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Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system
Ding, Qianqian1; Mao, Shipeng2; Sun, Jiaao2
2022-10-01
发表期刊ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN1019-7168
卷号48期号:5页码:23
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.
关键词Magnetohydrodynamics Finite element method H(div)-conforming element Error analysis Pressure-robust
DOI10.1007/s10444-022-09964-0
收录类别SCI
语种英语
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
WOS类目Mathematics, Applied
WOS记录号WOS:000841753800001
出版者SPRINGER
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/61079
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
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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.
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