MONOLITHIC MULTIGRID FOR REDUCED MAGNETOHYDRODYNAMIC EQUATIONS
文献类型：期刊论文
| 作者 | Zhang, Xiaodi; Zheng, Weiying1 |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2021 |
| 卷号 | 39期号:3页码:453-470 |
| 关键词 | Monolithic multigrid Magnetohydrodynamic equations Diagonal Braess-Sarazin smoother Finite element method |
| ISSN号 | 0254-9409 |
| DOI | 10.4208/jcm.2006-m2020-0071 |
| 英文摘要 | In this paper, the monolithic multigrid method is investigated for reduced magnetohydrodynamic equations. We propose a diagonal Braess-Sarazin smoother for the finite element discrete system and prove the uniform convergence of the MMG method with respect to mesh sizes. A multigrid-preconditioned FGMRES method is proposed to solve the magnetohydrodynamic equations. It turns out to be robust for relatively large physical parameters. By extensive numerical experiments, we demonstrate the optimality of the monolithic multigrid method with respect to the number of degrees of freedom. |
| 资助项目 | National Science Fund for Distinguished Young Scholars[11725106] ; China NSF[11831016] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000637949000007 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58448]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zheng, Weiying |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Comp, LSEC,NCMIS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Xiaodi,Zheng, Weiying. MONOLITHIC MULTIGRID FOR REDUCED MAGNETOHYDRODYNAMIC EQUATIONS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2021,39(3):453-470. |
| APA | Zhang, Xiaodi,&Zheng, Weiying.(2021).MONOLITHIC MULTIGRID FOR REDUCED MAGNETOHYDRODYNAMIC EQUATIONS.JOURNAL OF COMPUTATIONAL MATHEMATICS,39(3),453-470. |
| MLA | Zhang, Xiaodi,et al."MONOLITHIC MULTIGRID FOR REDUCED MAGNETOHYDRODYNAMIC EQUATIONS".JOURNAL OF COMPUTATIONAL MATHEMATICS 39.3(2021):453-470. |
入库方式： OAI收割
来源：数学与系统科学研究院
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