Numerical simulation for convection-diffusion problem with periodic micro-structure
文献类型：期刊论文
| 作者 | Wu Zhihua; Yan Ningning |
| 刊名 | ACTA MATHEMATICA SCIENTIA
 |
| 出版日期 | 2008-04-01 |
| 卷号 | 28期号:2页码:236-252 |
| 关键词 | convection-diffusion problem homogenization micro-structure asymptotic expansion |
| ISSN号 | 0252-9602 |
| 英文摘要 | In this article, the convection dominated convection-diffusion problems with the periodic micro-structure are discussed. A two-scale finite element scheme based on the homogenization technique for this kind of problems is provided. The error estimates between the exact solution and the approximation solution of the homogenized equation or the two-scale finite element scheme are analyzed. It is shown that the scheme provided in this article is convergent for any fixed diffusion coefficient delta, and it may be convergent independent of delta under some conditions. The numerical results demonstrating the theoretical results are presented in this article. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000255879500002 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6227]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wu Zhihua |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu Zhihua,Yan Ningning. Numerical simulation for convection-diffusion problem with periodic micro-structure[J]. ACTA MATHEMATICA SCIENTIA,2008,28(2):236-252. |
| APA | Wu Zhihua,&Yan Ningning.(2008).Numerical simulation for convection-diffusion problem with periodic micro-structure.ACTA MATHEMATICA SCIENTIA,28(2),236-252. |
| MLA | Wu Zhihua,et al."Numerical simulation for convection-diffusion problem with periodic micro-structure".ACTA MATHEMATICA SCIENTIA 28.2(2008):236-252. |
入库方式： OAI收割
来源：数学与系统科学研究院
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