Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations
文献类型：期刊论文
| 作者 | Dai, Xiaoying1,2 ; Kuang, Xiong1,2; Xin, Jack3; Zhou, Aihui1,2
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| 刊名 | JOURNAL OF SCIENTIFIC COMPUTING
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| 出版日期 | 2020-08-29 |
| 卷号 | 84期号:3页码:27 |
| 关键词 | Proper orthogonal decomposition Galerkin projection Error indicator Adaptive Two grid |
| ISSN号 | 0885-7474 |
| DOI | 10.1007/s10915-020-01288-9 |
| 英文摘要 | In this article, we propose a two-grid based adaptive proper orthogonal decomposition (POD) method to solve the time dependent partial differential equations. Based on the error obtained in the coarse grid, we propose an error indicator for the numerical solution obtained in the fine grid. Our new method is cheap and easy to be implement. We apply our new method to the solution of time-dependent advection-diffusion equations with the Kolmogorov flow and the ABC flow. The numerical results show that our method is more efficient than the existing POD methods. |
| 资助项目 | National Key Research and Development Program of China[2019YFA0709601] ; National Natural Science Foundation of China[91730302] ; National Natural Science Foundation of China[11671389] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS010] ; NSF[IIS-1632935] ; NSF[DMS-1854434] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000563635700001 |
| 出版者 | SPRINGER/PLENUM PUBLISHERS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52036]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Dai, Xiaoying |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 3.Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA |
| 推荐引用方式 GB/T 7714 | Dai, Xiaoying,Kuang, Xiong,Xin, Jack,et al. Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations[J]. JOURNAL OF SCIENTIFIC COMPUTING,2020,84(3):27. |
| APA | Dai, Xiaoying,Kuang, Xiong,Xin, Jack,&Zhou, Aihui.(2020).Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations.JOURNAL OF SCIENTIFIC COMPUTING,84(3),27. |
| MLA | Dai, Xiaoying,et al."Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations".JOURNAL OF SCIENTIFIC COMPUTING 84.3(2020):27. |
入库方式： OAI收割
来源：数学与系统科学研究院
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