FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS
文献类型：期刊论文
| 作者 | Shen, Lihua1; Xin, Jack2; Zhou, Aihui3
|
| 刊名 | MULTISCALE MODELING & SIMULATION
 |
| 出版日期 | 2008 |
| 卷号 | 7期号:3页码:1029-1041 |
| 关键词 | Kolmogorov-Petrovsky-Piskunov front speeds random shear flows in cylinders stochastic eigenvalue problems two-scale finite element method |
| ISSN号 | 1540-3459 |
| DOI | 10.1137/080717420 |
| 英文摘要 | We study the Kolmogorov-Petrovsky-Piskunov minimal front speeds in spatially random shear flows in cylinders of various cross sections based on the variational principle and an associated elliptic eigenvalue problem. We compare a standard finite element method and a two-scale finite element method in random front speed computations. The two-scale method iterates solutions between coarse and fine meshes and reduces the cost of the eigenvalue computation to that of a boundary value problem while maintaining the accuracy. The two-scale method saves computing time and provides accurate enough solutions. In the case of square and elliptical cross sections, our simulation shows that larger aspect ratios of domain cross sections increase the average front speeds in agreement with an asymptotic theory. |
| 资助项目 | National Science Foundation (NSF) of China[10425105] ; National Science Foundation (NSF) of China[DMS-0549215] ; National Basic Research Program[2005CB321704] |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000265776900002 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/5862]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Shen, Lihua |
| 作者单位 | 1.Capital Normal Univ, Dept Math, Beijing 100037, Peoples R China 2.Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shen, Lihua,Xin, Jack,Zhou, Aihui. FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS[J]. MULTISCALE MODELING & SIMULATION,2008,7(3):1029-1041. |
| APA | Shen, Lihua,Xin, Jack,&Zhou, Aihui.(2008).FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS.MULTISCALE MODELING & SIMULATION,7(3),1029-1041. |
| MLA | Shen, Lihua,et al."FINITE ELEMENT COMPUTATIONS OF KOLMOGOROV-PETROVSKY-PISKUNOV FRONT SPEEDS IN RANDOM SHEAR FLOWS IN CYLINDERS".MULTISCALE MODELING & SIMULATION 7.3(2008):1029-1041. |
入库方式： OAI收割
来源：数学与系统科学研究院
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