A TWO-LEVEL PRECONDITIONED HELMHOLTZ-JACOBI-DAVIDSON METHOD FOR THE MAXWELL EIGENVALUE PROBLEM
文献类型：期刊论文
| 作者 | Liang, Qigang2; Xu, Xuejun1,2
|
| 刊名 | MATHEMATICS OF COMPUTATION
 |
| 出版日期 | 2022-03-01 |
| 卷号 | 91期号:334页码:623-657 |
| 关键词 | Maxwell eigenvalue problem edge element Helmholtz projection Jacobi-Davidson method domain decomposition |
| ISSN号 | 0025-5718 |
| DOI | 10.1090/mcom/3702 |
| 英文摘要 | In this paper, based on a domain decomposition method, we propose an efficient two-level preconditioned Helmholtz-Jacobi-Davidson (PHJD) method for solving the algebraic eigenvalue problem resulting from the edge element approximation of the Maxwell eigenvalue problem. In order to eliminate the components in orthogonal complement space of the eigenvalue, we shall solve a parallel preconditioned system and a Helmholtz projection system together in fine space. After one coarse space correction in each iteration and minimizing the Rayleigh quotient in a small dimensional Davidson space, we finally get the error reduction of this two-level PHJD method as gamma = c(H)(1 - C delta(2)/H-2), where C is a constant independent of the mesh size h and the diameter of subdomains H, delta is the overlapping size among the subdomains, and c(H) decreasing monotonically to 1 as H -> 0, which means the greater the number of subdomains, the better the convergence rate. Numerical results supporting our theory are given. |
| 资助项目 | National Natural Science Foundation of China[12071350] ; National Natural Science Foundation of China[11871272] ; Shanghai Municipal Science and Technology Major Project[2021SHZDZX0100] ; Science and Technology Commission of Shanghai Municipality |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000771358600004 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60190]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Xu, Xuejun |
| 作者单位 | 1.Chinese Acad Sci, Inst Computat Math, AMSS, Beijing 100190, Peoples R China 2.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liang, Qigang,Xu, Xuejun. A TWO-LEVEL PRECONDITIONED HELMHOLTZ-JACOBI-DAVIDSON METHOD FOR THE MAXWELL EIGENVALUE PROBLEM[J]. MATHEMATICS OF COMPUTATION,2022,91(334):623-657. |
| APA | Liang, Qigang,&Xu, Xuejun.(2022).A TWO-LEVEL PRECONDITIONED HELMHOLTZ-JACOBI-DAVIDSON METHOD FOR THE MAXWELL EIGENVALUE PROBLEM.MATHEMATICS OF COMPUTATION,91(334),623-657. |
| MLA | Liang, Qigang,et al."A TWO-LEVEL PRECONDITIONED HELMHOLTZ-JACOBI-DAVIDSON METHOD FOR THE MAXWELL EIGENVALUE PROBLEM".MATHEMATICS OF COMPUTATION 91.334(2022):623-657. |
入库方式： OAI收割
来源：数学与系统科学研究院
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