SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS
文献类型：期刊论文
| 作者 | Hu, Qiya ; Zhang, Haiyang
|
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2016 |
| 卷号 | 38期号:4页码:A2232-A2261 |
| 关键词 | Helmholtz equation large wave number plane wave discretization nonoverlapping domain decomposition parallel preconditioner iteration counts |
| ISSN号 | 1064-8275 |
| DOI | 10.1137/151003040 |
| 英文摘要 | In this paper we are concerned with the plane wave methods for Helmholtz equations with large wave numbers. We extend the plane wave weighted least-squares (PWLS) method and the plane wave discontinuous Galerkin (PWDG) method to Helmholtz equations in inhomogeneous mediums and with mixed boundary conditions. The main goal of this paper is to construct parallel preconditioners for solving the resulting discrete systems. To this end, we design a kind of substructuring domain decomposition preconditioner for both the two-dimensional case and the three-dimensional case, which is different from the existing substructuring preconditioners. We apply the proposed preconditioner to solve the Helmholtz systems generated by the PWLS method or the PWDG method, and we find that the new preconditioners with practical coarse mesh sizes possess relatively stable convergence, i.e., the iteration counts of the corresponding iterative methods (PCG or preconditioned GMRES) increase slowly when the wave number increases (and the mesh size decreases). |
| 资助项目 | Natural Science Foundation of China[G11571352] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000385283400014 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/23761]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hu, Qiya |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Qiya,Zhang, Haiyang. SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2016,38(4):A2232-A2261. |
| APA | Hu, Qiya,&Zhang, Haiyang.(2016).SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,38(4),A2232-A2261. |
| MLA | Hu, Qiya,et al."SUBSTRUCTURING PRECONDITIONERS FOR THE SYSTEMS ARISING FROM PLANE WAVE DISCRETIZATION OF HELMHOLTZ EQUATIONS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 38.4(2016):A2232-A2261. |
入库方式： OAI收割
来源：数学与系统科学研究院
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