FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM
文献类型：期刊论文
| 作者 | Hong, Qichen1,2; Xie, Hehu1,2 ; Yue, Meiling1,2; Zhang, Ning1,2
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| 刊名 | INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
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| 出版日期 | 2018 |
| 卷号 | 15期号:1-2页码:260-276 |
| 关键词 | Eigenvalue problem computable error estimate guaranteed upper bound guaranteed lower bound complementary method |
| ISSN号 | 1705-5105 |
| 英文摘要 | This paper is concerned with the computable error estimates for the eigenvalue problem which is solved by the general conforming finite element methods on the general meshes. Based on the computable error estimate, we can give an asymptotically lower bound of the general eigenvalues. hirthermore, we also give a guaranteed upper bound of the error estimates for the first eigenfunction approximation and a guaranteed lower bound of the first eigenvalue based on computable error estimator. Some numerical examples are presented to validate the theoretical results deduced in this paper. |
| 资助项目 | National Natural Science Foundations of China[NSFC 91730302] ; National Natural Science Foundations of China[11771434] ; National Natural Science Foundations of China[91330202] ; National Natural Science Foundations of China[11371026] ; National Natural Science Foundations of China[11001259] ; National Natural Science Foundations of China[11031006] ; National Natural Science Foundations of China[2011CB309703] ; Science Challenge Project[JCKY2016212A502] ; National Center for Mathematics and Interdisciplinary Science, CAS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000428719500015 |
| 出版者 | ISCI-INST SCIENTIFIC COMPUTING & INFORMATION |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30109]  |
| 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 |
| 推荐引用方式 GB/T 7714 | Hong, Qichen,Xie, Hehu,Yue, Meiling,et al. FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2018,15(1-2):260-276. |
| APA | Hong, Qichen,Xie, Hehu,Yue, Meiling,&Zhang, Ning.(2018).FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,15(1-2),260-276. |
| MLA | Hong, Qichen,et al."FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 15.1-2(2018):260-276. |
入库方式： OAI收割
来源：数学与系统科学研究院
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