KMS Of Academy of mathematics and systems sciences, CAS
| A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation | |
Lu, Peipei1; Xu, Xuejun2,3
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| 2019-10-01 | |
| Source Publication | JOURNAL OF SCIENTIFIC COMPUTING
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| ISSN | 0885-7474 |
| Volume | 81Issue:1Pages:291-311 |
| Abstract | In this paper, we present a robust multilevel preconditioner for the algebraic system resulting from the continuous interior penalty finite element method for the approximation of the Helmholtz equation. The key idea in this work is the replacement of traditional smoothers by the one level overlapping domain decomposition method on coarse grids. The proposed multilevel method then serves as a preconditioner in the outer GMRES iteration. Numerical results show that for fixed wave numbers, the convergence of our multilevel method is independent of the mesh size. Furthermore, the performance of the algorithm depends relatively mildly on the wave number. |
| Keyword | Multilevel method Helmholtz equation High wave number Continuous interior penalty finite element method GMRES method Overlapping domain decomposition method |
| DOI | 10.1007/s10915-019-01015-z |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11671302] ; National Natural Science Foundation of China[11871272] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000485319000014 |
| Publisher | SPRINGER/PLENUM PUBLISHERS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/33317 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Lu, Peipei |
| Affiliation | 1.Soochow Univ, Sch Math Sci, Suzhou 215006, Peoples R China 2.Tongji Univ, Sch Math Sci, Shanghai 200442, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, POB 2719, Beijing 100190, Peoples R China |
| Recommended Citation GB/T 7714 | Lu, Peipei,Xu, Xuejun. A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,81(1):291-311. |
| APA | Lu, Peipei,&Xu, Xuejun.(2019).A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation.JOURNAL OF SCIENTIFIC COMPUTING,81(1),291-311. |
| MLA | Lu, Peipei,et al."A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation".JOURNAL OF SCIENTIFIC COMPUTING 81.1(2019):291-311. |
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