A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART I: CONVERGENCE
文献类型：期刊论文
| 作者 | Li, Lingxiao3; Ni, Mingjiu4; Zheng, Weiying1,2
|
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2019 |
| 卷号 | 41期号:4页码:B796-B815 |
| 关键词 | inductionless MHD equations block preconditioner field-of-values-equivalence conservation of charges augmented Lagrangian finite element method |
| ISSN号 | 1064-8275 |
| DOI | 10.1137/17M1160768 |
| 英文摘要 | A charge-conservative finite element method is proposed to solve the inductionless and incompressible magnetohydrodynamic (MHD) equations in three dimensions. The method yields an exactly divergence-free current density directly. We prove that, as the spatial mesh size h -> 0, the fully discrete solutions converge to the solutions of the semicontinuous problem weakly in H-1(Omega) x H(div, Omega) upon an extracted subsequence, and as the time step size tau -> 0, the semicontinuous solutions converge to the solutions of the continuous problem weakly in L-2 (0, T; H-1(Omega))x L-2(0, T; H (div, Omega)) upon an extracted subsequence. This yields the existence of the continuous solutions naturally. Three numerical experiments are presented to show the convergence rate of discrete solutions and the charge-conservation of the method. |
| 资助项目 | China NSF[51636009] ; China NSF[91430215] ; National Science Fund for Distinguished Young Scholars[11725106] ; National Magnetic Confinement Fusion Science Program[2015GB110003] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000483924100033 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35575]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Li, Lingxiao |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, NCMIS,LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100190, Peoples R China 3.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 4.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 101407, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Lingxiao,Ni, Mingjiu,Zheng, Weiying. A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART I: CONVERGENCE[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2019,41(4):B796-B815. |
| APA | Li, Lingxiao,Ni, Mingjiu,&Zheng, Weiying.(2019).A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART I: CONVERGENCE.SIAM JOURNAL ON SCIENTIFIC COMPUTING,41(4),B796-B815. |
| MLA | Li, Lingxiao,et al."A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART I: CONVERGENCE".SIAM JOURNAL ON SCIENTIFIC COMPUTING 41.4(2019):B796-B815. |
入库方式： OAI收割
来源：数学与系统科学研究院
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