Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients
文献类型：期刊论文
| 作者 | Allegretto, Walter1; Cao, Liqun2 ; Lin, Yanping1
|
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2008-03-01 |
| 卷号 | 20期号:3页码:543-576 |
| 关键词 | homogenization asymptotic expansion parabolic equation with rapidly oscillating coefficients boundary layer finite element method linear system of differential equation with real periodic coefficients |
| ISSN号 | 1078-0947 |
| 英文摘要 | In this paper we discuss initial-boundary problems for second order parabolic equations with rapidly oscillating coefficients in a bounded convex domain. The asymptotic expansions of the solutions for problems with multiple spatial and temporal scales are presented in four different cases. Higher order corrector methods are constructed and associated explicit convergence rates obtained. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000252485600004 |
| 出版者 | AMER INST MATHEMATICAL SCIENCES |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6705]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Allegretto, Walter |
| 作者单位 | 1.Univ Alberta, Dept Math & Stat, Edmonton, AB T6G 2G1, Canada 2.Chinese Acad Sci, Inst Comp Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Allegretto, Walter,Cao, Liqun,Lin, Yanping. Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2008,20(3):543-576. |
| APA | Allegretto, Walter,Cao, Liqun,&Lin, Yanping.(2008).Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,20(3),543-576. |
| MLA | Allegretto, Walter,et al."Multiscale asymptotic expansion for second order parabolic equations with rapidly oscillating coefficients".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 20.3(2008):543-576. |
入库方式： OAI收割
来源：数学与系统科学研究院
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