| 题名 | On symmetry breaking of Allen-Cahn |
| 作者 | |
| 通讯作者 | Chaoyu Quan |
| 发表日期 | 2022
|
| DOI | |
| 发表期刊 | |
| ISSN | 2708-0560
|
| EISSN | 2708-0579
|
| 卷号 | 3期号:2 |
| 摘要 | This paper is concerned with numerical solutions for the Allen-Cahn equation with standard double well potential and periodic boundary conditions. Surprisingly it is found that using standard numerical discretizations with high precision computational solutions may converge to completely incorrect steady states. This happens for very smooth initial data and state-of-the-art algorithms. We analyze this phenomenon and showcase the resolution of this problem by a new symmetry-preserving filter technique. We develop a new theoretical framework and rigorously prove the convergence to steady states for the filtered solutions. |
| 关键词 | |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
|
| 学校署名 | 第一
; 通讯
|
| 资助项目 | NSFC[11901281,11801550,11871470]
; NSFC/RGC Grant[11961160718]
; Hong Kong RGC grant["GRF 16307317",16309518]
; Guangdong Basic and Applied Basic Research Foundation[2020A1515010336]
; Stable Support Plan Program of Shenzhen Natural Science Fund[20200925160747003]
|
| WOS研究方向 | Mathematics
|
| WOS类目 | Mathematics, Applied
|
| WOS记录号 | WOS:000804100400002
|
| 出版者 | |
| 来源库 | 人工提交
|
| 引用统计 |
被引频次[WOS]：3
|
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/333663 |
| 专题 | 深圳国际数学中心（杰曼诺夫数学中心）（筹） 理学院_数学系 |
| 作者单位 | 1.SUSTech International Center for Mathematics, Southern University of Science and Technology, Shenzhen, P.R. China 2.Department of Mathematics, Southern University of Science and Technology, Shenzhen, P.R. China 3.Guangdong Provincial Key Laboratory of Computational Science and Material Design, Southern University of Science and Technology, Shenzhen, P.R. China 4.Division of Science and Technology, BNU-HKBU United International College, Zhuhai, P.R. China. 5.Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, P.O. Box 71010, Wuhan 430071, P.R. China. |
| 第一作者单位 | 深圳国际数学中心（杰曼诺夫数学中心）（筹）; 数学系 |
| 通讯作者单位 | 深圳国际数学中心（杰曼诺夫数学中心）（筹） |
| 第一作者的第一单位 | 深圳国际数学中心（杰曼诺夫数学中心）（筹） |
| 推荐引用方式 GB/T 7714 |
Dong Li,Chaoyu Quan,Tao Tang,et al. On symmetry breaking of Allen-Cahn[J]. CSIAM Transactions on Applied Mathematics,2022,3(2).
|
| APA |
Dong Li,Chaoyu Quan,Tao Tang,&Wen Yang.(2022).On symmetry breaking of Allen-Cahn.CSIAM Transactions on Applied Mathematics,3(2).
|
| MLA |
Dong Li,et al."On symmetry breaking of Allen-Cahn".CSIAM Transactions on Applied Mathematics 3.2(2022).
|
| 条目包含的文件 | ||||||
| 文件名称/大小 | 文献类型 | 版本类型 | 开放类型 | 使用许可 | 操作 | |
| On symmetry breaking（4554KB） | -- | -- | 开放获取 | -- | 浏览 | |
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。
;
修改评论