CONVERGENCE OF DZIUK'S FULLY DISCRETE LINEARLY IMPLICIT SCHEME FOR CURVE SHORTENING FLOW
文献类型：期刊论文
| 作者 | Ye, Changqing1,2; Cui, Junzhi1 |
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2021 |
| 卷号 | 59期号:6页码:2823-2842 |
| 关键词 | curve shortening flow fully discrete linearly implicit convergence error estimate |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/21M1391626 |
| 英文摘要 | Convergence of Dziuk's fully discrete linearly implicit scheme which was proposed in [G. Dziuk, Math. Models Methods Appl. At., 4 (1994), pp. 589-606] for curve shortening flow still remains open. In this paper, we prove that this scheme has an optimal error estimate in the H-1-norm. |
| 资助项目 | National Natural Science Foundation of China[51739007] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000748784400002 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59905]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Ye, Changqing |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Ye, Changqing,Cui, Junzhi. CONVERGENCE OF DZIUK'S FULLY DISCRETE LINEARLY IMPLICIT SCHEME FOR CURVE SHORTENING FLOW[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2021,59(6):2823-2842. |
| APA | Ye, Changqing,&Cui, Junzhi.(2021).CONVERGENCE OF DZIUK'S FULLY DISCRETE LINEARLY IMPLICIT SCHEME FOR CURVE SHORTENING FLOW.SIAM JOURNAL ON NUMERICAL ANALYSIS,59(6),2823-2842. |
| MLA | Ye, Changqing,et al."CONVERGENCE OF DZIUK'S FULLY DISCRETE LINEARLY IMPLICIT SCHEME FOR CURVE SHORTENING FLOW".SIAM JOURNAL ON NUMERICAL ANALYSIS 59.6(2021):2823-2842. |
入库方式： OAI收割
来源：数学与系统科学研究院
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