHEMATICS 48.5(2022):23.