Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics
文献类型：期刊论文
| 作者 | Yang, Bin1,2; Zhou, Aihui1,2 |
| 刊名 | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
 |
| 出版日期 | 2021-02-18 |
| 卷号 | 55期号:1页码:209-227 |
| 关键词 | Adaptive finite element approximation complexity convergence nonlinear eigenvalue problem non-polynomial behavior unique continuation property |
| ISSN号 | 0764-583X |
| DOI | 10.1051/m2an/2020078 |
| 英文摘要 | In this paper, we investigate a class of nonlinear eigenvalue problems resulting from quantum physics. We first prove that for any open set G, there exists an eigenfunction that cannot be a polynomial on G, which may be reviewed as a refinement of the classic unique continuation property. Then we apply the non-polynomial behavior of the eigenfunction to show that the adaptive finite element approximations are convergent even if the initial mesh is not fine enough. We finally remark that similar arguments can be applied to a class of linear eigenvalue problems that improve the relevant existing results. |
| 资助项目 | National Key Research and Development of China[2019YFA0709601] ; Key Research Program of Frontier Sciences of the Chinese Academy of Sciences[QYZDJ-SSW-SYS010] ; National Science Foundation of China[91730302] ; National Science Foundation of China[11671389] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000619239500008 |
| 出版者 | EDP SCIENCES S A |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58143]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhou, Aihui |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, 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 | Yang, Bin,Zhou, Aihui. Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2021,55(1):209-227. |
| APA | Yang, Bin,&Zhou, Aihui.(2021).Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,55(1),209-227. |
| MLA | Yang, Bin,et al."Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 55.1(2021):209-227. |
入库方式： OAI收割
来源：数学与系统科学研究院
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