ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS
文献类型：期刊论文
| 作者 | Wang, Kun1; Wong, Yau Shu2; Huang, Jizu3,4
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| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
 |
| 出版日期 | 2019 |
| 卷号 | 16期号:3页码:412-435 |
| ISSN号 | 1705-5105 |
| 关键词 | Helmholtz equation error estimate finite difference method polar and spherical coordinates pollution-free scheme |
| 英文摘要 | 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. |
| 资助项目 | 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研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| WOS记录号 | WOS:000459446500003 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32650]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Wang, Kun |
| 作者单位 | 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 |
| 推荐引用方式 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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