A MULTILEVEL CORRECTION TYPE OF ADAPTIVE FINITE ELEMENT METHOD FOR EIGENVALUE PROBLEMS
文献类型：期刊论文
| 作者 | Hong, Qichen1,2; Xie, Hehu1,2 ; Xu, Fei3
|
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2018 |
| 卷号 | 40期号:6页码:A4208-A4235 |
| 关键词 | eigenvalue problem multilevel correction adaptive finite element method convergence optimal complexity |
| ISSN号 | 1064-8275 |
| DOI | 10.1137/17M1138157 |
| 英文摘要 | An adaptive finite element method for eigenvalue problems is proposed based on the multilevel correction scheme. Different from the standard adaptive finite element method which requires solving eigenvalue problems on adaptively refined triangulations, our scheme only includes solving associated boundary value problems on adaptive triangulations and small scale eigenvalue problems on a very low dimensional space. Since there is no eigenvalue problem to be solved on adaptively refined triangulations, which needs more computation and memory than solving associated boundary value problem, the efficiency of the proposed method can be improved to be similar to that of the adaptive finite element method for associated boundary value problems. The convergence and optimal complexity is theoretically verified and numerically demonstrated. |
| 资助项目 | Science Challenge Project[TZ2016002] ; National Natural Science Foundations of China[NSFC 11771434] ; National Natural Science Foundations of China[91330202] ; National Natural Science Foundations of China[11801021] ; National Natural Science Foundations of China[11371026] ; National Natural Science Foundations of China[11001259] ; National Center for Mathematics and Interdisciplinary Science, CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000453747800022 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/31854]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hong, Qichen |
| 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 3.Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hong, Qichen,Xie, Hehu,Xu, Fei. A MULTILEVEL CORRECTION TYPE OF ADAPTIVE FINITE ELEMENT METHOD FOR EIGENVALUE PROBLEMS[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2018,40(6):A4208-A4235. |
| APA | Hong, Qichen,Xie, Hehu,&Xu, Fei.(2018).A MULTILEVEL CORRECTION TYPE OF ADAPTIVE FINITE ELEMENT METHOD FOR EIGENVALUE PROBLEMS.SIAM JOURNAL ON SCIENTIFIC COMPUTING,40(6),A4208-A4235. |
| MLA | Hong, Qichen,et al."A MULTILEVEL CORRECTION TYPE OF ADAPTIVE FINITE ELEMENT METHOD FOR EIGENVALUE PROBLEMS".SIAM JOURNAL ON SCIENTIFIC COMPUTING 40.6(2018):A4208-A4235. |
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。