| 题名 | SCALAR AUXILIARY VARIABLE APPROACH IN ITERATIVE MINIMIZATION FORMULATION FOR SADDLE POINT SEARCH |
| 作者 | |
| 通讯作者 | Gu, Shuting |
| 发表日期 | 2024
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| 发表期刊 | |
| ISSN | 1539-6746
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| 卷号 | 22期号:4 |
| 摘要 | Saddle points have been extensively investigated in the study of activated process in gradient flow driven by free energy. This paper aims to use the iterative minimization formulation processes in the H-1 gradient flow, i.e., index-1 saddle points of the corresponding energy in H-1 metric. In each cycle of the IMF, we introduce the SAV approach to minimize the auxiliary functional. A general principle of constructing linear, efficient and robust energy stable schemes for this approach is presented. This new SAV based IMF method improves the efficiency of saddle point search and can be implemented easily for different free energies. By conducting some numerical experiments for the Ginzburg-Landau and the Landau-Brazovskii free energies, the efficient performance of the proposed method is validated. |
| 关键词 | |
| 相关链接 | [来源记录] |
| 收录类别 | |
| 语种 | 英语
|
| 学校署名 | 其他
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| 资助项目 | NSFC["12071207","11901211"]
; Natural Science Foundation of Top Talent of SZTU[GDRC202137]
; Natural Science Foundation of Guangdong Province[2021A1515010359]
; Guangdong Provincial Key Laboratory of Computational Science and Material Design[2019B030301001]
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| WOS研究方向 | Mathematics
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| WOS类目 | Mathematics, Applied
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| WOS记录号 | WOS:001292716600005
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| 出版者 | |
| 来源库 | Web of Science
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| 引用统计 | |
| 成果类型 | 期刊论文 |
| 条目标识符 | http://sustech.caswiz.com/handle/2SGJ60CL/804680 |
| 专题 | 理学院_数学系 南方科技大学 |
| 作者单位 | 1.Shenzhen Technol Univ, Coll Big Data & Internet, Shenzhen 518118, Peoples R China 2.Southern Univ Sci & Technol SUSTech, Int Ctr Math, Shenzhen 518055, Peoples R China 3.Southern Univ Sci & Technol SUSTech, Int Ctr Math, Natl Ctr Appl Math Shenzhen,Dept Math, Guangdong Prov Key Lab Computat Sci & Mate rial De, Shenzhen 518055, Peoples R China |
| 推荐引用方式 GB/T 7714 |
Gu, Shuting,Wang, Chenxi,Zhang, Zhen. SCALAR AUXILIARY VARIABLE APPROACH IN ITERATIVE MINIMIZATION FORMULATION FOR SADDLE POINT SEARCH[J]. COMMUNICATIONS IN MATHEMATICAL SCIENCES,2024,22(4).
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| APA |
Gu, Shuting,Wang, Chenxi,&Zhang, Zhen.(2024).SCALAR AUXILIARY VARIABLE APPROACH IN ITERATIVE MINIMIZATION FORMULATION FOR SADDLE POINT SEARCH.COMMUNICATIONS IN MATHEMATICAL SCIENCES,22(4).
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| MLA |
Gu, Shuting,et al."SCALAR AUXILIARY VARIABLE APPROACH IN ITERATIVE MINIMIZATION FORMULATION FOR SADDLE POINT SEARCH".COMMUNICATIONS IN MATHEMATICAL SCIENCES 22.4(2024).
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| 条目包含的文件 | 条目无相关文件。 | |||||
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