Parareal algorithms with local time-integrators for time-fractional differential equations
文献类型：期刊论文
| 作者 | Wu, Shu-Lin1; Zhou, Tao2
|
| 刊名 | JOURNAL OF COMPUTATIONAL PHYSICS
 |
| 出版日期 | 2018-04-01 |
| 卷号 | 358页码:135-149 |
| 关键词 | Parareal Time-fractional differential equations Local time-integrators |
| ISSN号 | 0021-9991 |
| DOI | 10.1016/j.jcp.2017.12.029 |
| 英文摘要 | It is challenge work to design parareal algorithms for time-fractional differential equations due to the historical effect of the fractional operator. A direct extension of the classical parareal methodto such equations will lead to unbalance computational time in each process. In this work, we present an efficient parareal iteration scheme to overcome this issue, by adopting two recently developed local time-integrators for time fractional operators. In both approaches, one introduces auxiliary variables to localized the fractional operator. To this end, we propose a new strategy to perform the coarse grid correction so that the auxiliary variables and the solution variable are corrected separately in a mixed pattern. It is shown that the proposed parareal algorithm admits robust rate of convergence. Numerical examples are presented to support our conclusions. (C) 2017 Elsevier Inc. All rights reserved. |
| 资助项目 | NSFC[11301362] ; NSFC[61573010] ; NSFC[11688101] ; NSFC[91630312] ; NSFC[91630203] ; NSFC[11571351] ; NSFC[11731006] ; NSF of Technology & Education of Sichuan Province[2014JQ0035] ; NSF of Technology & Education of Sichuan Province[15ZA0220] ; NSF of SUSE[2015LX01] ; science challenge project[TZ2016001] ; NCMIS ; youth innovation promotion association (CAS) ; [2015M580777] ; [2016T90841] |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000427395300008 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29839]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Zhou, Tao |
| 作者单位 | 1.Sichuan Univ Sci & Engn, Sch Sci, Zigong, Sichuan, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, Shu-Lin,Zhou, Tao. Parareal algorithms with local time-integrators for time-fractional differential equations[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2018,358:135-149. |
| APA | Wu, Shu-Lin,&Zhou, Tao.(2018).Parareal algorithms with local time-integrators for time-fractional differential equations.JOURNAL OF COMPUTATIONAL PHYSICS,358,135-149. |
| MLA | Wu, Shu-Lin,et al."Parareal algorithms with local time-integrators for time-fractional differential equations".JOURNAL OF COMPUTATIONAL PHYSICS 358(2018):135-149. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。