KMS Of Academy of mathematics and systems sciences, CAS
| ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS | |
Wang, Kun1; Wong, Yau Shu2; Huang, Jizu3,4
| |
| 2019 | |
| Source Publication | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| ISSN | 1705-5105 |
| Volume | 16Issue:3Pages:412-435 |
| Abstract | Motivated by our recent work about pollution-free difference schemes for solving Helmholtz equation with high wave numbers, this paper presents an analysis of error estimate for the numerical solution on the annulus and hollow sphere domains. By applying the weighted-test-function method and defining two special interpolation operators, we first derive the existence, uniqueness, stability and the pollution-free error estimate for the one-dimensional problems generated from a method based on separation of variables. Utilizing the spherical harmonics and approximations results, we then prove the pollution-free error estimate in L-2-norm for multidimensional Helmholtz problems. |
| Keyword | Helmholtz equation error estimate finite difference method polar and spherical coordinates pollution-free scheme |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[11501554] ; National Natural Science Foundation of China[91630205] ; Natural Sciences and Engineering Research Council of Canada ; Chongqing Research Program of Basic Research and Frontier Technology[cstc2017jcyjAX0231] ; Fundamental Research Funds for the Central Universities[106112017CDJXY100006] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000459446500003 |
| Publisher | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/32651 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Wang, Kun |
| Affiliation | 1.Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China 2.Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| Recommended Citation GB/T 7714 | Wang, Kun,Wong, Yau Shu,Huang, Jizu. ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2019,16(3):412-435. |
| APA | Wang, Kun,Wong, Yau Shu,&Huang, Jizu.(2019).ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,16(3),412-435. |
| MLA | Wang, Kun,et al."ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 16.3(2019):412-435. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment