Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System
文献类型：期刊论文
| 作者 | Ding, Qianqian1,4; Long, Xiaonian2,4; Mao, Shipeng3,4 |
| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
 |
| 出版日期 | 2021-09-01 |
| 卷号 | 88期号:3页码:24 |
| 关键词 | Magnetohydrodynamic Magnetic vector potential Finite element method Error estimates |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-021-01571-3 |
| 英文摘要 | We investigate a fully discrete finite element scheme for the three-dimensional incompressible magnetohydrodynamic problem based on magnetic vector potential formulation that was introduced in Hiptmair et al. (MMMAS 28:659-695, 2018). The formulation enjoys the novel feature that it can always produce an exactly divergence-free magnetic induction discretized solution. Using a mixed finite element approach, we discretize the model by the fully discrete semi-implicit Euler scheme with the velocity and the pressure approximated by stable MINI finite elements and the magnetic vector potential by Nedelec edge elements. Under a reasonable regularity hypothesis for the exact solution, error estimates for the velocity and the magnetic vector potential are rigorously established. Finally, several numerical experiments are presented to illustrate the convergence properties of the numerical scheme. |
| 资助项目 | China Postdoctoral Science Foundation[2021M691951] ; National Natural Science Foundation of China[11871467] ; Major State Research Development Program of China[2016YFB0201304] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000692729000001 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59239]  |
| 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.Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450047, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Enginnering Comp, LSEC,NCMIS, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ding, Qianqian,Long, Xiaonian,Mao, Shipeng. Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System[J]. JOURNAL OF SCIENTIFIC COMPUTING,2021,88(3):24. |
| APA | Ding, Qianqian,Long, Xiaonian,&Mao, Shipeng.(2021).Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System.JOURNAL OF SCIENTIFIC COMPUTING,88(3),24. |
| MLA | Ding, Qianqian,et al."Error Estimate of a Fully Discrete Finite Element Method for Incompressible Vector Potential Magnetohydrodynamic System".JOURNAL OF SCIENTIFIC COMPUTING 88.3(2021):24. |
入库方式： OAI收割
来源：数学与系统科学研究院
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