Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains
文献类型：期刊论文
| 作者 | Cao, LQ; Cui, JZ; Zhu, DC |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2002-07-24 |
| 卷号 | 40期号:2页码:543-577 |
| 关键词 | multiscale asymptotic analysis second order Helmholtz equation rapidly oscillating coefficients finite element method postprocessing technique |
| ISSN号 | 0036-1429 |
| 英文摘要 | The multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains are discussed in this paper. A multiscale asymptotic analysis formulation for this problem is presented by constructing properly the boundary layer. A multiscale numerical algorithm and a postprocessing technique are given. Finally, numerical results show that the method presented in this paper is effective and reliable. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000177261400008 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17465]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Cao, LQ |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 2.Beijing Univ Aeronaut & Astronaut, Solid Mech Res Ctr, Beijing 100083, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, LQ,Cui, JZ,Zhu, DC. Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2002,40(2):543-577. |
| APA | Cao, LQ,Cui, JZ,&Zhu, DC.(2002).Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains.SIAM JOURNAL ON NUMERICAL ANALYSIS,40(2),543-577. |
| MLA | Cao, LQ,et al."Multiscale asymptotic analysis and numerical simulation for the second order Helmholtz equations with rapidly oscillating coefficients over general convex domains".SIAM JOURNAL ON NUMERICAL ANALYSIS 40.2(2002):543-577. |
入库方式： OAI收割
来源：数学与系统科学研究院
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